- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
- electric_fieldElectric field variable provided by electromagnetic solver.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Electric field variable provided by electromagnetic solver.
- potentialElectrostatic potential variable.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Electrostatic potential variable.
- property_namefield_solver_interface_propertyName of the solver interface material property.
Default:field_solver_interface_property
C++ Type:std::string
Controllable:No
Description:Name of the solver interface material property.
- solverelectrostaticElectrostatic or electromagnetic field solver (default = electrostatic).
Default:electrostatic
C++ Type:MooseEnum
Controllable:No
Description:Electrostatic or electromagnetic field solver (default = electrostatic).
FieldSolverMaterial
FieldSolverMaterial provides an electric field property for Zapdos objects. This enables an interface to an external electromagnetic field solver for all Zapdos objects. Default is an electrostatic interface, where the potential coupled variable parameter must be provided.
Overview
FieldSolverMaterial provides the electric field as a material property. The calculation of the electric field can either be determined assuming electrostatic or electromagnetic conditions.
When assuming electrostatic conditions (which is the default setting), the electric field is defined as:
where
is the electric field as a material property generated by this object, and
is a user supplied electrostatic potential.
When assuming electromagnetic conditions, the electic field is defined as:
where
is a user supplied electric field from an electromagnetic solver.
Example Input File Syntax
For electrostatic conditions, FieldSolverMaterial is set as:
[./field_solver]
type = FieldSolverMaterial
potential = potential
block = 0
[../]For electromagnetic conditions, FieldSolverMaterial is set as:
[./field_solver]
type = FieldSolverMaterial
electric_field = e_field
solver = electromagnetic
block = 0
[../]Input Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (test/tests/surface_charge/dbd_test.i)
- (test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions_MeanEnergy_Einstein_Relation_EffEfield.i)
- (test/tests/Schottky_emission/Example4/Input.i)
- (test/tests/mms/bcs/2D_DielectricBCWithEffEfield.i)
- (test/tests/water_only/water_only.i)
- (test/tests/reflections/base/Input.i)
- (test/tests/mms/bcs/2D_EnergyBC_NegivateOutWardFacingEfield.i)
- (test/tests/Lymberopoulos_rf_discharge/Lymberopoulos_with_argon_metastables_2D_At100mTorr_CoarseMesh.i)
- (test/tests/mms/continuity_equations/2D_Single_Fluid_Diffusion_Advection.i)
- (test/tests/DriftDiffusionAction/RF_Plasma_no_actions.i)
- (test/tests/reflections/Schottky/Input.i)
- (test/tests/Conference_Syntax_Tests/Lymberopoulos_with_argon_metastables_2D_At100mTorr.i)
- (test/tests/mms/bcs/2D_ElectronBC_NegivateOutWardFacingEfield.i)
- (test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions.i)
- (test/tests/mms/materials/2D_PlasmaDielectricConstant.i)
- (test/tests/automatic_differentiation/ad_argon.i)
- (test/tests/Conference_Syntax_Tests/Lymberopoulos_with_argon_metastables.i)
- (test/tests/mms/bcs/2D_EnergyBC.i)
- (test/tests/mms/bcs/1D_LymberopoulosIonBC.i)
- (test/tests/field_solver/field_solver_material_electrostatic.i)
- (test/tests/DriftDiffusionAction/2D_RF_Plasma_no_actions.i)
- (test/tests/crane_action/rate_units.i)
- (test/tests/accelerations/Acceleration_By_Averaging_main.i)
- (test/tests/Schottky_emission/PaschenLaw/Input.i)
- (test/tests/Lymberopoulos_rf_discharge/Lymberopoulos_with_argon_metastables.i)
- (test/tests/reflections/low_initial/Input.i)
- (test/tests/crane_action/townsend_units.i)
- (test/tests/accelerations/Acceleration_By_Averaging_acceleration_sub.i)
- (test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions_MeanEnergy.i)
- (test/tests/reflections/high_initial/Input.i)
- (test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions_MeanEnergy_Einstein_Relation.i)
- (test/tests/1d_dc/mean_en.i)
- (test/tests/1d_dc/NonlocalPotentialBCWithSchottky.i)
- (test/tests/DriftDiffusionAction/mean_en_no_actions.i)
- (test/tests/1d_dc/densities_mean_en.i)
- (test/tests/Conference_Syntax_Tests/Lymberopoulos_with_argon_metastables_2D_At1Torr.i)
- (test/tests/Schottky_emission/Example4/Jac.i)
- (test/tests/1d_dc/mean_en_multi.i)
- (test/tests/accelerations/Acceleration_By_Shooting_Method.i)
- (test/tests/Schottky_emission/Example1/Input.i)
- (test/tests/surface_charge/interface_test.i)
- (test/tests/field_solver/field_solver_material_electromagnetic.i)
- (test/tests/mms/bcs/1D_LymberopoulosElectronBC.i)
- (test/tests/reflections/Schottky_300_V_5_um/Input.i)
- (test/tests/reflections/Schottky_400_V_10_um/Input.i)
- (test/tests/Schottky_emission/Example3/Input.i)
- (test/tests/mms/bcs/2D_ElectronBC.i)
- (test/tests/Schottky_emission/Example2/Input.i)
(test/tests/field_solver/field_solver_material_electrostatic.i)
# Electrostatic test for FieldSolverMaterial object
# Domain: 2D square, x=[0,1], y=[0,1]
# BCs: potential(0,y) = 2, potential(1,y) = 0
# Expected output values:
# potential = -2*x + 2
# field_output = (2, 0, 0)
[Mesh]
[./generated]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
elem_type = QUAD8
[../]
[]
[Variables]
[./potential]
[../]
[]
[AuxVariables]
[./dummy_efield]
family = NEDELEC_ONE
order = FIRST
[../]
[./field_output]
family = NEDELEC_ONE
order = FIRST
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = potential
[../]
[]
[AuxKernels]
[./field_output_aux]
type = ADVectorMaterialRealVectorValueAux
property = 'field_solver_interface_property'
variable = field_output
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = potential
boundary = left
value = 2
[../]
[./right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[../]
[]
[Materials]
active = field_solver
[./field_solver]
type = FieldSolverMaterial
potential = potential
block = 0
[../]
[./field_solver_error_check]
type = FieldSolverMaterial
block = 0
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[./out]
type = Exodus
show = 'potential field_output'
[../]
[]
(test/tests/field_solver/field_solver_material_electromagnetic.i)
# Temporary electromagnetic test for FieldSolverMaterial object
# Domain: 2D square, x=[0,1], y=[0,1]
# Expected output:
# e_field = (1, 2, 0)
# field_output = (1, 2, 0)
[Mesh]
[./generated]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
elem_type = QUAD8
[../]
[]
[Problem]
solve = false
[]
[AuxVariables]
[./field_output]
family = NEDELEC_ONE
order = FIRST
[../]
[./e_field]
family = LAGRANGE_VEC
order = FIRST
[../]
[]
[ICs]
[./e_field_ic]
type = VectorConstantIC
x_value = 1
y_value = 2
variable = e_field
[../]
[]
[AuxKernels]
[./field_output_aux]
type = ADVectorMaterialRealVectorValueAux
property = 'field_solver_interface_property'
variable = field_output
[../]
[]
[Materials]
[./field_solver]
type = FieldSolverMaterial
electric_field = e_field
solver = electromagnetic
block = 0
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
[./out]
type = Exodus
show = 'e_field field_output'
[../]
[]
(test/tests/surface_charge/dbd_test.i)
# This example sets up a simple varying-voltage discharge with a
# dielectric at the right boundary.
#
# Two charged particle species are considered, creatively named 'pos'
# and 'neg'. They both have the same initial conditions and boundary
# conditions; the only difference is their charge.
# As the voltage varies, the particle flux to the right boundary
# (including both advection and diffusion) will switch polarity and
# the surface charge will become increasingly negative or positive.
#
# The left boundary is a driven electrode with a sinusoidal waveform.
# A dielectric boundary condition including surface charge accumulation
# is included on the right boundary.
#
# Note that without surface charge the electric field across both
# boundaries should be identical since their permittivities are
# both set to the same value.
# Surface charge shields the electric field in the gas region,
# preventing strong field buildup.
dom0Scale = 1e-4
dom1Scale = 1e-4
[GlobalParams]
#offset = 40
potential_units = kV
use_moles = true
[]
[Mesh]
# The mesh file generates the appropriate 1D mesh, but the interfaces
# needed for the potential and surface charge have not been defined.
# Here SideSetsBetweenSubdomainsGenerator is used to generate the
# appropriate interfaces at the dielectrics.
#
# Block 0 = plasma region
# Block 1 = dielectric
[file]
type = FileMeshGenerator
file = 'dbd_mesh.msh'
[]
[plasma_right]
# plasma master
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'plasma_right'
input = file
[]
[dielectric_left]
# left dielectric master
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'dielectric_left'
input = plasma_right
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = dielectric_left
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
automatic_scaling = true
compute_scaling_once = false
end_time = 10e-5
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
#num_steps = 1
#petsc_options = '-snes_converged_reason -snes_linesearch_monitor -snes_test_jacobian'
solve_type = NEWTON
line_search = 'basic'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_stol'
petsc_options_value = 'lu NONZERO 1.e-10 0'
nl_rel_tol = 1e-8
nl_div_tol = 1e4
l_max_its = 100
nl_max_its = 25
dtmin = 1e-22
dtmax = 1e-6
#dt = 1e-8
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-9
growth_factor = 1.2
optimal_iterations = 30
[]
[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
output_material_properties = true
show_material_properties = 'surface_charge'
[]
[]
[AuxVariables]
[neg_density]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[pos_density]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[neg_calc]
type = DensityMoles
variable = neg_density
density_log = neg
execute_on = 'initial timestep_end'
block = 0
[]
[pos_calc]
type = DensityMoles
variable = pos_density
density_log = pos
execute_on = 'initial timestep_end'
block = 0
[]
#[Arp_calc]
# type = DensityMoles
# variable = Arp_density
# density_log = Arp
# execute_on = 'initial timestep_end'
# block = 0
#[]
[x_d0]
type = Position
variable = x
position_units = ${dom0Scale}
execute_on = 'initial timestep_end'
block = 0
[]
[x_d1]
type = Position
variable = x
position_units = ${dom1Scale}
execute_on = 'initial timestep_end'
block = 1
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Efield_l]
type = Efield
component = 0
variable = Efield
position_units = ${dom1Scale}
block = 1
[]
[]
[Variables]
[potential_dom0]
block = 0
[]
[potential_dom1]
block = 1
[]
[neg]
block = 0
[]
[pos]
block = 0
[]
#[mean_en]
# block = 0
#[]
#[Arp]
# block = 0
#[]
[]
[Kernels]
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential_dom0
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential_dom1
block = 1
position_units = ${dom1Scale}
[]
# Potential source terms
#[em_source]
# type = ChargeSourceMoles_KV
# variable = potential_dom0
# charged = em
# block = 0
#[]
#[Arp_source]
# type = ChargeSourceMoles_KV
# variable = potential_dom0
# charged = Arp
# block = 0
#[]
#
# Electrons
#[d_em_dt]
# type = TimeDerivativeLog
# variable = em
# block = 0
#[]
[neg_advection]
type = EFieldAdvection
variable = neg
position_units = ${dom0Scale}
block = 0
[]
[neg_diffusion]
type = CoeffDiffusion
variable = neg
position_units = ${dom0Scale}
block = 0
[]
[pos_advection]
type = EFieldAdvection
variable = pos
position_units = ${dom0Scale}
block = 0
[]
[pos_diffusion]
type = CoeffDiffusion
variable = pos
position_units = ${dom0Scale}
block = 0
[]
#[em_offset]
# type = LogStabilizationMoles
# variable = em
# block = 0
#[]
#
#[d_mean_en_dt]
# type = TimeDerivativeLog
# variable = mean_en
# block = 0
#[]
#[mean_en_advection]
# type = ADEFieldAdvection
# em = em
# variable = mean_en
# potential = potential_dom0
# position_units = ${dom0Scale}
# block = 0
#[]
#[mean_en_diffusion]
# type = ADCoeffDiffusion
# variable = mean_en
# position_units = ${dom0Scale}
# block = 0
#[]
#[mean_en_joule_heating]
# type = ADJouleHeating
# variable = mean_en
# em = em
# potential = potential_dom0
# position_units = ${dom0Scale}
# block = 0
#[]
#[mean_en_offset]
# type = LogStabilizationMoles
# variable = mean_en
# block = 0
#[]
#
#[d_Arp_dt]
# type = TimeDerivativeLog
# variable = Arp
# block = 0
#[]
#[Arp_advection]
# type = ADEFieldAdvection
# variable = Arp
# potential = potential_dom0
# position_units = ${dom0Scale}
# block = 0
#[]
#[Arp_diffusion]
# type = ADCoeffDiffusion
# variable = Arp
# position_units = ${dom0Scale}
# block = 0
#[]
#[Arp_offset]
# type = LogStabilizationMoles
# variable = Arp
# block = 0
#[]
[]
[InterfaceKernels]
# At the dielectric interfaces, the potential is required to be continuous
# in value but discontinuous in slope due to surface charge accumulation.
#
# The potential requires two different boundary conditions on each side:
# (1) An InterfaceKernel to provide the Neumann boundary condition
# (2) A MatchedValueBC to ensure that the potential remains continuous
#
# This interface kernel simply applies a dielectric BC with surface charge
# accumulation.
[potential_right]
type = PotentialSurfaceCharge
neighbor_var = potential_dom1
variable = potential_dom0
position_units = ${dom0Scale}
neighbor_position_units = ${dom1Scale}
boundary = plasma_right
[]
[]
[BCs]
# Interface BCs:
[match_potential]
type = MatchedValueBC
variable = potential_dom1
v = potential_dom0
boundary = 'dielectric_left'
[]
# Electrode and ground BCs:
# Electrode is at x = 0, named 'left'
[potential_left]
type = FunctionDirichletBC
variable = potential_dom0
function = potential_input
boundary = 'left'
[]
# Ground is at x = 0.3 mm, named 'right'
[potential_dirichlet_right]
type = DirichletBC
variable = potential_dom1
boundary = right
value = 0
[]
# Both charged species will have a specified dirichlet BC on the driven electrode
# and a diffusion BC on the right side.
# As the voltage varies with time, the charged particle flux on the right will
# switch between positive and negative, effectively changing the surface
# charge polarity.
[neg_left]
type = DirichletBC
variable = neg
value = -10
boundary = 'left'
[]
[neg_right]
type = HagelaarIonDiffusionBC
variable = neg
r = 0
position_units = ${dom0Scale}
boundary = 'plasma_right'
[]
[pos_left]
type = DirichletBC
variable = pos
value = -10
boundary = 'left'
[]
[pos_right]
type = HagelaarIonDiffusionBC
variable = pos
r = 0
position_units = ${dom0Scale}
boundary = 'plasma_right'
[]
[]
[ICs]
[potential_dom0_ic]
type = FunctionIC
variable = potential_dom0
function = potential_ic_func
[]
[potential_dom1_ic]
type = FunctionIC
variable = potential_dom1
function = potential_ic_func
[]
[neg_ic]
type = ConstantIC
variable = neg
value = -10
block = 0
[]
[pos_ic]
type = ConstantIC
variable = pos
value = -10
block = 0
[]
[]
[Functions]
# Define a sinusoidal voltage pulse with a frequency of 50 kHz
# Amplitude is set to 200 Volts
# (Note that here the amplitude is set to 0.2. Potential units are
# typically included as kV, not V. This option is set in the
# GlobalParams block.)
[potential_input]
type = ParsedFunction
symbol_names = 'f0'
symbol_values = '50e3'
expression = '-0.2*sin(2*3.1415926*f0*t)'
[]
# Set the initial condition to a line from -10 V on the left and
# 0 on the right.
# (Poisson solver tends to struggle with a uniformly zero potential IC.)
[potential_ic_func]
type = ParsedFunction
expression = '-0.001 * (2.000e-4 - x)'
[]
[]
[Materials]
# This material creates a boundary-restricted material property called "surface_charge"
# The value of surface charge is based on the total charged particle flux impacting
# the specified boundary.
# In this case we have two charged species, 'pos' (positively charged) and 'neg'
# (negatively charged).
[surface_charge_material]
type = ADSurfaceCharge
species = 'neg pos'
position_units = ${dom0Scale}
boundary = 'plasma_right'
[]
# This just defines some constants that Zapdos needs to run.
[gas_constants]
type = GenericConstantMaterial
block = 0
prop_names = ' e N_A k_boltz eps se_energy T_gas massem p_gas'
prop_values = '1.6e-19 6.022e23 1.38e-23 8.854e-12 1. 400 9.11e-31 1.01e5'
[]
#
[dielectric_left_side]
type = ADGenericConstantMaterial
prop_names = 'diffpotential_dom0'
prop_values = '8.85e-12'
block = 0
[]
[gas_phase]
type = ADGenericConstantMaterial
prop_names = 'diffpotential_dom1'
prop_values = '8.85e-12'
block = 1
[]
######
# HeavySpeciesMaterial defines charge, mass, transport coefficients, and
# temperature for each species.
#
# Transport coefficients and temperature are defined as ADMaterialProperties.
# Although they currently (as of June 16, 2020) remain constant, future
# implementations may include mixture-averaged diffusion coefficients and
# effective ion temperatures with nonlinear dependence on other variables.
######
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = neg
heavy_species_mass = 6.64e-26
heavy_species_charge = -1.0
diffusivity = 1.6897e-5
block = 0
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = pos
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
diffusivity = 1.6897e-5
block = 0
[]
[field_solver0]
type = FieldSolverMaterial
potential = potential_dom0
block = 0
[]
[field_solver1]
type = FieldSolverMaterial
potential = potential_dom1
block = 1
[]
[]
(test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions_MeanEnergy_Einstein_Relation_EffEfield.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_Coupling_Electons_Potential_Ions_MeanEnergy_Einstein_Relation_EffEfield_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[potential]
initial_from_file_var = potential
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[Ex]
initial_from_file_var = Ex
[]
[Ey]
initial_from_file_var = Ey
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EffectiveEFieldAdvection
variable = ion
u = Ex
v = Ey
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Potential Equations
[potential_diffusion]
type = CoeffDiffusionLin
variable = potential
position_units = 1.0
[]
[ion_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = ion
potential_units = V
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
potential_units = V
[]
#Eff. Efield
[EffEfield_X_time_deriv]
type = TimeDerivative
variable = Ex
[]
[EffEfield_X_ForceBody]
type = EffectiveEField
variable = Ex
nu = 5.0
component = 0
position_units = 1.0
[]
[EffEfield_Y_time_deriv]
type = TimeDerivative
variable = Ey
[]
[EffEfield_Y_ForceBody]
type = EffectiveEField
variable = Ey
nu = 5.0
component = 1
position_units = 1.0
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = 1.0
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_diffusion_correction]
type = ThermalConductivityDiffusion
variable = mean_en
em = em
position_units = 1.0
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = 1.0
potential_units = V
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[potential_sol]
[]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[Ex_sol]
[]
[Ey_sol]
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[Ex_sol]
type = FunctionAux
variable = Ex_sol
function = Ex_fun
[]
[Ey_sol]
type = FunctionAux
variable = Ey_sol
function = Ey_fun
[]
[]
[Functions]
#Material Variables
#Electron diffusion coeff.
[diffem_coeff]
type = ConstantFunction
value = 0.05
[]
#Electron mobility coeff.
[muem_coeff]
type = ConstantFunction
value = 0.01
[]
#Electron energy diffusion coeff.
[diffmean_en_coeff]
type = ParsedFunction
vars = 'diffem_coeff'
vals = 'diffem_coeff'
value = '5.0 / 3.0 * diffem_coeff'
[]
#Electron energy mobility coeff.
[mumean_en_coeff]
type = ParsedFunction
vars = 'muem_coeff'
vals = 'muem_coeff'
value = '5.0 / 3.0 * muem_coeff'
[]
#Ion diffusion coeff.
[diffion]
type = ConstantFunction
value = 0.1
[]
#Ion mobility coeff.
[muion]
type = ConstantFunction
value = 0.025
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.01
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + cos(pi/2*x)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 1.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(ee*(2*cos((pi*x)/2) + cos(pi*y)*sin(2*pi*t)))/(5*diffpotential*pi^2)'
[]
#The manufactured electron energy solution
[energy_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'sin(pi*y) + sin(2*pi*t)*cos(pi*y)*sin(pi*y) + 0.75 + cos(pi/2*x)'
[]
[mean_en_fun]
type = ParsedFunction
vars = 'energy_fun em_fun'
vals = 'energy_fun em_fun'
value = 'log(energy_fun) + em_fun'
[]
#The manufactured eff. Efield solution
[Ex_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(ee*exp(-5*t)*sin((pi*x)/2)*(exp(5*t) - 1))/(5*diffpotential*pi)'
[]
[Ey_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(2*ee*exp(-5*t)*sin(pi*y))/(4*diffpotential*pi^2 + 25*diffpotential) -
(ee*sin(pi*y)*(5*sin(2*pi*t) - 2*pi*cos(2*pi*t)))/(diffpotential*pi*(4*pi^2 + 25))'
[]
#Electron diffusion coeff.
[diffem]
type = ParsedFunction
vars = 'diffem_coeff energy_fun'
vals = 'diffem_coeff energy_fun'
value = 'diffem_coeff * energy_fun'
[]
#Electron mobility coeff.
[muem]
type = ParsedFunction
vars = 'muem_coeff energy_fun'
vals = 'muem_coeff energy_fun'
value = 'muem_coeff * energy_fun'
[]
#Electron energy diffusion coeff.
[diffmean_en]
type = ParsedFunction
vars = 'diffmean_en_coeff energy_fun'
vals = 'diffmean_en_coeff energy_fun'
value = 'diffmean_en_coeff * energy_fun'
[]
#Electron energy mobility coeff.
[mumean_en]
type = ParsedFunction
vars = 'mumean_en_coeff energy_fun'
vals = 'mumean_en_coeff energy_fun'
value = 'mumean_en_coeff * energy_fun'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee diffpotential diffem_coeff muem_coeff N_A'
vals = 'ee diffpotential diffem_coeff muem_coeff N_A'
value = '((2*pi*cos(2*pi*t)*cos(pi*y))/5 - (diffem_coeff*pi^2*sin((pi*x)/2)^2)/4 -
diffem_coeff*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos(pi*y) -
sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t)) + (diffem_coeff*pi^2*cos((pi*x)/2)*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/4 + (diffem_coeff*pi^2*(5*sin(pi*y) +
cos(pi*y)*sin(2*pi*t))*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/5 -
(ee*muem_coeff*sin((pi*x)/2)^2*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(10*diffpotential) -
(ee*muem_coeff*sin((pi*x)/2)^2*(cos((pi*x)/2) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/(10*diffpotential) +
(ee*muem_coeff*cos((pi*x)/2)*(cos((pi*x)/2) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(10*diffpotential) +
(ee*muem_coeff*cos(pi*y)*sin(2*pi*t)*(cos((pi*x)/2) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential) + (ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(cos(pi*y) -
sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t))*(cos((pi*x)/2) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/(5*diffpotential) +
(ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential*pi)) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee diffpotential diffion muion N_A'
vals = 'ee diffpotential diffion muion N_A'
value = '((diffion*pi^2*(9*cos((pi*x)/2) + 40*sin(pi*y)))/40 +
(9*ee*muion*exp(-5*t)*sin((pi*x)/2)^2*(exp(5*t) - 1))/(100*diffpotential) -
(ee*muion*exp(-5*t)*cos((pi*x)/2)*(exp(5*t) - 1)*((9*cos((pi*x)/2))/10 + sin(pi*y) + 1))/(10*diffpotential) -
(ee*muion*exp(-5*t)*cos(pi*y)*(2*pi + 5*exp(5*t)*sin(2*pi*t) -
2*pi*exp(5*t)*cos(2*pi*t))*((9*cos((pi*x)/2))/10 + sin(pi*y) + 1))/(diffpotential*(4*pi^2 + 25)) -
(ee*muion*exp(-5*t)*cos(pi*y)*sin(pi*y)*(2*pi + 5*exp(5*t)*sin(2*pi*t) -
2*pi*exp(5*t)*cos(2*pi*t)))/(diffpotential*(4*pi^2 + 25))) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee diffpotential diffem_coeff muem_coeff N_A'
vals = 'ee diffpotential diffem_coeff muem_coeff N_A'
value = '(((4*cos((pi*x)/2) + 4*sin(pi*y) + 4*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3)*(172*ee*muem_coeff*cos(2*pi*t)^2 -
282*ee*muem_coeff + 180*ee*muem_coeff*cos((pi*x)/2)^2 + 160*ee*muem_coeff*cos((pi*x)/2)^3 +
664*ee*muem_coeff*cos(pi*y)^2 - 480*ee*muem_coeff*cos(pi*y)^4 -
66*ee*muem_coeff*cos((pi*x)/2) - 296*ee*muem_coeff*sin(pi*y) +
200*diffem_coeff*diffpotential*pi^2 - 664*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^2 +
480*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^4 + 364*ee*muem_coeff*cos(pi*y)*sin(2*pi*t) -
90*ee*muem_coeff*cos((pi*x)/2)*sin(pi*y) + 75*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2) +
140*diffem_coeff*diffpotential*pi^2*sin(pi*y) + 16*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2) -
8*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^2 + 176*ee*muem_coeff*cos(2*pi*t)^2*sin(pi*y) -
320*ee*muem_coeff*cos(pi*y)^3*sin(2*pi*t) + 200*ee*muem_coeff*cos((pi*x)/2)^2*sin(pi*y) +
464*ee*muem_coeff*cos(pi*y)^2*sin(pi*y) + 300*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)^2 -
1200*diffem_coeff*diffpotential*pi^2*cos(pi*y)^2 + 160*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*sin(pi*y) +
104*ee*muem_coeff*cos((pi*x)/2)^2*cos(pi*y)*sin(2*pi*t) - 40*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^3*sin(2*pi*t) +
408*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^2*sin(pi*y) + 96*ee*muem_coeff*cos(pi*y)^3*sin(2*pi*t)*sin(pi*y) +
160*diffem_coeff*diffpotential*pi^2*cos(2*pi*t)^2*sin(pi*y) -
2000*diffem_coeff*diffpotential*pi^2*cos(pi*y)^3*sin(2*pi*t) + 400*diffem_coeff*diffpotential*pi^2*cos(pi*y)^2*sin(pi*y) -
32*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*cos(pi*y)^2 - 464*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^2*sin(pi*y) +
186*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) + 272*ee*muem_coeff*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
1260*diffem_coeff*diffpotential*pi^2*cos(pi*y)*sin(2*pi*t) + 500*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*sin(pi*y) -
408*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*cos(pi*y)^2*sin(pi*y) -
96*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^3*sin(2*pi*t)*sin(pi*y) -
400*diffem_coeff*diffpotential*pi^2*cos(2*pi*t)^2*cos(pi*y)^2*sin(pi*y) +
448*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
80*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) +
240*diffem_coeff*diffpotential*pi^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
48*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 80*ee*muem_coeff*cos((pi*x)/2)^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
100*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t)*sin(pi*y)))/(960*diffpotential) +
(pi*cos(2*pi*t)*cos(pi*y)*(4*cos((pi*x)/2) + 24*sin(pi*y) + 20*cos((pi*x)/2)*sin(pi*y) + 20*sin(pi*y)^2 +
8*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3))/10 - (diffem_coeff*pi^2*sin((pi*x)/2)^2*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/4 - (diffem_coeff*pi^2*sin((pi*x)/2)^2*(cos((pi*x)/2) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))/4 - diffem_coeff*pi^2*(cos(pi*y) - sin(2*pi*t) +
2*cos(pi*y)^2*sin(2*pi*t))^2*(cos((pi*x)/2) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1) +
(diffem_coeff*pi^2*cos((pi*x)/2)*(cos((pi*x)/2) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/4 - diffem_coeff*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos(pi*y) -
sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t))*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4) +
(ee*sin(2*pi*t)*sin(pi*y)*(diffem_coeff*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4) - (ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential*pi)))/(5*diffpotential*pi) +
diffem_coeff*pi^2*sin(pi*y)*(4*cos(pi*y)*sin(2*pi*t) + 1)*(cos((pi*x)/2) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4) -
(ee*sin((pi*x)/2)^2*(4*cos((pi*x)/2) + 4*sin(pi*y) +
4*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3)*(10*ee*muem_coeff + 10*ee*muem_coeff*cos((pi*x)/2) +
10*ee*muem_coeff*sin(pi*y) + 25*diffem_coeff*diffpotential*pi^2 +
2*ee*muem_coeff*cos(pi*y)*sin(2*pi*t)))/(1000*diffpotential^2*pi^2)) / N_A'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + cos(pi/2*x)) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = 'log(32. + cos(pi/2*x)) + em_ICs'
[]
[]
[BCs]
[potential_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
[energy_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ex_BC]
type = FunctionDirichletBC
variable = Ex
function = 'Ex_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ey_BC]
type = FunctionDirichletBC
variable = Ey
function = 'Ey_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffpotential diffion muion'
prop_values = 'diffpotential diffion muion'
[]
[Material_Coeff_Set2]
type = ADMMSEEDFRates
electrons = em
mean_energy = mean_en
prop_names = 'diffem muem diffmean_en mumean_en'
prop_values = 'diffem muem diffmean_en mumean_en'
d_prop_d_actual_mean_en = 'diffem_coeff muem_coeff diffmean_en_coeff mumean_en_coeff'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[Ex_l2Error]
type = ElementL2Error
variable = Ex
function = Ex_fun
[]
[Ey_l2Error]
type = ElementL2Error
variable = Ey
function = Ey_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/Schottky_emission/Example4/Input.i)
dom0Scale = 1
dom0Size = 2E-6 #m
vhigh = -230E-3 #kV
negVHigh = 230E-3 #kV
relaxTime = 1e-9 #s
threeTimesRelaxTime = 3e-9 #s
resistance = 1
area = 5.02e-7 # Formerly 3.14e-6
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = ${threeTimesRelaxTime}
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 1e-8
nl_abs_tol = 2e-6
dtmin = 1e-15
# dtmax = 1E-6
nl_max_its = 50
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 20
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[current_density_user_object]
type = CurrentDensityShapeSideUserObject
boundary = left
potential = potential
em = em
ip = Arp
mean_en = mean_en
execute_on = 'linear nonlinear'
[]
[data_provider]
type = ProvideMobility
electrode_area = ${area}
ballast_resist = ${resistance}
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 20
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 20
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 35
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = DensityMoles
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = DensityMoles
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
# [potential_left]
# type = NeumannCircuitVoltageMoles_KV
# variable = potential
# boundary = left
# function = potential_bc_func
# ions = Arp
# data_provider = data_provider
# electrons = em
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[potential_left]
boundary = left
type = PenaltyCircuitPotential
variable = potential
current = current_density_user_object
surface_potential = ${negVHigh}
surface = 'cathode'
penalty = 1
data_provider = data_provider
electrons = em
ions = Arp
electron_energy = mean_en
area = ${area}
potential_units = 'kV'
position_units = ${dom0Scale}
resistance = ${resistance}
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
tau = ${relaxTime}
relax = true
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -30
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -30
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -25
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/mms/bcs/2D_DielectricBCWithEffEfield.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_DielectricBCWithEffEfield_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[Ex]
initial_from_file_var = Ex
[]
[Ey]
initial_from_file_var = Ey
[]
[potential]
initial_from_file_var = potential
[]
[]
# [ICs]
# [em_IC]
# type = FunctionIC
# variable = em
# function = 'em_ICs'
# []
# [ion_IC]
# type = FunctionIC
# variable = ion
# function = 'ion_ICs'
# []
# [mean_en_IC]
# type = FunctionIC
# variable = mean_en
# function = 'mean_en_ICs'
# []
# []
[Kernels]
#Electron Equations
[em_time_derivative]
type = ElectronTimeDerivative
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = ElectronTimeDerivative
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EffectiveEFieldAdvection
variable = ion
u = Ex
v = Ey
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Eff. Efield
[EffEfield_X_time_deriv]
type = ADTimeDerivative
variable = Ex
[]
[EffEfield_X_diffusion]
type = MatDiffusion
D_name = diffEx
variable = Ex
[]
[EffEfield_X_source]
type = BodyForce
variable = Ex
function = 'Ex_source'
[]
[EffEfield_Y_time_deriv]
type = ADTimeDerivative
variable = Ey
[]
[EffEfield_Y_diffusion]
type = MatDiffusion
D_name = diffEy
variable = Ey
[]
[EffEfield_Y_source]
type = BodyForce
variable = Ey
function = 'Ey_source'
[]
#Potential
[Potential_time_deriv]
type = ADTimeDerivative
variable = potential
[]
[Potential_diffusion]
type = CoeffDiffusionLin
variable = potential
position_units = 1.0
[]
[Potential_source]
type = BodyForce
variable = potential
function = 'potential_source'
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[Ex_sol]
[]
[Ey_sol]
[]
[potential_sol]
[]
[]
[AuxKernels]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[Ex_sol]
type = FunctionAux
variable = Ex_sol
function = Ex_fun
[]
[Ey_sol]
type = FunctionAux
variable = Ey_sol
function = Ey_fun
[]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[]
[Functions]
#Material Variables
[massem]
type = ConstantFunction
value = 2.0
[]
#Electron diffusion coeff.
[diffem]
type = ConstantFunction
value = 0.05
[]
[muem]
type = ConstantFunction
value = 0.01
[]
#Electron energy mobility coeff.
[diffmean_en]
type = ConstantFunction
value = 0.05
[]
#Ion diffusion coeff.
[diffion]
type = ParsedFunction
vars = diffem
vals = diffem
value = diffem
[]
[muion]
type = ParsedFunction
vars = muem
vals = muem
value = muem
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.05
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 2.0 + sin(pi*x)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 2.0 + sin(pi*x)) / N_A)'
[]
#The manufactured electron energy solution
[mean_en_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = 'log(((3*massem*pi*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))^2)/(16*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))) / N_A)'
[]
#The manufactured eff. Efield solution
[Ex_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi*cos(pi*y)*(sin(pi*t) + 1)'
[]
#The manufactured potential solution
[potential_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '0.25*(sin(pi*t)/pi + 1.0)*(sin(pi*y) + sin(pi*x)) - t'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(diffem*pi^2*sin(pi*x) + (diffem*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 + (2*pi*cos(2*pi*t)*cos(pi*y))/5 - (muem*pi*(pi + sin(pi*t))*(10*sin(pi*x) + 10*sin(pi*y) + 10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) + 2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/20) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(diffion*pi^2*sin(pi*x) + (diffion*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 + (2*pi*cos(2*pi*t)*cos(pi*y))/5 + (muion*pi^2*(sin(pi*t) + 1)*(10*sin(pi*x) + 10*sin(pi*y) + 10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) + 2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '((3*massem*pi*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))*(8*muion*pi^2*cos(pi*t)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2) - (diffpotential*pi^2*sin(pi*t) - pi*sin(pi*t)*(sin(pi*x) + sin(pi*y)))/ee + (16*muion*pi^2*cos(2*pi*t)*cos(pi*y)*(sin(pi*t) + 1))/5))/(8*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2)) - diffmean_en*((3*massem*pi*((pi*cos(pi*t)*cos(pi*y))/ee - 8*muion*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(sin(pi*t) + 1))^2)/(8*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2)) + (3*massem*pi*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))^2*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5))/(16*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 2)^2) - (3*massem*pi*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))*(8*muion*pi*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5)*(sin(pi*t) + 1) - (pi^2*cos(pi*t)*sin(pi*y))/ee))/(8*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2)) + (3*massem*pi*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))^2*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)^2)/(8*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 2)^3) + (3*massem*pi*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))*((pi*cos(pi*t)*cos(pi*y))/ee - 8*muion*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(sin(pi*t) + 1))*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5))/(4*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 2)^2)) - diffmean_en*((3*massem*pi*((pi*cos(pi*t)*cos(pi*x))/ee - 8*muion*pi^2*cos(pi*x)*(sin(pi*t) + 1))^2)/(8*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2)) + (3*massem*pi^3*cos(pi*x)^2*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))^2)/(8*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 2)^3) + (3*massem*pi^3*sin(pi*x)*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))^2)/(16*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 2)^2) - (3*massem*pi*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))*(8*muion*pi^3*sin(pi*x)*(sin(pi*t) + 1) - (pi^2*cos(pi*t)*sin(pi*x))/ee))/(8*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2)) + (3*massem*pi^2*cos(pi*x)*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))*((pi*cos(pi*t)*cos(pi*x))/ee - 8*muion*pi^2*cos(pi*x)*(sin(pi*t) + 1)))/(4*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 2)^2)) - (3*massem*pi^2*cos(2*pi*t)*cos(pi*y)*((diffpotential*pi*cos(pi*t) - cos(pi*t)*(sin(pi*x) + sin(pi*y)) + 4)/ee + 8*muion*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 2))^2)/(40*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 2)^2)) / N_A'
[]
#The Ex source term.
[Ex_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi^2*cos(pi*t)*cos(pi*x) - diffpotential*pi^3*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi^2*cos(pi*t)*cos(pi*y) - diffpotential*pi^3*cos(pi*y)*(sin(pi*t) + 1)'
[]
[potential_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(cos(pi*t)*(sin(pi*x) + sin(pi*y)))/4 + diffpotential*pi^2*sin(pi*x)*(sin(pi*t)/(4*pi) + 1/4) + diffpotential*pi^2*sin(pi*y)*(sin(pi*t)/(4*pi) + 1/4) - 1'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = 'log(1.0)'
[]
[V_func_left_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-diffpotential*pi*cos(pi*x)*(sin(pi*t)/(4*pi) + 1/4)'
[]
[V_func_down_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-diffpotential*pi*cos(pi*y)*(sin(pi*t)/(4*pi) + 1/4)'
[]
[]
[BCs]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
[energy_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ex_BC]
type = FunctionDirichletBC
variable = Ex
function = 'Ex_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ey_BC]
type = FunctionDirichletBC
variable = Ey
function = 'Ey_fun'
boundary = '0 1 2 3'
preset = true
[]
[potential_left_BC]
type = DielectricBCWithEffEfield
variable = potential
electrons = em
electron_energy = mean_en
ions = 'ion'
Ex = Ex
Ey = Ey
dielectric_constant = 1.0
thickness = 1.0
emission_coeffs = 'users_gamma'
potential_units = V
position_units = 1.0
boundary = 3
[]
[potential_Dirichlet_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A massem NonAD_muion NonAD_diffpotential diffEx diffEy'
prop_values = 'ee N_A massem muion diffpotential diffpotential diffpotential '
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffion muion diffem muem diffmean_en diffpotential'
prop_values = 'diffion muion diffem muem diffmean_en diffpotential'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[emission_coeffs]
type = ADGenericConstantMaterial
prop_names = 'users_gamma'
prop_values = '1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[Ex_l2Error]
type = ElementL2Error
variable = Ex
function = Ex_fun
[]
[Ey_l2Error]
type = ElementL2Error
variable = Ey
function = Ey_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
# end_time = 50
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/water_only/water_only.i)
dom1Scale = 1e-7
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
type = GeneratedMesh
nx = 1000
xmax = 10
dim = 1
[]
[Problem]
type = FEProblem
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 1e-1
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 1e-3'
nl_rel_tol = 1e-4
nl_abs_tol = 7.6e-5
dtmin = 1e-12
l_max_its = 20
nl_max_its = 20
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 15
[]
[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[emliq_time_deriv]
type = ElectronTimeDerivative
variable = emliq
[]
[emliq_advection]
type = EFieldAdvection
variable = emliq
position_units = ${dom1Scale}
[]
[emliq_diffusion]
type = CoeffDiffusion
variable = emliq
position_units = ${dom1Scale}
[]
[emliq_reactant_first_order_rxn]
type = ReactantFirstOrderRxn
variable = emliq
[]
[emliq_water_bi_sink]
type = ReactantAARxn
variable = emliq
[]
[potential_diffusion]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom1Scale}
[]
# [emliq_charge_source]
# type = ChargeSourceMoles_KV
# variable = potential
# charged = emliq
# []
# [OHm_charge_source]
# type = ChargeSourceMoles_KV
# variable = potential
# charged = OHm
# []
[OHm_time_deriv]
type = ElectronTimeDerivative
variable = OHm
[]
[OHm_advection]
type = EFieldAdvection
variable = OHm
position_units = ${dom1Scale}
[]
[OHm_diffusion]
type = CoeffDiffusion
variable = OHm
position_units = ${dom1Scale}
[]
[OHm_product_first_order_rxn]
type = ProductFirstOrderRxn
variable = OHm
v = emliq
[]
[OHm_product_aabb_rxn]
type = ProductAABBRxn
variable = OHm
v = emliq
[]
[]
[Variables]
[potential]
[]
[emliq]
[]
[OHm]
[]
[]
[AuxVariables]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[emliq_lin]
order = CONSTANT
family = MONOMIAL
[]
[OHm_lin]
order = CONSTANT
family = MONOMIAL
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_emliq]
order = CONSTANT
family = MONOMIAL
[]
[Current_OHm]
order = CONSTANT
family = MONOMIAL
[]
[tot_liq_current]
order = CONSTANT
family = MONOMIAL
[]
[tot_flux_OHm]
order = CONSTANT
family = MONOMIAL
[]
[EFieldAdvAux_emliq]
order = CONSTANT
family = MONOMIAL
[]
[DiffusiveFlux_emliq]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[x_l]
type = Position
variable = x
position_units = ${dom1Scale}
[]
[x_nl]
type = Position
variable = x_node
position_units = ${dom1Scale}
[]
[tot_liq_current]
type = ParsedAux
variable = tot_liq_current
coupled_variables = 'Current_emliq Current_OHm'
expression = 'Current_emliq + Current_OHm'
execute_on = 'timestep_end'
[]
[emliq_lin]
type = DensityMoles
variable = emliq_lin
density_log = emliq
[]
[OHm_lin]
type = DensityMoles
variable = OHm_lin
density_log = OHm
[]
[Efield_l]
type = Efield
component = 0
variable = Efield
position_units = ${dom1Scale}
[]
[Current_emliq]
type = ADCurrent
density_log = emliq
variable = Current_emliq
art_diff = false
position_units = ${dom1Scale}
[]
[Current_OHm]
type = ADCurrent
density_log = OHm
variable = Current_OHm
art_diff = false
position_units = ${dom1Scale}
[]
[tot_flux_OHm]
type = ADTotalFlux
density_log = OHm
variable = tot_flux_OHm
[]
[EFieldAdvAux_emliq]
type = ADEFieldAdvAux
density_log = emliq
variable = EFieldAdvAux_emliq
position_units = ${dom1Scale}
[]
[DiffusiveFlux_emliq]
type = ADDiffusiveFlux
density_log = emliq
variable = DiffusiveFlux_emliq
position_units = ${dom1Scale}
[]
[]
[BCs]
[potential_left]
type = DirichletBC
value = -6.5e-5
variable = potential
boundary = left
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
[emliq_left]
type = NeumannBC
value = 300
variable = emliq
boundary = left
[]
[emliq_right]
type = DCIonBC
variable = emliq
boundary = right
position_units = ${dom1Scale}
[]
[OHm_physical]
type = DCIonBC
variable = OHm
boundary = 'right'
position_units = ${dom1Scale}
[]
[]
[ICs]
[emliq_ic]
type = ConstantIC
variable = emliq
value = -21
[]
[OHm_ic]
type = ConstantIC
variable = OHm
value = -15.6
[]
[]
[Materials]
[water_block]
type = Water
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[]
(test/tests/reflections/base/Input.i)
dom0Scale = 1
dom0Size = 6E-6 #m
vhigh = -175E-3 #kV
[GlobalParams]
# offset = 20
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 1e-15
nl_abs_tol = 0.5e-12
steady_state_start_time = 1E-6
dtmin = 1e-18
dtmax = 0.1E-7
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.9
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
# [em_log_stabilization]
# type = LogStabilizationMoles
# variable = em
# block = 0
# []
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
# [Arp_log_stabilization]
# type = LogStabilizationMoles
# variable = Arp
# block = 0
# []
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
# [mean_en_log_stabilization]
# type = LogStabilizationMoles
# variable = mean_en
# block = 0
# offset = 15
# []
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.01
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
emission_coeffs = 0.01
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = right
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 1
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 1
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -35
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -35
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -35
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.01
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/mms/bcs/2D_EnergyBC_NegivateOutWardFacingEfield.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_EnergyBC_NegivateOutWardFacingEfield_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[Ex]
initial_from_file_var = Ex
[]
[Ey]
initial_from_file_var = Ey
[]
[potential]
initial_from_file_var = potential
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EffectiveEFieldAdvection
variable = ion
u = Ex
v = Ey
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Eff. Efield
[EffEfield_X_time_deriv]
type = TimeDerivative
variable = Ex
[]
[EffEfield_X_diffusion]
type = MatDiffusion
diffusivity = diffEx
variable = Ex
[]
[EffEfield_X_source]
type = BodyForce
variable = Ex
function = 'Ex_source'
[]
[EffEfield_Y_time_deriv]
type = TimeDerivative
variable = Ey
[]
[EffEfield_Y_diffusion]
type = MatDiffusion
diffusivity = diffEy
variable = Ey
[]
[EffEfield_Y_source]
type = BodyForce
variable = Ey
function = 'Ey_source'
[]
#Potential
[Potential_time_deriv]
type = TimeDerivative
variable = potential
[]
[Potential_diffusion]
type = MatDiffusion
diffusivity = diffpotential
variable = potential
[]
[Potential_source]
type = BodyForce
variable = potential
function = 'potential_source'
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = 1.0
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[Ex_sol]
[]
[Ey_sol]
[]
[potential_sol]
[]
[]
[AuxKernels]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[Ex_sol]
type = FunctionAux
variable = Ex_sol
function = Ex_fun
[]
[Ey_sol]
type = FunctionAux
variable = Ey_sol
function = Ey_fun
[]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[]
[Functions]
#Material Variables
[massem]
type = ConstantFunction
value = 1.0
[]
#Electron diffusion coeff.
[diffem]
type = ConstantFunction
value = 0.05
[]
[muem]
type = ConstantFunction
value = 0.01
[]
#Electron energy mobility coeff.
[diffmean_en]
type = ConstantFunction
value = 0.05
[]
[mumean_en]
type = ConstantFunction
value = 0.01
[]
#Ion diffusion coeff.
[diffion]
type = ParsedFunction
vars = diffmean_en
vals = diffmean_en
value = diffmean_en
[]
[muion]
type = ParsedFunction
vars = mumean_en
vals = mumean_en
value = mumean_en
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.25
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'log(((16*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(3*massem*pi*((12*diffmean_en*pi)/5 +
(12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured electron energy solution
[mean_en_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured eff. Efield solution
[Ex_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'pi*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'pi*cos(pi*y)*(sin(pi*t) + 1)'
[]
#The manufactured potential solution
[potential_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-(sin(pi*t) + 1.0)*(sin(pi*y) + sin(pi*x))'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '((32*ee*cos(2*pi*t)*cos(pi*y)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1)^2)/(5*massem*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - diffem*((32*ee*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1))/(massem*pi*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - (16*ee*(pi^2*sin(pi*y) +
(pi^2*cos(pi*y)*sin(2*pi*t))/5)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1)^2)/(massem*pi*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - (768*ee*mumean_en*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(5*massem*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) +
1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) + (128*ee*mumean_en*(pi^2*sin(pi*y) +
(pi^2*cos(pi*y)*sin(2*pi*t))/5)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1)^3)/(5*massem*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) + (4608*ee*mumean_en^2*pi*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*t) + 1)^2*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1)^3)/(25*massem*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^4)) - diffem*((32*ee*pi*cos(pi*x)^2*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))/(massem*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) +
1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - (16*ee*pi*sin(pi*x)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(massem*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) +
1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - (768*ee*mumean_en*pi^2*cos(pi*x)^2*(sin(pi*t) +
1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(5*massem*((12*diffmean_en*pi)/5 +
(12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) +
(128*ee*mumean_en*pi^2*sin(pi*x)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1)^3)/(5*massem*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) + (4608*ee*mumean_en^2*pi^3*cos(pi*x)^2*(sin(pi*t) + 1)^2*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(25*massem*((12*diffmean_en*pi)/5 +
(12*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^4)) -
(32*ee*((12*mumean_en*pi^2*cos(pi*t)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/5 +
(24*mumean_en*pi^2*cos(2*pi*t)*cos(pi*y)*(sin(pi*t) + 1))/25)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(3*massem*pi*((12*diffmean_en*pi)/5 + (12*mumean_en*pi*(sin(t*pi) +
1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3)) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(diffion*pi^2*sin(pi*x) + (diffion*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 - (muion*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) + 5*sin(pi*y) +
10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) +
2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(diffmean_en*pi^2*sin(pi*x) + (diffmean_en*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 + (mumean_en*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) + 5*sin(pi*y) +
10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) +
2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
#The Ex source term.
[Ex_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'pi^2*cos(pi*t)*cos(pi*x) + diffpotential*pi^3*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'pi^2*cos(pi*t)*cos(pi*y) + diffpotential*pi^3*cos(pi*y)*(sin(pi*t) + 1)'
[]
[potential_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-pi*cos(pi*t)*(sin(pi*x) + sin(pi*y)) - diffpotential*pi^2*sin(pi*x)*(sin(pi*t) + 1) -
diffpotential*pi^2*sin(pi*y)*(sin(pi*t) + 1)'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = '4.0'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = '1.0'
[]
[em_left_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(-diffmean_en*pi*cos(pi*x) - mumean_en*pi*cos(pi*x)*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[em_down_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(-(diffmean_en*pi*(5*cos(pi*y) - sin(2*pi*t)*sin(pi*y)))/5 -
mumean_en*pi*cos(pi*y)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[]
[BCs]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
#[energy_left_BC]
# type = FunctionDirichletBC
# variable = mean_en
# function = 'mean_en_fun'
# boundary = 3
# preset = true
#[]
[energy_left_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 3
position_units = 1.0
[]
[energy_left_second_emissions]
type = SakiyamaEnergySecondaryElectronWithEffEfieldBC
variable = mean_en
em = em
ions = ion
Ex = Ex
Ey = Ey
Tse_equal_Te = false
user_se_energy = 1.0
emission_coeffs = 'users_gamma'
boundary = 3
position_units = 1.0
[]
[energy_right_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = 1
preset = true
[]
#[energy_down_BC]
# type = FunctionDirichletBC
# variable = mean_en
# function = 'mean_en_fun'
# boundary = 0
# preset = true
#[]
[energy_down_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 0
position_units = 1.0
[]
[energy_down_second_emissions]
type = SakiyamaEnergySecondaryElectronWithEffEfieldBC
variable = mean_en
em = em
ions = ion
Ex = Ex
Ey = Ey
Tse_equal_Te = false
user_se_energy = 1.0
emission_coeffs = 'users_gamma'
boundary = 0
position_units = 1.0
[]
[energy_up_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = 2
preset = true
[]
[Ex_BC]
type = FunctionDirichletBC
variable = Ex
function = 'Ex_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ey_BC]
type = FunctionDirichletBC
variable = Ey
function = 'Ey_fun'
boundary = '0 1 2 3'
preset = true
[]
[potential_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A massem diffpotential diffEx diffEy'
prop_values = 'ee N_A massem diffpotential diffpotential diffpotential '
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffion muion diffem muem diffmean_en mumean_en'
prop_values = 'diffion muion diffem muem diffmean_en mumean_en'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[emission_coeffs]
type = ADGenericConstantMaterial
prop_names = 'users_gamma'
prop_values = '1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[Ex_l2Error]
type = ElementL2Error
variable = Ex
function = Ex_fun
[]
[Ey_l2Error]
type = ElementL2Error
variable = Ey
function = Ey_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/Lymberopoulos_rf_discharge/Lymberopoulos_with_argon_metastables_2D_At100mTorr_CoarseMesh.i)
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = V
use_moles = true
[]
[Mesh]
type = FileMesh
file = 'GEC_mesh_coarse.msh'
coord_type = RZ
rz_coord_axis = Y
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[potential_ion]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
field_property_name = field_ion
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations (Same as in paper)
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
# Energy loss from elastic collisions
[Elastic_loss]
type = EEDFElasticLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar'
[]
#Effective potential for the Ions
[Ion_potential_time_deriv]
type = TimeDerivative
variable = potential_ion
[]
[Ion_potential_reaction]
type = ScaledReaction
variable = potential_ion
collision_freq = 1283370.875
[]
[Ion_potential_coupled_force]
type = CoupledForce
variable = potential_ion
v = potential
coef = 1283370.875
[]
[]
[AuxVariables]
[emDeBug]
[]
[Ar+_DeBug]
[]
[Ar*_DeBug]
[]
[mean_enDeBug]
[]
[potential_DeBug]
[]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[y]
order = CONSTANT
family = MONOMIAL
[]
[y_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efieldx]
order = CONSTANT
family = MONOMIAL
[]
[Efieldy]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[Current_Ar]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[emRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[exRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[swRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[quRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[]
[AuxKernels]
#[emDeBug]
# type = DebugResidualAux
# variable = emDeBug
# debug_variable = em
#[]
#[Ar+_DeBug]
# type = DebugResidualAux
# variable = Ar+_DeBug
# debug_variable = Ar+
#[]
#[mean_enDeBug]
# type = DebugResidualAux
# variable = mean_enDeBug
# debug_variable = mean_en
#[]
#[Ar*_DeBug]
# type = DebugResidualAux
# variable = Ar*_DeBug
# debug_variable = Ar*
#[]
#[Potential_DeBug]
# type = DebugResidualAux
# variable = potential_DeBug
# debug_variable = potential
#[]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar*
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[y_g]
type = Position
variable = y
position_units = ${dom0Scale}
[]
[y_ng]
type = Position
variable = y_node
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e2
value = -5.231208
execute_on = INITIAL
[]
[Efieldx_calc]
type = Efield
component = 0
variable = Efieldx
position_units = ${dom0Scale}
[]
[Efieldy_calc]
type = Efield
component = 1
variable = Efieldy
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
field_property_name = field_ion
density_log = Ar+
variable = Current_Ar
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_top_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Top_Electrode'
function = potential_top_bc_func
preset = false
[]
[potential_bottom_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Bottom_Electrode'
function = potential_bottom_bc_func
preset = false
[]
[potential_dirichlet_bottom_plate]
type = DirichletBC
variable = potential
boundary = 'Walls'
value = 0
preset = false
[]
[potential_Dielectric]
type = EconomouDielectricBC
variable = potential
boundary = 'Top_Insulator Bottom_Insulator'
electrons = em
ions = Ar+
ion_potentials = potential_ion
electron_energy = mean_en
dielectric_constant = 1.859382e-11
thickness = 0.0127
emission_coeffs = 0.01
position_units = ${dom0Scale}
[]
#New Boundary conditions for electons, same as in paper
[em_physical_diffusion]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[em_Ar+_second_emissions]
type = SakiyamaSecondaryElectronBC
variable = em
field_property_name = field_ion
ions = Ar+
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_advection]
type = SakiyamaIonAdvectionBC
variable = Ar+
field_property_name = field_ion
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[mean_en_Ar+_second_emissions]
type = SakiyamaEnergySecondaryElectronBC
variable = mean_en
electrons = em
ions = Ar+
field_property_name = field_ion
Tse_equal_Te = true
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = meta_density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_top_bc_func]
type = ParsedFunction
expression = '50*sin(2*3.1415926*13.56e6*t)'
[]
[potential_bottom_bc_func]
type = ParsedFunction
expression = '-50*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = 0
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e14)/6.022e23)'
[]
[meta_density_ic_func]
type = ParsedFunction
expression = 'log((1e16)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log((3./2.) * 4) + log((1e14)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[field_solver_ion]
type = FieldSolverMaterial
potential = potential_ion
property_name = field_ion
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = true
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_se_coeff = 0.00
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 1.44409938
diffusivity = 6.428571e-2
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-2
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_00]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_elastic.txt'
reaction = 'em + Ar -> em + Ar'
electrons = em
[]
[reaction_0]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excitation.txt'
reaction = 'em + Ar -> em + Ar*'
mean_energy = mean_en
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_ionization.txt'
reaction = 'em + Ar -> em + em + Ar+'
mean_energy = mean_en
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
reaction = 'em + Ar* -> em + Ar'
property_file = 'Argon_reactions_paper_RateCoefficients/ar_deexcitation.txt'
mean_energy = mean_en
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
reaction = 'em + Ar* -> em + em + Ar+'
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excited_ionization.txt'
mean_energy = mean_en
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-42
reaction_rate_value = 398909.324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
#end_time = 7.4e-3
end_time = 1e-7
dtmax = 1e-9
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
nl_rel_tol = 1e-12
#nl_abs_tol = 7.6e-5
dtmin = 1e-14
l_max_its = 20
#Time steps based on the inverse of the plasma frequency
#[TimeSteppers]
# [Postprocessor]
# type = PostprocessorDT
# postprocessor = InversePlasmaFreq
# scale = 0.1
# []
#[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/mms/continuity_equations/2D_Single_Fluid_Diffusion_Advection.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_Single_Fluid_Diffusion_Advection_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
[]
[AuxVariables]
[potential]
[]
[em_sol]
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential
function = potential_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[]
[Functions]
#Material Variables
#Electron diffusion coeff.
[diffem_coeff]
type = ConstantFunction
value = 0.05
[]
#Electron mobility coeff.
[muem_coeff]
type = ConstantFunction
value = 0.01
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.01
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + cos(pi/2*x)) / N_A)'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(ee*(2*cos((pi*x)/2) + cos(pi*y)*sin(2*pi*t)))/(5*diffpotential*pi^2)'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee diffem_coeff muem_coeff diffpotential N_A'
vals = 'ee diffem_coeff muem_coeff diffpotential N_A'
value = '(diffem_coeff*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5) +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 + (diffem_coeff*pi^2*cos((pi*x)/2))/4 +
(ee*muem_coeff*(5*cos((pi*x)/2) - 4*cos(2*pi*t)^2*cos(pi*y)^2 +
10*cos(pi*y)*sin(2*pi*t) + 5*cos((pi*x)/2)*sin(pi*y) + 2*cos(2*pi*t)^2 +
10*cos((pi*x)/2)^2 + 4*cos(pi*y)^2 + 11*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) +
20*cos(pi*y)*sin(2*pi*t)*sin(pi*y) - 7))/(50*diffpotential)) / N_A'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + cos(pi/2*x)) / N_A)'
[]
[]
[BCs]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff]
type = ADGenericFunctionMaterial
prop_names = 'diffem muem diffpotential'
prop_values = 'diffem_coeff muem_coeff diffpotential'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem'
prop_values = '-1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/DriftDiffusionAction/RF_Plasma_no_actions.i)
#This is the input file that supplied the gold output file.
#It is the same as the input file in
#tests/Lymberopoulos_rf_discharge/Lymberopoulos_with_argon_metastables.i,
#execpt some of the Aux Variables are renamed for the Action test
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Lymberopoulos.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations (Same as in paper)
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
[]
[AuxVariables]
[e_temp]
order = CONSTANT
family = MONOMIAL
[]
[position]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_density]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_density]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_density]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[EFieldx]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
[]
[Current_Ar+]
order = CONSTANT
family = MONOMIAL
[]
[emRate]
order = CONSTANT
family = MONOMIAL
[]
[exRate]
order = CONSTANT
family = MONOMIAL
[]
[swRate]
order = CONSTANT
family = MONOMIAL
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
[]
[quRate]
order = CONSTANT
family = MONOMIAL
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar*
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = position
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[em_density]
type = DensityMoles
variable = em_density
density_log = em
[]
[Ar+_density]
type = DensityMoles
variable = Ar+_density
density_log = Ar+
[]
[Ar*_density]
type = DensityMoles
variable = Ar*_density
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e22
value = -2.928623
execute_on = INITIAL
[]
[Efield_calc]
type = Efield
component = 0
variable = EFieldx
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
position_units = ${dom0Scale}
[]
[Current_Ar+]
type = ADCurrent
density_log = Ar+
variable = Current_Ar+
art_diff = false
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_left]
type = FunctionDirichletBC
variable = potential
boundary = 'left'
function = potential_bc_func
preset = false
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = 'right'
value = 0
preset = false
[]
#New Boundary conditions for electons, same as in paper
[em_physical_right]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 0.01
#emission_coeffs = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
[em_physical_left]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 0.01
#emission_coeffs = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_right_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'right'
position_units = ${dom0Scale}
[]
[Ar+_physical_left_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'left'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_right_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'right'
value = 100
[]
[Ar*_physical_left_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'left'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_right]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'right'
[]
[mean_en_physical_left]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'left'
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
expression = '0.100*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = '0.100 * (25.4e-3 - x)'
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log(3./2.) + log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = false
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_electron_mobility = 30.0
user_electron_diffusion_coeff = 119.8757763975
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 0.144409938
diffusivity = 6.428571e-3
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-3
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_0]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excitation.txt'
reaction = 'em + Ar -> em + Ar*'
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_ionization.txt'
reaction = 'em + Ar -> em + em + Ar+'
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_deexcitation.txt'
reaction = 'em + Ar* -> em + Ar'
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excited_ionization.txt'
reaction = 'em + Ar* -> em + em + Ar+'
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-42
reaction_rate_value = 398909.324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 3e-7
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
dtmin = 1e-14
l_max_its = 20
scheme = bdf2
dt = 1e-9
[]
[Outputs]
file_base = 'RF_out'
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/reflections/Schottky/Input.i)
dom0Scale = 1
dom0Size = 10E-6 #m
vhigh = -150E-3 #kV
[GlobalParams]
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 5e-14
nl_abs_tol = 1e-13
steady_state_start_time = 1E-6
dtmin = 1e-16
dtmax = 0.1E-7
nl_max_its = 200
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.9
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 40
block = 0
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 40
block = 0
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 30
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = right
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -42
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -45
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -36
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/Conference_Syntax_Tests/Lymberopoulos_with_argon_metastables_2D_At100mTorr.i)
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = V
use_moles = true
[]
[Mesh]
type = FileMesh
file = 'GEC_mesh.msh'
coord_type = RZ
rz_coord_axis = Y
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[potential_ion]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations (Same as in paper)
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
# Energy loss from elastic collisions
[Elastic_loss]
type = EEDFElasticLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar'
[]
#Effective potential for the Ions
[Ion_potential_time_deriv]
type = TimeDerivative
variable = potential_ion
[]
[Ion_potential_reaction]
type = ScaledReaction
variable = potential_ion
collision_freq = 1283370.875
[]
[Ion_potential_coupled_force]
type = CoupledForce
variable = potential_ion
v = potential
coef = 1283370.875
[]
[]
[AuxVariables]
[emDeBug]
[]
[Ar+_DeBug]
[]
[Ar*_DeBug]
[]
[mean_enDeBug]
[]
[potential_DeBug]
[]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[y]
order = CONSTANT
family = MONOMIAL
[]
[y_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efieldx]
order = CONSTANT
family = MONOMIAL
[]
[Efieldy]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[Current_Ar]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[emRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[exRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[swRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[quRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[]
[AuxKernels]
#[emDeBug]
# type = DebugResidualAux
# variable = emDeBug
# debug_variable = em
#[]
#[Ar+_DeBug]
# type = DebugResidualAux
# variable = Ar+_DeBug
# debug_variable = Ar+
#[]
#[mean_enDeBug]
# type = DebugResidualAux
# variable = mean_enDeBug
# debug_variable = mean_en
#[]
#[Ar*_DeBug]
# type = DebugResidualAux
# variable = Ar*_DeBug
# debug_variable = Ar*
#[]
#[Potential_DeBug]
# type = DebugResidualAux
# variable = potential_DeBug
# debug_variable = potential
#[]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar*
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[y_g]
type = Position
variable = y
position_units = ${dom0Scale}
[]
[y_ng]
type = Position
variable = y_node
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e2
value = -5.231208
execute_on = INITIAL
[]
[Efieldx_calc]
type = Efield
component = 0
variable = Efieldx
position_units = ${dom0Scale}
[]
[Efieldy_calc]
type = Efield
component = 1
variable = Efieldy
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
density_log = Ar+
variable = Current_Ar
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_top_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Top_Electrode'
function = potential_top_bc_func
[]
[potential_bottom_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Bottom_Electrode'
function = potential_bottom_bc_func
[]
[potential_dirichlet_bottom_plate]
type = DirichletBC
variable = potential
boundary = 'Walls'
value = 0
[]
[potential_Dielectric]
type = EconomouDielectricBC
variable = potential
boundary = 'Top_Insulator Bottom_Insulator'
electrons = em
ions = Ar+
ion_potentials = potential_ion
electron_energy = mean_en
dielectric_constant = 1.859382e-11
thickness = 0.0127
emission_coeffs = 0.01
position_units = ${dom0Scale}
[]
#New Boundary conditions for electons, same as in paper
[em_physical_diffusion]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[em_Ar+_second_emissions]
type = SakiyamaSecondaryElectronBC
variable = em
ions = Ar+
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_advection]
type = SakiyamaIonAdvectionBC
variable = Ar+
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[mean_en_Ar+_second_emissions]
type = SakiyamaEnergySecondaryElectronBC
variable = mean_en
electrons = em
ions = Ar+
Tse_equal_Te = true
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = meta_density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_top_bc_func]
type = ParsedFunction
expression = '50*sin(2*3.1415926*13.56e6*t)'
[]
[potential_bottom_bc_func]
type = ParsedFunction
expression = '-50*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = 0
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e14)/6.022e23)'
[]
[meta_density_ic_func]
type = ParsedFunction
expression = 'log((1e16)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log((3./2.) * 4) + log((1e14)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = true
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_se_coeff = 0.00
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 1.44409938
diffusivity = 6.428571e-2
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-2
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_00]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_elastic.txt'
reaction = 'em + Ar -> em + Ar'
electrons = em
[]
[reaction_0]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excitation.txt'
reaction = 'em + Ar -> em + Ar*'
mean_energy = mean_en
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_ionization.txt'
reaction = 'em + Ar -> em + em + Ar+'
mean_energy = mean_en
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_deexcitation.txt'
reaction = 'em + Ar* -> em + Ar'
mean_energy = mean_en
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excited_ionization.txt'
reaction = 'em + Ar* -> em + em + Ar+'
mean_energy = mean_en
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-42
reaction_rate_value = 398909.324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 7.4e-3
dtmax = 1e-9
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
nl_rel_tol = 1e-8
#nl_abs_tol = 7.6e-5
dtmin = 1e-14
l_max_its = 20
#Time steps based on the inverse of the plasma frequency
#[TimeSteppers]
# [Postprocessor]
# type = PostprocessorDT
# postprocessor = InversePlasmaFreq
# scale = 0.1
# []
#[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/mms/bcs/2D_ElectronBC_NegivateOutWardFacingEfield.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_ElectronBC_NegivateOutWardFacingEfield_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[Ex]
initial_from_file_var = Ex
[]
[Ey]
initial_from_file_var = Ey
[]
[potential]
initial_from_file_var = potential
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EffectiveEFieldAdvection
variable = ion
u = Ex
v = Ey
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Eff. Efield
[EffEfield_X_time_deriv]
type = TimeDerivative
variable = Ex
[]
[EffEfield_X_diffusion]
type = MatDiffusion
diffusivity = diffEx
variable = Ex
[]
[EffEfield_X_source]
type = BodyForce
variable = Ex
function = 'Ex_source'
[]
[EffEfield_Y_time_deriv]
type = TimeDerivative
variable = Ey
[]
[EffEfield_Y_diffusion]
type = MatDiffusion
diffusivity = diffEy
variable = Ey
[]
[EffEfield_Y_source]
type = BodyForce
variable = Ey
function = 'Ey_source'
[]
#Potential
[Potential_time_deriv]
type = TimeDerivative
variable = potential
[]
[Potential_diffusion]
type = MatDiffusion
diffusivity = diffpotential
variable = potential
[]
[Potential_source]
type = BodyForce
variable = potential
function = 'potential_source'
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[Ex_sol]
[]
[Ey_sol]
[]
[potential_sol]
[]
[]
[AuxKernels]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[Ex_sol]
type = FunctionAux
variable = Ex_sol
function = Ex_fun
[]
[Ey_sol]
type = FunctionAux
variable = Ey_sol
function = Ey_fun
[]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[]
[Functions]
#Material Variables
[massem]
type = ConstantFunction
value = 1.0
[]
#Electron diffusion coeff.
[diffem]
type = ConstantFunction
value = 0.05
[]
[muem]
type = ConstantFunction
value = 0.01
[]
#Electron energy mobility coeff.
[diffmean_en]
type = ConstantFunction
value = 0.05
[]
#Ion diffusion coeff.
[diffion]
type = ParsedFunction
vars = diffem
vals = diffem
value = diffem
[]
[muion]
type = ParsedFunction
vars = muem
vals = muem
value = muem
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.25
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured electron energy solution
[mean_en_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = 'log(((3*massem*pi*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(16*ee*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))) / N_A)'
[]
#The manufactured eff. Efield solution
[Ex_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = 'pi*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = 'pi*cos(pi*y)*(sin(pi*t) + 1)'
[]
#The manufactured potential solution
[potential_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-(sin(pi*t) + 1.0)*(sin(pi*y) + sin(pi*x))'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(diffem*pi^2*sin(pi*x) + (diffem*pi^2*(5*sin(pi*y) +
cos(pi*y)*sin(2*pi*t)))/5 + (2*pi*cos(2*pi*t)*cos(pi*y))/5 +
(muem*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) + 5*sin(pi*y) +
10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 +
cos(pi*y)*sin(2*pi*t)*sin(pi*x) + 2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(diffion*pi^2*sin(pi*x) + (diffion*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 - (muion*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) +
5*sin(pi*y) + 10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 -
10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) +
2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '((3*massem*pi*(4*muem*pi^2*cos(pi*t)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1) + (8*muem*pi^2*cos(2*pi*t)*cos(pi*y)*(sin(pi*t) +
1))/5)*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)))/(8*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) -
diffmean_en*((3*massem*pi^3*sin(pi*x)*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(16*ee*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1)^2) + (3*massem*pi^3*cos(pi*x)^2*(4*pi*diffem +
4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1))^2)/(8*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^3) +
(6*massem*muem^2*pi^5*cos(pi*x)^2*(sin(pi*t) + 1)^2)/(ee*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)) - (3*massem*muem*pi^4*sin(pi*x)*(4*pi*diffem +
4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1))*(sin(pi*t) + 1))/(2*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) -
(3*massem*muem*pi^4*cos(pi*x)^2*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))*(sin(pi*t) + 1))/(ee*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^2)) - diffmean_en*((3*massem*pi*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(8*ee*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1)^3) + (3*massem*pi*(pi^2*sin(pi*y) +
(pi^2*cos(pi*y)*sin(2*pi*t))/5)*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(16*ee*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1)^2) + (6*massem*muem^2*pi^3*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*t) + 1)^2)/(ee*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)) - (3*massem*muem*pi^2*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))*(sin(pi*t) + 1))/(ee*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^2) - (3*massem*muem*pi^2*(pi^2*sin(pi*y) +
(pi^2*cos(pi*y)*sin(2*pi*t))/5)*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))*(sin(pi*t) + 1))/(2*ee*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))) -
(3*massem*pi^2*cos(2*pi*t)*cos(pi*y)*(4*pi*diffem + 4*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(40*ee*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1)^2)) / N_A'
[]
#The Ex source term.
[Ex_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = 'pi^2*cos(pi*t)*cos(pi*x) + diffpotential*pi^3*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = 'pi^2*cos(pi*t)*cos(pi*y) + diffpotential*pi^3*cos(pi*y)*(sin(pi*t) + 1)'
[]
[potential_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi*cos(pi*t)*(sin(pi*x) + sin(pi*y)) -
diffpotential*pi^2*sin(pi*x)*(sin(pi*t) + 1) -
diffpotential*pi^2*sin(pi*y)*(sin(pi*t) + 1)'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = 'log(32.) + em_ICs'
[]
[em_left_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(-diffem*pi*cos(pi*x) - muem*pi*cos(pi*x)*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[em_down_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(-(diffem*pi*(5*cos(pi*y) - sin(2*pi*t)*sin(pi*y)))/5 -
muem*pi*cos(pi*y)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[]
[BCs]
#[em_left_BC]
# type = FunctionDirichletBC
# variable = em
# function = 'em_fun'
# boundary = 3
# preset = true
#[]
#[em_left_BC]
# type = FunctionNeumannBC
# variable = em
# function = 'em_left_Flux_BC'
# boundary = 3
# preset = true
#[]
[em_physical_diffusion_left]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 3
position_units = 1.0
[]
[em_Ar+_second_emissions_left]
type = SakiyamaSecondaryElectronWithEffEfieldBC
variable = em
Ex = Ex
Ey = Ey
ions = ion
emission_coeffs = 'users_gamma'
boundary = 3
position_units = 1.0
[]
[em_right_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = 1
preset = true
[]
#[em_down_BC]
# type = FunctionDirichletBC
# variable = em
# function = 'em_fun'
# boundary = 0
# preset = true
#[]
#[em_down_BC]
# type = FunctionNeumannBC
# variable = em
# function = 'em_down_Flux_BC'
# boundary = 0
# preset = true
#[]
[em_physical_diffusion_down]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 0
position_units = 1.0
[]
[em_Ar+_second_emissions_down]
type = SakiyamaSecondaryElectronWithEffEfieldBC
variable = em
Ex = Ex
Ey = Ey
ions = ion
emission_coeffs = 'users_gamma'
boundary = 0
position_units = 1.0
[]
[em_up_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = 2
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
[energy_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ex_BC]
type = FunctionDirichletBC
variable = Ex
function = 'Ex_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ey_BC]
type = FunctionDirichletBC
variable = Ey
function = 'Ey_fun'
boundary = '0 1 2 3'
preset = true
[]
[potential_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A massem diffpotential diffEx diffEy'
prop_values = 'ee N_A massem diffpotential diffpotential diffpotential '
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffion muion diffem muem diffmean_en'
prop_values = 'diffion muion diffem muem diffmean_en'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[emission_coeffs]
type = ADGenericConstantMaterial
prop_names = 'users_gamma'
prop_values = '1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[Ex_l2Error]
type = ElementL2Error
variable = Ex
function = Ex_fun
[]
[Ey_l2Error]
type = ElementL2Error
variable = Ey
function = Ey_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_Coupling_Electons_Potential_Ions_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[potential]
initial_from_file_var = potential
[]
[ion]
initial_from_file_var = ion
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EFieldAdvection
variable = ion
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Potential Equations
[potential_diffusion]
type = CoeffDiffusionLin
variable = potential
position_units = 1.0
[]
[ion_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = ion
potential_units = V
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
potential_units = V
[]
[]
[AuxVariables]
[potential_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[]
[Functions]
#Material Variables
#Electron diffusion coeff.
[diffem_coeff]
type = ConstantFunction
value = 0.05
[]
#Electron mobility coeff.
[muem_coeff]
type = ConstantFunction
value = 0.01
[]
#Ion diffusion coeff.
[diffion]
type = ConstantFunction
value = 0.1
[]
#Ion mobility coeff.
[muion]
type = ConstantFunction
value = 0.025
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.01
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + cos(pi/2*x)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 1.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(ee*(2*cos((pi*x)/2) + cos(pi*y)*sin(2*pi*t)))/(5*diffpotential*pi^2)'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee diffpotential diffem_coeff muem_coeff N_A'
vals = 'ee diffpotential diffem_coeff muem_coeff N_A'
value = '(diffem_coeff*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5) +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 + (diffem_coeff*pi^2*cos((pi*x)/2))/4 +
(ee*muem_coeff*(5*cos((pi*x)/2) - 4*cos(2*pi*t)^2*cos(pi*y)^2 +
10*cos(pi*y)*sin(2*pi*t) + 5*cos((pi*x)/2)*sin(pi*y) + 2*cos(2*pi*t)^2 +
10*cos((pi*x)/2)^2 + 4*cos(pi*y)^2 + 11*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) +
20*cos(pi*y)*sin(2*pi*t)*sin(pi*y) - 7))/(50*diffpotential)) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee diffpotential diffion muion N_A'
vals = 'ee diffpotential diffion muion N_A'
value = '((diffion*pi^2*(9*cos((pi*x)/2) + 40*sin(pi*y)))/40 +
(9*ee*muion*sin((pi*x)/2)^2)/(100*diffpotential) -
(ee*muion*cos((pi*x)/2)*((9*cos((pi*x)/2))/10 + sin(pi*y) + 1))/(10*diffpotential) -
(ee*muion*cos(pi*y)*sin(2*pi*t)*sin(pi*y))/(5*diffpotential) -
(ee*muion*cos(pi*y)*sin(2*pi*t)*((9*cos((pi*x)/2))/10 +
sin(pi*y) + 1))/(5*diffpotential)) / N_A'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + cos(pi/2*x)) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
[]
[BCs]
[potential_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffpotential diffion muion'
prop_values = 'diffpotential diffion muion'
[]
[ADMaterial_Coeff_Set2]
type = ADGenericFunctionMaterial
prop_names = 'diffem muem'
prop_values = 'diffem_coeff muem_coeff'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion'
prop_values = '-1.0 1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/mms/materials/2D_PlasmaDielectricConstant.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_PlasmaDielectricConstant_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[]
# [ICs]
# [em_IC]
# type = FunctionIC
# function = em_ICs
# variable = em
# []
# []
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
[]
[AuxVariables]
[potential]
[]
[em_sol]
[]
[dielectric_real]
family = MONOMIAL
order = FIRST
[]
[dielectric_image]
family = MONOMIAL
order = FIRST
[]
[dielectric_real_grad]
family = MONOMIAL_VEC
order = FIRST
[]
[dielectric_image_grad]
family = MONOMIAL_VEC
order = FIRST
[]
[d_dielectric_real_dt]
family = MONOMIAL
order = FIRST
[]
[d_dielectric_image_dt]
family = MONOMIAL
order = FIRST
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential
function = potential_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[dielectric_real]
type = ADMaterialRealAux
variable = dielectric_real
property = plasma_dielectric_constant_real
[]
[dielectric_image]
type = ADMaterialRealAux
variable = dielectric_image
property = plasma_dielectric_constant_imag
[]
[dielectric_real_grad]
type = ADVectorMaterialRealVectorValueAux
variable = dielectric_real_grad
property = plasma_dielectric_constant_real_grad
[]
[dielectric_image_grad]
type = ADVectorMaterialRealVectorValueAux
variable = dielectric_image_grad
property = plasma_dielectric_constant_imag_grad
[]
[d_dielectric_real_dt]
type = ADMaterialRealAux
variable = d_dielectric_real_dt
property = plasma_dielectric_constant_real_dot
[]
[d_dielectric_image_dt]
type = ADMaterialRealAux
variable = d_dielectric_image_dt
property = plasma_dielectric_constant_imag_dot
[]
[]
[Functions]
#Material Variables
#Electron diffusion coeff.
[diffem_coeff]
type = ConstantFunction
value = 0.05
[]
#Electron mobility coeff.
[muem_coeff]
type = ConstantFunction
value = 0.01
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.01
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + cos(pi/2*x)) / N_A)'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(ee*(2*cos((pi*x)/2) + cos(pi*y)*sin(2*pi*t)))/(5*diffpotential*pi^2)'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee diffem_coeff muem_coeff diffpotential N_A'
vals = 'ee diffem_coeff muem_coeff diffpotential N_A'
value = '(diffem_coeff*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5) +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 + (diffem_coeff*pi^2*cos((pi*x)/2))/4 +
(ee*muem_coeff*(5*cos((pi*x)/2) - 4*cos(2*pi*t)^2*cos(pi*y)^2 +
10*cos(pi*y)*sin(2*pi*t) + 5*cos((pi*x)/2)*sin(pi*y) + 2*cos(2*pi*t)^2 +
10*cos((pi*x)/2)^2 + 4*cos(pi*y)^2 + 11*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) +
20*cos(pi*y)*sin(2*pi*t)*sin(pi*y) - 7))/(50*diffpotential)) / N_A'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + cos(pi/2*x)) / N_A)'
[]
[omega]
type = ParsedFunction
expression = '2*pi*6.207'
[]
[nu]
type = ParsedFunction
expression = '2*pi*6.525'
[]
[epsilon_0]
type = ParsedFunction
expression = '8.8542e-12'
[]
[ec]
type = ParsedFunction
expression = '1.6022e-19'
[]
[m_e]
type = ParsedFunction
expression = '9.1095e-31'
[]
[dielectric_real_fun]
type = ParsedFunction
expression = '-ec^2*(sin(y*pi) + 0.2*sin(2*pi*t)*cos(y*pi) + cos((1/2)*x*pi) + 1.0)/(epsilon_0*m_e*(nu^2 + omega^2)) + 1'
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
[]
[dielectric_image_fun]
type = ParsedFunction
expression = '-1.0*ec^2*nu*(sin(y*pi) + 0.2*sin(2*pi*t)*cos(y*pi) + cos((1/2)*x*pi) + 1.0)/(epsilon_0*m_e*(nu^2*omega + omega^3))'
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
[]
[dielectric_real_grad_fun]
type = ParsedVectorFunction
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
expression_x = '(1/2)*pi*ec^2*sin((1/2)*x*pi)/(epsilon_0*m_e*(nu^2 + omega^2))'
expression_y = '-ec^2*(-0.2*pi*sin(y*pi)*sin(2*pi*t) + pi*cos(y*pi))/(epsilon_0*m_e*(nu^2 + omega^2))'
[]
[dielectric_image_grad_fun]
type = ParsedVectorFunction
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
expression_x = '0.5*pi*ec^2*nu*sin((1/2)*x*pi)/(epsilon_0*m_e*(nu^2*omega + omega^3))'
expression_y = '-1.0*ec^2*nu*(-0.2*pi*sin(y*pi)*sin(2*pi*t) + pi*cos(y*pi))/(epsilon_0*m_e*(nu^2*omega + omega^3))'
[]
[d_dielectric_real_dt_fun]
type = ParsedFunction
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
expression = '-0.4*pi*ec^2*cos(y*pi)*cos(2*pi*t)/(epsilon_0*m_e*(nu^2 + omega^2))'
[]
[d_dielectric_image_dt_fun]
type = ParsedFunction
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
expression = '-0.4*pi*ec^2*nu*cos(y*pi)*cos(2*pi*t)/(epsilon_0*m_e*(nu^2*omega + omega^3))'
[]
[d2_dielectric_real_dt2_fun]
type = ParsedFunction
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
expression = '0.8*pi^2*ec^2*sin(2*pi*t)*cos(y*pi)/(epsilon_0*m_e*(nu^2 + omega^2))'
[]
[d2_dielectric_image_dt2_fun]
type = ParsedFunction
symbol_names = 'omega m_e ec nu epsilon_0'
symbol_values = 'omega m_e ec nu epsilon_0'
expression = '0.8*pi^2*ec^2*nu*sin(2*pi*t)*cos(y*pi)/(epsilon_0*m_e*(nu^2*omega + omega^3))'
[]
[]
[BCs]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[Plasma_dielectric]
type = PlasmaDielectricConstant
driving_frequency = 6.207
electron_neutral_collision_frequency = 6.525
em = em
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff]
type = ADGenericFunctionMaterial
prop_names = 'diffem muem diffpotential'
prop_values = 'diffem_coeff muem_coeff diffpotential'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem'
prop_values = '-1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[dielectric_real_Error]
type = ElementL2Error
variable = dielectric_real
function = dielectric_real_fun
[]
[dielectric_image_Error]
type = ElementL2Error
variable = dielectric_image
function = dielectric_image_fun
[]
[dielectric_real_grad_Error]
type = ElementVectorL2Error
variable = dielectric_real_grad
function = dielectric_real_grad_fun
[]
[dielectric_image_grad_Error]
type = ElementVectorL2Error
variable = dielectric_image_grad
function = dielectric_image_grad_fun
[]
[d_dielectric_real_dt_Error]
type = ElementL2Error
variable = d_dielectric_real_dt
function = d_dielectric_real_dt_fun
[]
[d_dielectric_image_dt_Error]
type = ElementL2Error
variable = d_dielectric_image_dt
function = d_dielectric_image_dt_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
# start_time = 0
# end_time = 50
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/automatic_differentiation/ad_argon.i)
dom0Scale = 1e-3
[GlobalParams]
offset = 30
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'ad_argon.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
automatic_scaling = true
compute_scaling_once = false
end_time = 1e-1
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = 'basic'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
nl_rel_tol = 1e-6
nl_abs_tol = 1e-10
dtmin = 1e-18
l_max_its = 20
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 30
[]
[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
execute_on = 'final'
[]
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[Arex_time_deriv]
type = TimeDerivativeLog
variable = Ar*
block = 0
[]
[Arex_diffusion]
type = CoeffDiffusion
variable = Ar*
block = 0
position_units = ${dom0Scale}
[]
[Arex_log_stabilization]
type = LogStabilizationMoles
variable = Ar*
block = 0
#offset = 25
[]
[em_time_deriv]
type = TimeDerivativeLog
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
block = 0
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[Ar2p_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar2p
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = TimeDerivativeLog
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
block = 0
[]
[Ar2p_time_deriv]
#type = ElectronTimeDerivative
type = TimeDerivativeLog
variable = Ar2p
block = 0
[]
[Ar2p_advection]
type = EFieldAdvection
variable = Ar2p
position_units = ${dom0Scale}
block = 0
[]
[Ar2p_diffusion]
type = CoeffDiffusion
variable = Ar2p
block = 0
position_units = ${dom0Scale}
[]
[Ar2p_log_stabilization]
type = LogStabilizationMoles
variable = Ar2p
block = 0
[]
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 15
[]
[]
[Variables]
[potential]
[]
[em]
initial_condition = -24
block = 0
[]
[Arp]
initial_condition = -24.69314718056
block = 0
[]
[Ar*]
initial_condition = -26
block = 0
[]
[Ar2p]
initial_condition = -24.69314718056
block = 0
[]
[mean_en]
block = 0
initial_condition = -24
[]
[]
[AuxVariables]
[Arex_lin]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[Ar2p_lin]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[Ar]
block = 0
order = CONSTANT
family = MONOMIAL
initial_condition = 3.70109
[]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Ar2p]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[Arex_lin]
type = DensityMoles
variable = Arex_lin
density_log = Ar*
block = 0
[]
[Ar2p_lin]
type = DensityMoles
variable = Ar2p_lin
density_log = Ar2p
block = 0
[]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin Ar2p_lin'
expression = 'Arp_lin + Ar2p_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp Current_Ar2p'
expression = 'Current_em + Current_Arp + Current_Ar2p'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = DensityMoles
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Ar2p]
type = ADCurrent
density_log = Ar2p
variable = Current_Ar2p
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'right'
electrons = em
r = 0.0
position_units = ${dom0Scale}
[]
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[secondary_energy_left]
type = SecondaryElectronEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
ions = 'Arp Ar2p'
r = 0
emission_coeffs = '0.05 0.05'
position_units = ${dom0Scale}
secondary_electron_energy = 3
[]
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = 'Arp Ar2p'
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = '0.05 0.05'
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
preset = false
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = 'right'
electron_energy = mean_en
r = 0.0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'right'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'right'
r = 0
position_units = ${dom0Scale}
[]
[Ar2p_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Ar2p
boundary = 'right'
r = 0
position_units = ${dom0Scale}
[]
[Ar2p_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Ar2p
boundary = 'right'
r = 0
position_units = ${dom0Scale}
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[sec_electrons_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Ar2p_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Ar2p
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Ar2p_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Ar2p
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
expression = -0.8
[]
[potential_ic_func]
type = ParsedFunction
expression = '-0.8 * (1 - x)'
[]
[]
[Materials]
[electron_moments]
type = ADGasElectronMoments
block = 0
em = em
mean_en = mean_en
property_tables_file = 'argon_chemistry_rates/electron_moments.txt'
[]
[gas_constants]
type = GenericConstantMaterial
block = 0
prop_names = ' e N_A k_boltz eps T_gas massem p_gas n_gas se_coeff se_energy'
prop_values = '1.6e-19 6.022e23 1.38e-23 8.854e-12 300 9.11e-31 1.01e5 40.4915 0.05 3.'
[]
[ad_gas_constants]
type = ADGenericConstantMaterial
block = 0
prop_names = 'diffpotential'
prop_values = '8.85e-12'
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Arp
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar2p
heavy_species_mass = 1.328e-25
heavy_species_charge = 1.0
block = 0
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
block = 0
[]
[gas_species_3]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
block = 0
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[]
[Reactions]
# This argon reaction network based on a ZDPlasKin example:
# zdplaskin.laplace.univ-tlse.fr
# Example: "Micro-cathode sustained discharged in Ar"
[Argon]
species = 'em Arp Ar2p Ar*'
aux_species = 'Ar'
reaction_coefficient_format = 'townsend'
gas_species = 'Ar'
electron_energy = 'mean_en'
electron_density = 'em'
include_electrons = true
file_location = 'argon_chemistry_rates'
equation_constants = 'Tgas'
equation_values = '300'
# For function-based reactions (e.g. those whose rate coefficients are
# enclosed in curly braces, {}), the e_temp auxiliary variable is
# named as a variable. Note that while e_temp is an AuxVariable, it does
# depend on nonlinear variables and therefore should contribute to the
# jacobian of any functions which depend on it.
# At the moment this jacobian contribution is not included, but the
# contribution is minimal compared to advection and diffusion so we
# can get away with a NEWTON solver in this case.
#
# For more complex reaction networks with many functions that depend on
# electron temperature, it may be necessary to use PJFNK instead of
# NEWTON.
equation_variables = 'e_temp'
potential = 'potential'
use_log = true
position_units = ${dom0Scale}
use_ad = true
block = 0
reactions = 'em + Ar -> em + Ar : EEDF [elastic] (reaction1)
em + Ar -> em + Ar* : EEDF [-11.5] (reaction2)
em + Ar -> em + em + Arp : EEDF [-15.76] (reaction3)
em + Ar* -> em + Ar : EEDF [11.5] (reaction4)
em + Ar* -> em + em + Arp : EEDF [-4.3] (reaction5)
Ar2p + em -> Ar* + Ar : {5.1187e11*(e_temp/300)^(-0.67)}
Ar2p + Ar -> Arp + Ar + Ar : {3.649332e12/Tgas*exp(-15130/Tgas)}
Ar* + Ar* -> Ar2p + em : 3.6132e8
Arp + em + em -> Ar + em : {3.17314235e9*(e_temp/11600)^(-4.5)}
Ar* + Ar + Ar -> Ar + Ar + Ar : 5077.02776
Arp + Ar + Ar -> Ar2p + Ar : {81595.089*(Tgas/300)^(-0.4)}'
[]
[]
(test/tests/Conference_Syntax_Tests/Lymberopoulos_with_argon_metastables.i)
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Lymberopoulos.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations (Same as in paper)
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
[]
[AuxVariables]
#[emDeBug]
#[]
#[Ar+_DeBug]
#[]
#[Ar*_DeBug]
#[]
#[mean_enDeBug]
#[]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Ar]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[emRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[exRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[swRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[quRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
#[emDeBug]
# type = DebugResidualAux
# variable = emDeBug
# debug_variable = em
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
#[Ar+_DeBug]
# type = DebugResidualAux
# variable = Ar+_DeBug
# debug_variable = Ar+
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
#[mean_enDeBug]
# type = DebugResidualAux
# variable = mean_enDeBug
# debug_variable = mean_en
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
#[Ar*_DeBug]
# type = DebugResidualAux
# variable = Ar*_DeBug
# debug_variable = Ar*
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar*
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e22
value = -2.928623
execute_on = INITIAL
[]
[Efield_calc]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
density_log = Ar+
variable = Current_Ar
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_left]
type = FunctionDirichletBC
variable = potential
boundary = 'left'
function = potential_bc_func
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = 'right'
value = 0
[]
#New Boundary conditions for electons, same as in paper
[em_physical_right]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 0.01
#emission_coeffs = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
[em_physical_left]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 0.01
#emission_coeffs = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_right_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'right'
position_units = ${dom0Scale}
[]
[Ar+_physical_left_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'left'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_right_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'right'
value = 100
[]
[Ar*_physical_left_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'left'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_right]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'right'
[]
[mean_en_physical_left]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'left'
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
expression = '0.100*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = '0.100 * (25.4e-3 - x)'
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log(3./2.) + log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = false
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_electron_mobility = 30.0
user_electron_diffusion_coeff = 119.8757763975
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 0.144409938
diffusivity = 6.428571e-3
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-3
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_0]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excitation.txt'
reaction = 'em + Ar -> em + Ar*'
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_ionization.txt'
reaction = 'em + Ar -> em + em + Ar+'
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_deexcitation.txt'
reaction = 'em + Ar* -> em + Ar'
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excited_ionization.txt'
reaction = 'em + Ar* -> em + em + Ar+'
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-42
reaction_rate_value = 398909.324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 0.00737463126
#end_time = 3e-7
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
nl_rel_tol = 1e-08
#nl_abs_tol = 7.6e-5 #Commit out do to test falure on Mac
dtmin = 1e-14
l_max_its = 20
#Time steps based on the inverse of the plasma frequency
[TimeSteppers]
[Postprocessor]
type = PostprocessorDT
postprocessor = InversePlasmaFreq
[]
[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/mms/bcs/2D_EnergyBC.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_EnergyBC_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[Ex]
initial_from_file_var = Ex
[]
[Ey]
initial_from_file_var = Ey
[]
[potential]
initial_from_file_var = potential
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EffectiveEFieldAdvection
variable = ion
u = Ex
v = Ey
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Eff. Efield
[EffEfield_X_time_deriv]
type = TimeDerivative
variable = Ex
[]
[EffEfield_X_diffusion]
type = MatDiffusion
diffusivity = diffEx
variable = Ex
[]
[EffEfield_X_source]
type = BodyForce
variable = Ex
function = 'Ex_source'
[]
[EffEfield_Y_time_deriv]
type = TimeDerivative
variable = Ey
[]
[EffEfield_Y_diffusion]
type = MatDiffusion
diffusivity = diffEy
variable = Ey
[]
[EffEfield_Y_source]
type = BodyForce
variable = Ey
function = 'Ey_source'
[]
#Potential
[Potential_time_deriv]
type = TimeDerivative
variable = potential
[]
[Potential_diffusion]
type = MatDiffusion
diffusivity = diffpotential
variable = potential
[]
[Potential_source]
type = BodyForce
variable = potential
function = 'potential_source'
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = 1.0
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[Ex_sol]
[]
[Ey_sol]
[]
[potential_sol]
[]
[]
[AuxKernels]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[Ex_sol]
type = FunctionAux
variable = Ex_sol
function = Ex_fun
[]
[Ey_sol]
type = FunctionAux
variable = Ey_sol
function = Ey_fun
[]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[]
[Functions]
#Material Variables
[massem]
type = ConstantFunction
value = 1.0
[]
#Electron diffusion coeff.
[diffem]
type = ConstantFunction
value = 0.05
[]
[muem]
type = ConstantFunction
value = 0.01
[]
#Electron energy mobility coeff.
[diffmean_en]
type = ConstantFunction
value = 0.05
[]
[mumean_en]
type = ConstantFunction
value = 0.01
[]
#Ion diffusion coeff.
[diffion]
type = ParsedFunction
vars = diffmean_en
vals = diffmean_en
value = diffmean_en
[]
[muion]
type = ParsedFunction
vars = mumean_en
vals = mumean_en
value = mumean_en
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.25
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'log(((16*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(3*massem*pi*((12*diffmean_en*pi)/5 +
(32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured electron energy solution
[mean_en_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured eff. Efield solution
[Ex_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-pi*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-pi*cos(pi*y)*(sin(pi*t) + 1)'
[]
#The manufactured potential solution
[potential_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-(sin(pi*t) + 1.0)*(sin(pi*y) + sin(pi*x))'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '((32*ee*cos(2*pi*t)*cos(pi*y)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(5*massem*((12*diffmean_en*pi)/5 +
(32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) -
diffem*((32*ee*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))/(massem*pi*((12*diffmean_en*pi)/5 +
(32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) -
(16*ee*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(massem*pi*((12*diffmean_en*pi)/5 + (32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - (2048*ee*mumean_en*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(5*massem*((12*diffmean_en*pi)/5 +
(32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) + (1024*ee*mumean_en*(pi^2*sin(pi*y) +
(pi^2*cos(pi*y)*sin(2*pi*t))/5)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(15*massem*((12*diffmean_en*pi)/5 +
(32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) + (32768*ee*mumean_en^2*pi*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*t) + 1)^2*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 +
1)^3)/(25*massem*((12*diffmean_en*pi)/5 + (32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^4)) -
diffem*((32*ee*pi*cos(pi*x)^2*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/(massem*((12*diffmean_en*pi)/5 +
(32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - (16*ee*pi*sin(pi*x)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(massem*((12*diffmean_en*pi)/5 + (32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^2) - (2048*ee*mumean_en*pi^2*cos(pi*x)^2*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)^2)/(5*massem*((12*diffmean_en*pi)/5 + (32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) + (1024*ee*mumean_en*pi^2*sin(pi*x)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(15*massem*((12*diffmean_en*pi)/5 + (32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3) + (32768*ee*mumean_en^2*pi^3*cos(pi*x)^2*(sin(pi*t) + 1)^2*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(25*massem*((12*diffmean_en*pi)/5 + (32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^4)) - (32*ee*((32*mumean_en*pi^2*cos(pi*t)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))/5 + (64*mumean_en*pi^2*cos(2*pi*t)*cos(pi*y)*(sin(pi*t) + 1))/25)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)^3)/(3*massem*pi*((12*diffmean_en*pi)/5 + (32*mumean_en*pi*(sin(t*pi) + 1)*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1))/5)^3)) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(diffion*pi^2*sin(pi*x) + (diffion*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 + (muion*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) + 5*sin(pi*y) +
10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) +
2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(diffmean_en*pi^2*sin(pi*x) + (diffmean_en*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 + (mumean_en*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) + 5*sin(pi*y) +
10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) +
2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
#The Ex source term.
[Ex_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-pi^2*cos(pi*t)*cos(pi*x) - diffpotential*pi^3*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-pi^2*cos(pi*t)*cos(pi*y) - diffpotential*pi^3*cos(pi*y)*(sin(pi*t) + 1)'
[]
[potential_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '-pi*cos(pi*t)*(sin(pi*x) + sin(pi*y)) -
diffpotential*pi^2*sin(pi*x)*(sin(pi*t) + 1) -
diffpotential*pi^2*sin(pi*y)*(sin(pi*t) + 1)'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = '4.0'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = '1.0'
[]
[em_left_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(-diffmean_en*pi*cos(pi*x) - mumean_en*pi*cos(pi*x)*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[em_down_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en mumean_en diffion muion'
value = '(-(diffmean_en*pi*(5*cos(pi*y) - sin(2*pi*t)*sin(pi*y)))/5 -
mumean_en*pi*cos(pi*y)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[]
[BCs]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
#[energy_left_BC]
# type = FunctionDirichletBC
# variable = mean_en
# function = 'mean_en_fun'
# boundary = 3
# preset = true
#[]
[energy_left_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 3
position_units = 1.0
[]
[energy_left_second_emissions]
type = SakiyamaEnergySecondaryElectronWithEffEfieldBC
variable = mean_en
em = em
ions = ion
Ex = Ex
Ey = Ey
Tse_equal_Te = false
user_se_energy = 1.0
emission_coeffs = 'users_gamma'
boundary = 3
position_units = 1.0
[]
[energy_right_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = 1
preset = true
[]
#[energy_down_BC]
# type = FunctionDirichletBC
# variable = mean_en
# function = 'mean_en_fun'
# boundary = 0
# preset = true
#[]
[energy_down_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 0
position_units = 1.0
[]
[energy_down_second_emissions]
type = SakiyamaEnergySecondaryElectronWithEffEfieldBC
variable = mean_en
em = em
ions = ion
Ex = Ex
Ey = Ey
Tse_equal_Te = false
user_se_energy = 1.0
emission_coeffs = 'users_gamma'
boundary = 0
position_units = 1.0
[]
[energy_up_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = 2
preset = true
[]
[Ex_BC]
type = FunctionDirichletBC
variable = Ex
function = 'Ex_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ey_BC]
type = FunctionDirichletBC
variable = Ey
function = 'Ey_fun'
boundary = '0 1 2 3'
preset = true
[]
[potentialt_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A massem diffpotential diffEx diffEy'
prop_values = 'ee N_A massem diffpotential diffpotential diffpotential '
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffion muion diffem muem diffmean_en mumean_en'
prop_values = 'diffion muion diffem muem diffmean_en mumean_en'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[emission_coeffs]
type = ADGenericConstantMaterial
prop_names = 'users_gamma'
prop_values = '1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[Ex_l2Error]
type = ElementL2Error
variable = Ex
function = Ex_fun
[]
[Ey_l2Error]
type = ElementL2Error
variable = Ey
function = Ey_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/mms/bcs/1D_LymberopoulosIonBC.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = 'LymberopoulosIonBC_LeftBC_IC_out.e'
#file = 'LymberopoulosIonBC_RightBC_IC_out.e'
use_for_exodus_restart = true
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = geo
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Outputs]
file_base = 'LymberopoulosIonBC_LeftBC_out'
#file_base = 'LymberopoulosIonBC_RightBC_out'
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[ion]
initial_from_file_var = ion
[]
[potential]
initial_from_file_var = potential
[]
[]
[Kernels]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EFieldAdvection
variable = ion
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Potential Equations
[potential_time_derivative]
type = TimeDerivative
variable = potential
[]
[potential_diff]
type = CoeffDiffusionLin
variable = potential
position_units = 1.0
[]
[potential_source]
type = BodyForce
variable = potential
function = 'potential_source'
[]
[]
[AuxVariables]
[potential_sol]
[]
[ion_sol]
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[]
[Functions]
#Constants for the manufactured solutions
#The lenght between electrode
[l]
type = ConstantFunction
value = 1.0
[]
#The frequency
[f]
type = ConstantFunction
value = 1.0
[]
#Material Variables
#Ion diffusion coeff.
[diffion]
type = ConstantFunction
value = 1.0
[]
#Ion mobility coeff.
[muion]
type = ConstantFunction
value = 0.1
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.01
[]
#Manufactured Solutions
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'l N_A'
vals = 'l N_A'
value = 'log((1.0 + x^2*(1 - x/l)^2/l^2) / N_A)'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'l f ee diffpotential'
vals = 'l f ee diffpotential'
value = '-(ee*l^2*sin((pi*x)/l)*sin(2*pi*f*t))/(5*diffpotential*pi^2)'
[]
#Source Terms in moles
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'l f ee diffpotential diffion muion N_A'
vals = 'l f ee diffpotential diffion muion N_A'
value = '(-2*diffion/l^2 +
12*diffion*x/l^3 -
12*diffion*x^2/l^4 -
0.2*ee*muion*sin(2*pi*f*t)*sin(pi*x/l)/diffpotential +
2*ee*muion*x*sin(2*pi*f*t)*cos(pi*x/l)/(5*pi*diffpotential*l) -
ee*muion*x^2*sin(2*pi*f*t)*sin(pi*x/l)/(5*diffpotential*l^2) -
6*ee*muion*x^2*sin(2*pi*f*t)*cos(pi*x/l)/(5*pi*diffpotential*l^2) +
2*ee*muion*x^3*sin(2*pi*f*t)*sin(pi*x/l)/(5*diffpotential*l^3) +
4*ee*muion*x^3*sin(2*pi*f*t)*cos(pi*x/l)/(5*pi*diffpotential*l^3) -
ee*muion*x^4*sin(2*pi*f*t)*sin(pi*x/l)/(5*diffpotential*l^4)) / N_A'
[]
[potential_source]
type = ParsedFunction
vars = 'l f ee diffpotential'
vals = 'l f ee diffpotential'
value = '-ee*sin(2*pi*f*t)*sin(pi*x/l)/5 - 2*ee*f*l^2*sin(pi*x/l)*cos(2*pi*f*t)/(5*pi*diffpotential)'
[]
#The left Flux BC function
[ion_left_Flux_BC]
type = ParsedFunction
vars = 'l f ee diffpotential muion N_A'
vals = 'l f ee diffpotential muion N_A'
value = '(0.2*ee*l*muion*sin(2*pi*f*t)/(pi*diffpotential)) / N_A'
[]
#The right Flux BC function
[ion_right_Flux_BC]
type = ParsedFunction
vars = 'l f ee diffpotential muion N_A'
vals = 'l f ee diffpotential muion N_A'
value = '-1.0 * (-0.2*ee*l*muion*sin(2*pi*f*t)/(pi*diffpotential)) / N_A'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = '(1.) / N_A'
[]
[]
[BCs]
#active = 'potential_left_BC potential_right_BC
# ion_left_BC ion_right_BC'
#active = 'potential_left_BC potential_right_BC
# ion_left_Flux_BC ion_right_BC'
#active = 'potential_left_BC potential_right_BC
# ion_left_BC ion_right_Flux_BC'
active = 'potential_left_BC potential_right_BC
ion_left_LymberopoulosIonBC ion_right_BC'
#active = 'potential_left_BC potential_right_BC
# ion_left_BC ion_right_LymberopoulosIonBC'
[potential_left_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = 'left'
[]
[potential_right_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = 'right'
[]
[ion_left_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = 'left'
[]
[ion_left_Flux_BC]
type = FunctionNeumannBC
variable = ion
function = 'ion_left_Flux_BC'
boundary = 'left'
[]
[ion_left_LymberopoulosIonBC]
type = LymberopoulosIonBC
variable = ion
boundary = 'left'
position_units = 1.0
[]
[ion_right_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = 'right'
[]
[ion_right_Flux_BC]
type = FunctionNeumannBC
variable = ion
function = 'ion_right_Flux_BC'
boundary = 'right'
[]
[ion_right_LymberopoulosIonBC]
type = LymberopoulosIonBC
variable = ion
boundary = 'right'
position_units = 1.0
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff]
type = ADGenericFunctionMaterial
prop_names = 'diffpotential diffion muion'
prop_values = 'diffpotential diffion muion'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnion'
prop_values = '1.0'
[]
[]
[Postprocessors]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.0075
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-14
[]
(test/tests/field_solver/field_solver_material_electrostatic.i)
# Electrostatic test for FieldSolverMaterial object
# Domain: 2D square, x=[0,1], y=[0,1]
# BCs: potential(0,y) = 2, potential(1,y) = 0
# Expected output values:
# potential = -2*x + 2
# field_output = (2, 0, 0)
[Mesh]
[./generated]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
elem_type = QUAD8
[../]
[]
[Variables]
[./potential]
[../]
[]
[AuxVariables]
[./dummy_efield]
family = NEDELEC_ONE
order = FIRST
[../]
[./field_output]
family = NEDELEC_ONE
order = FIRST
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = potential
[../]
[]
[AuxKernels]
[./field_output_aux]
type = ADVectorMaterialRealVectorValueAux
property = 'field_solver_interface_property'
variable = field_output
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = potential
boundary = left
value = 2
[../]
[./right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[../]
[]
[Materials]
active = field_solver
[./field_solver]
type = FieldSolverMaterial
potential = potential
block = 0
[../]
[./field_solver_error_check]
type = FieldSolverMaterial
block = 0
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[./out]
type = Exodus
show = 'potential field_output'
[../]
[]
(test/tests/DriftDiffusionAction/2D_RF_Plasma_no_actions.i)
#This is the input file that supplied the gold output file.
#It is the same as the input file in
#tests/Lymberopoulos_rf_discharge/Lymberopoulos_with_argon_metastables_2D_At100mTorr_CoarseMesh.i,
#execpt some of the Aux Variables are renamed for the Action test
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = V
use_moles = true
[]
[Mesh]
type = FileMesh
file = 'GEC_mesh_coarse.msh'
coord_type = RZ
rz_coord_axis = Y
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[potential_ion]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
field_property_name = field_solver_interface_property_eff
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations (Same as in paper)
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
# Energy loss from elastic collisions
[Elastic_loss]
type = EEDFElasticLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar'
[]
#Effective potential for the Ions
[Ion_potential_time_deriv]
type = TimeDerivative
variable = potential_ion
[]
[Ion_potential_reaction]
type = ScaledReaction
variable = potential_ion
collision_freq = 1283370.875
[]
[Ion_potential_coupled_force]
type = CoupledForce
variable = potential_ion
v = potential
coef = 1283370.875
[]
[]
[AuxVariables]
[e_temp]
order = CONSTANT
family = MONOMIAL
[]
[x_position]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[y_position]
order = CONSTANT
family = MONOMIAL
[]
[y_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_density]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_density]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_density]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efieldx]
order = CONSTANT
family = MONOMIAL
[]
[Efieldy]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[Current_Ar+]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[emRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[exRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[swRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[quRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[]
[AuxKernels]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar*
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x_position
component = 0
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
component = 0
position_units = ${dom0Scale}
[]
[y_g]
type = Position
variable = y_position
component = 1
position_units = ${dom0Scale}
[]
[y_ng]
type = Position
variable = y_node
component = 1
position_units = ${dom0Scale}
[]
[em_density]
type = DensityMoles
variable = em_density
density_log = em
[]
[Ar+_density]
type = DensityMoles
variable = Ar+_density
density_log = Ar+
[]
[Ar*_density]
type = DensityMoles
variable = Ar*_density
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e2
value = -5.231208
execute_on = INITIAL
[]
[Efieldx_calc]
type = Efield
component = 0
variable = Efieldx
position_units = ${dom0Scale}
[]
[Efieldy_calc]
type = Efield
component = 1
variable = Efieldy
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
field_property_name = field_solver_interface_property_eff
density_log = Ar+
variable = Current_Ar+
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_top_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Top_Electrode'
function = potential_top_bc_func
preset = false
[]
[potential_bottom_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Bottom_Electrode'
function = potential_bottom_bc_func
preset = false
[]
[potential_dirichlet_bottom_plate]
type = DirichletBC
variable = potential
boundary = 'Walls'
value = 0
preset = false
[]
[potential_Dielectric]
type = EconomouDielectricBC
variable = potential
boundary = 'Top_Insulator Bottom_Insulator'
electrons = em
ions = Ar+
ion_potentials = potential_ion
electron_energy = mean_en
dielectric_constant = 1.859382e-11
thickness = 0.0127
emission_coeffs = 0.01
position_units = ${dom0Scale}
[]
#New Boundary conditions for electons, same as in paper
[em_physical_diffusion]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[em_Ar+_second_emissions]
type = SakiyamaSecondaryElectronBC
variable = em
field_property_name = field_solver_interface_property_eff
ions = Ar+
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_advection]
type = SakiyamaIonAdvectionBC
variable = Ar+
field_property_name = field_solver_interface_property_eff
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[mean_en_Ar+_second_emissions]
type = SakiyamaEnergySecondaryElectronBC
variable = mean_en
electrons = em
ions = Ar+
field_property_name = field_solver_interface_property_eff
Tse_equal_Te = true
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = meta_density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_top_bc_func]
type = ParsedFunction
expression = '50*sin(2*3.1415926*13.56e6*t)'
[]
[potential_bottom_bc_func]
type = ParsedFunction
expression = '-50*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = 0
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e14)/6.022e23)'
[]
[meta_density_ic_func]
type = ParsedFunction
expression = 'log((1e16)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log((3./2.) * 4) + log((1e14)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[field_solver_eff]
type = FieldSolverMaterial
potential = potential_ion
property_name = field_solver_interface_property_eff
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = true
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_se_coeff = 0.00
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 1.44409938
diffusivity = 6.428571e-2
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-2
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_00]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_elastic.txt'
reaction = 'em + Ar -> em + Ar'
electrons = em
[]
[reaction_0]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excitation.txt'
reaction = 'em + Ar -> em + Ar*'
mean_energy = mean_en
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_ionization.txt'
reaction = 'em + Ar -> em + em + Ar+'
mean_energy = mean_en
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
reaction = 'em + Ar* -> em + Ar'
property_file = 'Argon_reactions_paper_RateCoefficients/ar_deexcitation.txt'
mean_energy = mean_en
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
reaction = 'em + Ar* -> em + em + Ar+'
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excited_ionization.txt'
mean_energy = mean_en
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-42
reaction_rate_value = 398909.324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
#end_time = 7.4e-3
end_time = 1e-7
dtmax = 1e-9
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
nl_rel_tol = 1e-12
#nl_abs_tol = 7.6e-5
dtmin = 1e-14
l_max_its = 20
#Time steps based on the inverse of the plasma frequency
#[TimeSteppers]
# [Postprocessor]
# type = PostprocessorDT
# postprocessor = InversePlasmaFreq
# scale = 0.1
# []
#[]
[]
[Outputs]
file_base = '2D_RF_out'
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/crane_action/rate_units.i)
# THIS FILE IS BASED ON Lymberopoulos_with_argon_metastables.i
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[geo]
type = FileMeshGenerator
file = 'rate_units.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = geo
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
[]
[AuxVariables]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Ar]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e22
value = -2.928623
execute_on = INITIAL
[]
[Efield_calc]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
density_log = Ar+
variable = Current_Ar
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_left]
type = FunctionDirichletBC
variable = potential
boundary = 'left'
function = potential_bc_func
preset = false
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = 'right'
value = 0
preset = false
[]
#New Boundary conditions for electons, same as in paper
[em_physical_right]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 0.01
#emission_coeffs = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
[em_physical_left]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 0.01
#emission_coeffs = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_right_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'right'
position_units = ${dom0Scale}
[]
[Ar+_physical_left_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'left'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_right_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'right'
value = 100
[]
[Ar*_physical_left_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'left'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_right]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'right'
[]
[mean_en_physical_left]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'left'
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
expression = '0.100*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = '0.100 * (25.4e-3 - x)'
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log(3./2.) + log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = false
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_electron_mobility = 30.0
user_electron_diffusion_coeff = 119.8757763975
property_tables_file = rate_coefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 0.144409938
diffusivity = 6.428571e-3
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-3
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
#end_time = 0.00737463126
end_time = 3e-7
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
nl_rel_tol = 1e-08
#nl_abs_tol = 7.6e-5 #Commit out do to test falure on Mac
dtmin = 1e-14
l_max_its = 20
#Time steps based on the inverse of the plasma frequency
[TimeSteppers]
[Postprocessor]
type = PostprocessorDT
postprocessor = InversePlasmaFreq
[]
[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
execute_on = 'final'
[]
[]
[Reactions]
[Argon]
species = 'Ar* em Ar+'
aux_species = 'Ar'
reaction_coefficient_format = 'rate'
gas_species = 'Ar'
electron_energy = 'mean_en'
electron_density = 'em'
include_electrons = true
file_location = 'rate_coefficients'
potential = 'potential'
use_log = true
position_units = ${dom0Scale}
block = 0
reactions = 'em + Ar -> em + Ar* : EEDF [-11.56] (reaction1)
em + Ar -> em + em + Ar+ : EEDF [-15.7] (reaction2)
em + Ar* -> em + Ar : EEDF [11.56] (reaction3)
em + Ar* -> em + em + Ar+ : EEDF [-4.14] (reaction4)
em + Ar* -> em + Ar_r : 1.2044e11
Ar* + Ar* -> Ar+ + Ar + em : 373364000
Ar* + Ar -> Ar + Ar : 1806.6
Ar* + Ar + Ar -> Ar_2 + Ar : 398909.324'
[]
[]
(test/tests/accelerations/Acceleration_By_Averaging_main.i)
#This test runs the simulation for 10 rf cycle, then accelerates
#once and stops at 11 rf cycles
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Lymberopoulos_paper.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[]
[Kernels]
#Electron Equations
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
mean_energy = mean_en
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
mean_energy = mean_en
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
mean_energy = mean_en
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
mean_energy = mean_en
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Electron Energy Equations
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
[]
[AuxVariables]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Ar]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[emRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[exRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[swRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[quRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e22
value = -2.928623
execute_on = INITIAL
[]
[Efield_calc]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
density_log = Ar+
variable = Current_Ar
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition
[potential_left]
type = FunctionDirichletBC
variable = potential
boundary = 'left'
function = potential_bc_func
preset = false
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = 'right'
value = 0
preset = false
[]
#Boundary conditions for electons
[em_physical_right]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 0.01
#gamma = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
[em_physical_left]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 0.01
#gamma = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
#Boundary conditions for ions
[Ar+_physical_right_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'right'
position_units = ${dom0Scale}
[]
[Ar+_physical_left_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'left'
position_units = ${dom0Scale}
[]
#New Boundary conditions for metastables
[Ar*_physical_right_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'right'
value = 1e-5
[]
[Ar*_physical_left_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'left'
value = 1e-5
[]
#Boundary conditions for electron mean energy
[mean_en_physical_right]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'right'
[]
[mean_en_physical_left]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'left'
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
expression = '0.100*sin(2*pi*13.56e6*t)'
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e14)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log((3./2.) * ((1e14)/6.022e23))'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = false
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_electron_mobility = 30.0
user_electron_diffusion_coeff = 119.8757763975
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 0.144409938
diffusivity = 6.428571e-3
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-3
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_0]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + Ar*.txt'
reaction = 'em + Ar -> em + Ar*'
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + em + Ar+.txt'
reaction = 'em + Ar -> em + em + Ar+'
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + Ar.txt'
reaction = 'em + Ar* -> em + Ar'
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + em + Ar+.txt'
reaction = 'em + Ar* -> em + em + Ar+'
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-43
reaction_rate_value = 39890.9324
[]
[]
[MultiApps]
#MultiApp of Acceleration by Averaging
[Averaging_Acceleration]
type = FullSolveMultiApp
input_files = 'Acceleration_By_Averaging_acceleration.i'
execute_on = 'TIMESTEP_END'
enable = false
[]
[]
[Transfers]
#MultiApp Transfers for Acceleration by Averaging
[em_to_Averaging]
type = MultiAppCopyTransfer
to_multi_app = Averaging_Acceleration
source_variable = em
variable = em
enable = false
[]
[Ar+_to_Averaging]
type = MultiAppCopyTransfer
to_multi_app = Averaging_Acceleration
source_variable = Ar+
variable = Ar+
enable = false
[]
[mean_en_to_Averaging]
type = MultiAppCopyTransfer
to_multi_app = Averaging_Acceleration
source_variable = mean_en
variable = mean_en
enable = false
[]
[potential_to_Averaging]
type = MultiAppCopyTransfer
to_multi_app = Averaging_Acceleration
source_variable = potential
variable = potential
enable = false
[]
[Ar*_to_Averaging]
type = MultiAppCopyTransfer
to_multi_app = Averaging_Acceleration
source_variable = Ar*
variable = Ar*
enable = false
[]
[Ar*S_to_Averaging]
type = MultiAppCopyTransfer
to_multi_app = Averaging_Acceleration
source_variable = Ar*
variable = Ar*S
enable = false
[]
[Ar*New_from_Averaging]
type = MultiAppCopyTransfer
from_multi_app = Averaging_Acceleration
source_variable = Ar*
variable = Ar*
enable = false
[]
[]
#The Action the add the TimePeriod Controls to turn off and on the MultiApps
[PeriodicControllers]
[Averaging_Acceleration]
Enable_at_cycle_start = 'MultiApps::Averaging_Acceleration
Transfers::em_to_Averaging *::Ar+_to_Averaging *::mean_en_to_Averaging
*::potential_to_Averaging *::Ar*_to_Averaging *::Ar*S_to_Averaging
Transfers::Ar*New_from_Averaging'
starting_cycle = 10
cycle_frequency = 13.56e6
cycles_between_controls = 10
num_controller_set = 15
name = Averaging_Acceleration
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 8.2e-7
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
dtmin = 1e-14
l_max_its = 20
scheme = bdf2
dt = 1e-9
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/Schottky_emission/PaschenLaw/Input.i)
dom0Scale = 1
dom0Size = 5E-6 #m
vhigh = -0.10 #kV
[GlobalParams]
# offset = 25
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = 10E-6
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-11
dtmin = 1e-20
# dtmax = 1E-6
nl_max_its = 200
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e0
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 50
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 50
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 50
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
# tau = 5E-6
relax = true
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -33
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -33
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -29
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/Lymberopoulos_rf_discharge/Lymberopoulos_with_argon_metastables.i)
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Lymberopoulos.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations (Same as in paper)
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
[]
[AuxVariables]
#[emDeBug]
#[]
#[Ar+_DeBug]
#[]
#[Ar*_DeBug]
#[]
#[mean_enDeBug]
#[]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Ar]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[emRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[exRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[swRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[quRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
#[emDeBug]
# type = DebugResidualAux
# variable = emDeBug
# debug_variable = em
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
#[Ar+_DeBug]
# type = DebugResidualAux
# variable = Ar+_DeBug
# debug_variable = Ar+
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
#[mean_enDeBug]
# type = DebugResidualAux
# variable = mean_enDeBug
# debug_variable = mean_en
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
#[Ar*_DeBug]
# type = DebugResidualAux
# variable = Ar*_DeBug
# debug_variable = Ar*
# #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
#[]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar*
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e22
value = -2.928623
execute_on = INITIAL
[]
[Efield_calc]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
density_log = Ar+
variable = Current_Ar
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_left]
type = FunctionDirichletBC
variable = potential
boundary = 'left'
function = potential_bc_func
preset = false
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = 'right'
value = 0
preset = false
[]
#New Boundary conditions for electons, same as in paper
[em_physical_right]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 0.01
#gamma = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
[em_physical_left]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 0.01
#gamma = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_right_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'right'
position_units = ${dom0Scale}
[]
[Ar+_physical_left_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'left'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_right_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'right'
value = 100
[]
[Ar*_physical_left_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'left'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_right]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'right'
[]
[mean_en_physical_left]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'left'
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
expression = '0.100*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = '0.100 * (25.4e-3 - x)'
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log(3./2.) + log((1e13 + 1e15 * (1-x/1)^2 * (x/1)^2)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = false
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_electron_mobility = 30.0
user_electron_diffusion_coeff = 119.8757763975
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 0.144409938
diffusivity = 6.428571e-3
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-3
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_0]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excitation.txt'
reaction = 'em + Ar -> em + Ar*'
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_ionization.txt'
reaction = 'em + Ar -> em + em + Ar+'
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_deexcitation.txt'
reaction = 'em + Ar* -> em + Ar'
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excited_ionization.txt'
reaction = 'em + Ar* -> em + em + Ar+'
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-42
reaction_rate_value = 398909.324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
#end_time = 0.00737463126
end_time = 3e-7
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
nl_rel_tol = 1e-08
#nl_abs_tol = 7.6e-5 #Commit out do to test falure on Mac
dtmin = 1e-14
l_max_its = 20
#Time steps based on the inverse of the plasma frequency
[TimeSteppers]
[Postprocessor]
type = PostprocessorDT
postprocessor = InversePlasmaFreq
[]
[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/reflections/low_initial/Input.i)
dom0Scale = 1
dom0Size = 6E-6 #m
vhigh = -175E-3 #kV
[GlobalParams]
# offset = 20
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 5e-14
nl_abs_tol = 1e-13
steady_state_start_time = 1E-6
dtmin = 1e-18
dtmax = 0.1E-7
nl_max_its = 200
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.9
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
# [em_log_stabilization]
# type = LogStabilizationMoles
# variable = em
# block = 0
# []
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
# [Arp_log_stabilization]
# type = LogStabilizationMoles
# variable = Arp
# block = 0
# []
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
# [mean_en_log_stabilization]
# type = LogStabilizationMoles
# variable = mean_en
# block = 0
# offset = 15
# []
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.01
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
emission_coeffs = 0.01
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = right
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -36
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -36
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -36
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.01
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/crane_action/townsend_units.i)
# THIS INPUT FILE IS BASED ON mean_en.i (1d_dc test)
dom0Scale = 1e-3
dom1Scale = 1e-7
[GlobalParams]
offset = 20
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'townsend_units.msh'
[]
[interface]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'master0_interface'
input = file
[]
[interface_again]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'master1_interface'
input = interface
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = interface_again
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 1e-1
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
nl_rel_tol = 1e-4
nl_abs_tol = 7.6e-5
dtmin = 1e-15
l_max_its = 20
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 30
[]
[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
execute_on = 'final'
[]
#[dof_map]
# type = DOFMap
#[]
[]
[Debug]
#show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
block = 0
[]
[emliq_time_deriv]
type = ElectronTimeDerivative
variable = emliq
block = 1
[]
[emliq_advection]
type = EFieldAdvection
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_diffusion]
type = CoeffDiffusion
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_log_stabilization]
type = LogStabilizationMoles
variable = emliq
block = 1
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom2]
type = CoeffDiffusionLin
variable = potential
block = 1
position_units = ${dom1Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[emliq_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = emliq
block = 1
[]
[OHm_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = OHm
block = 1
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
block = 0
[]
[OHm_time_deriv]
type = ElectronTimeDerivative
variable = OHm
block = 1
[]
[OHm_advection]
type = EFieldAdvection
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_diffusion]
type = CoeffDiffusion
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_log_stabilization]
type = LogStabilizationMoles
variable = OHm
block = 1
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 15
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[emliq]
block = 1
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[OHm]
block = 1
[]
[]
[AuxVariables]
[H2O]
order = CONSTANT
family = MONOMIAL
initial_condition = 10.92252
block = 1
[]
[Ar]
block = 0
order = CONSTANT
family = MONOMIAL
initial_condition = 3.70109
[]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[rholiq]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[emliq_lin]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[OHm_lin]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_liq_current]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_flux_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[DiffusiveFlux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
#[ProcRate_el]
# order = CONSTANT
# family = MONOMIAL
# block = 0
#[]
#[ProcRate_ex]
# order = CONSTANT
# family = MONOMIAL
# block = 0
#[]
#[ProcRate_iz]
# order = CONSTANT
# family = MONOMIAL
# block = 0
#[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
#[ProcRate_el]
# type = ProcRate
# em = em
# proc = el
# variable = ProcRate_el
# position_units = ${dom0Scale}
# block = 0
#[]
#[ProcRate_ex]
# type = ProcRate
# em = em
# proc = ex
# variable = ProcRate_ex
# position_units = ${dom0Scale}
# block = 0
#[]
#[ProcRate_iz]
# type = ProcRate
# em = em
# proc = iz
# variable = ProcRate_iz
# position_units = ${dom0Scale}
# block = 0
#[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_l]
type = Position
variable = x
position_units = ${dom1Scale}
block = 1
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[x_nl]
type = Position
variable = x_node
position_units = ${dom1Scale}
block = 1
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[rholiq]
type = ParsedAux
variable = rholiq
coupled_variables = 'emliq_lin OHm_lin' # H3Op_lin OHm_lin'
expression = '-emliq_lin - OHm_lin' # 'H3Op_lin - em_lin - OHm_lin'
execute_on = 'timestep_end'
block = 1
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[tot_liq_current]
type = ParsedAux
variable = tot_liq_current
coupled_variables = 'Current_emliq Current_OHm' # Current_H3Op Current_OHm'
expression = 'Current_emliq + Current_OHm' # + Current_H3Op + Current_OHm'
execute_on = 'timestep_end'
block = 1
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
block = 0
[]
[emliq_lin]
type = DensityMoles
variable = emliq_lin
density_log = emliq
block = 1
[]
[Arp_lin]
type = DensityMoles
variable = Arp_lin
density_log = Arp
block = 0
[]
[OHm_lin]
type = DensityMoles
variable = OHm_lin
density_log = OHm
block = 1
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Efield_l]
type = Efield
component = 0
variable = Efield
position_units = ${dom1Scale}
block = 1
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_emliq]
type = ADCurrent
density_log = emliq
variable = Current_emliq
art_diff = false
block = 1
position_units = ${dom1Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_OHm]
block = 1
type = ADCurrent
density_log = OHm
variable = Current_OHm
art_diff = false
position_units = ${dom1Scale}
[]
[tot_flux_OHm]
block = 1
type = ADTotalFlux
density_log = OHm
variable = tot_flux_OHm
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_emliq]
type = ADEFieldAdvAux
density_log = emliq
variable = EFieldAdvAux_emliq
block = 1
position_units = ${dom1Scale}
[]
[DiffusiveFlux_emliq]
type = ADDiffusiveFlux
density_log = emliq
variable = DiffusiveFlux_emliq
block = 1
position_units = ${dom1Scale}
[]
[]
[InterfaceKernels]
[em_advection]
type = InterfaceAdvection
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[em_diffusion]
type = InterfaceLogDiffusionElectrons
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[]
[BCs]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'master0_interface'
electrons = em
r = 0.99
#r = 0.0
position_units = ${dom0Scale}
[]
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[secondary_energy_left]
type = SecondaryElectronEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
ions = 'Arp'
r = 0
emission_coeffs = 0.05
secondary_electron_energy = 3
position_units = ${dom0Scale}
[]
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = 'master0_interface'
electron_energy = mean_en
r = 0.99
#r = 0.0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[sec_electrons_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[emliq_right]
type = DCIonBC
variable = emliq
boundary = right
position_units = ${dom1Scale}
[]
[OHm_physical]
type = DCIonBC
variable = OHm
boundary = 'right'
position_units = ${dom1Scale}
[]
[]
[ICs]
[em_ic]
type = ConstantIC
variable = em
value = -21
block = 0
[]
[emliq_ic]
type = ConstantIC
variable = emliq
value = -21
block = 1
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -21
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -20
block = 0
[]
[OHm_ic]
type = ConstantIC
variable = OHm
value = -15.6
block = 1
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
# expression = '1.25*tanh(1e6*t)'
expression = -1.25
[]
[potential_ic_func]
type = ParsedFunction
expression = '-1.25 * (1.0001e-3 - x)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[water_block]
type = Water
block = 1
[]
[test]
type = GasElectronMoments
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
user_p_gas = 101325
user_se_coeff = 0.05
em = em
mean_en = mean_en
block = 0
property_tables_file = 'townsend_coefficients/moments.txt'
[]
[test_block1]
type = GenericConstantMaterial
block = 1
prop_names = 'T_gas p_gas'
prop_values = '300 1.01e5'
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Arp
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
block = 0
[]
[]
[Reactions]
[Argon]
species = 'em Arp'
aux_species = 'Ar'
reaction_coefficient_format = 'townsend'
gas_species = 'Ar'
electron_energy = 'mean_en'
electron_density = 'em'
include_electrons = true
file_location = 'townsend_coefficients'
potential = 'potential'
use_log = true
use_ad = true
position_units = ${dom0Scale}
track_rates = false
block = 0
reactions = 'em + Ar -> em + Ar : EEDF [elastic] (reaction1)
em + Ar -> em + Ar* : EEDF [-11.5] (reaction2)
em + Ar -> em + em + Arp : EEDF [-15.76] (reaction3)'
[]
[Water]
species = 'emliq OHm'
reaction_coefficient_format = 'rate'
use_log = true
use_ad = true
aux_species = 'H2O'
block = 1
reactions = 'emliq -> H + OHm : 1064
emliq + emliq -> H2 + OHm + OHm : 3.136e8'
[]
[]
(test/tests/accelerations/Acceleration_By_Averaging_acceleration_sub.i)
dom0Scale = 25.4e-3
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Lymberopoulos_paper.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[]
[Kernels]
#Electron Equations
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
mean_energy = mean_en
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step - wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
mean_energy = mean_en
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
mean_energy = mean_en
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step - wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
mean_energy = mean_en
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step - wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two - body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three - body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Electron Energy Equations
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step - wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
[]
[AuxVariables]
[Ar]
[]
[]
[AuxKernels]
[Ar_val]
type = ConstantAux
variable = Ar
#value = 3.22e22
value = -2.928623
execute_on = INITIAL
[]
[]
[BCs]
#Voltage Boundary Condition
[potential_left]
type = FunctionDirichletBC
variable = potential
boundary = 'left'
function = potential_bc_func
preset = false
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = 'right'
value = 0
preset = false
[]
#Boundary conditions for electons
[em_physical_right]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 0.01
#gamma = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
[em_physical_left]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 0.01
#gamma = 1
ks = 1.19e5
#ks = 0.0
ions = Ar+
position_units = ${dom0Scale}
[]
#Boundary conditions for ions
[Ar+_physical_right_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'right'
position_units = ${dom0Scale}
[]
[Ar+_physical_left_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'left'
position_units = ${dom0Scale}
[]
#Boundary conditions for ions Metastable
[Ar*_physical_right_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'right'
value = 1e-5
[]
[Ar*_physical_left_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'left'
value = 1e-5
[]
#Boundary conditions for electron mean energy
[mean_en_physical_right]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'right'
[]
[mean_en_physical_left]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'left'
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
expression = '0.100*sin(2*pi*13.56e6*t)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = false
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_electron_mobility = 30.0
user_electron_diffusion_coeff = 119.8757763975
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 0.144409938
diffusivity = 6.428571e-3
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-3
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_0]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + Ar*.txt'
reaction = 'em + Ar -> em + Ar*'
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + em + Ar+.txt'
reaction = 'em + Ar -> em + em + Ar+'
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + Ar.txt'
reaction = 'em + Ar* -> em + Ar'
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + em + Ar+.txt'
reaction = 'em + Ar* -> em + em + Ar+'
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-43
reaction_rate_value = 39890.9324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 73.74631268e-9
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
dtmin = 1e-14
l_max_its = 20
scheme = bdf2
dt = 1e-9
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions_MeanEnergy.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_Coupling_Electons_Potential_Ions_MeanEnergy_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[potential]
initial_from_file_var = potential
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EFieldAdvection
variable = ion
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Potential Equations
[potential_diffusion]
type = CoeffDiffusionLin
variable = potential
position_units = 1.0
[]
[ion_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = ion
potential_units = V
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
potential_units = V
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = 1.0
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = 1.0
potential_units = V
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[potential_sol]
[]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[]
[Functions]
#Material Variables
#Electron diffusion coeff.
[diffem_coeff]
type = ConstantFunction
value = 0.05
[]
#Electron mobility coeff.
[muem_coeff]
type = ConstantFunction
value = 0.01
[]
#Electron energy diffusion coeff.
[diffmean_en_coeff]
type = ParsedFunction
vars = 'diffem_coeff'
vals = 'diffem_coeff'
value = '5.0 / 3.0 * diffem_coeff'
[]
#Electron energy mobility coeff.
[mumean_en_coeff]
type = ParsedFunction
vars = 'muem_coeff'
vals = 'muem_coeff'
value = '5.0 / 3.0 * muem_coeff'
[]
#Ion diffusion coeff.
[diffion]
type = ConstantFunction
value = 0.1
[]
#Ion mobility coeff.
[muion]
type = ConstantFunction
value = 0.025
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.01
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + cos(pi/2*x)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 1.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(ee*(2*cos((pi*x)/2) + cos(pi*y)*sin(2*pi*t)))/(5*diffpotential*pi^2)'
[]
#The manufactured electron energy solution
[energy_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'sin(pi*y) + sin(2*pi*t)*cos(pi*y)*sin(pi*y) + 0.75 + cos(pi/2*x)'
[]
[mean_en_fun]
type = ParsedFunction
vars = 'energy_fun em_fun'
vals = 'energy_fun em_fun'
value = 'log(energy_fun) + em_fun'
[]
#Electron diffusion coeff.
[diffem]
type = ParsedFunction
vars = 'diffem_coeff energy_fun'
vals = 'diffem_coeff energy_fun'
value = 'diffem_coeff * energy_fun'
[]
#Electron mobility coeff.
[muem]
type = ParsedFunction
vars = 'muem_coeff energy_fun'
vals = 'muem_coeff energy_fun'
value = 'muem_coeff * energy_fun'
[]
#Electron energy diffusion coeff.
[diffmean_en]
type = ParsedFunction
vars = 'diffmean_en_coeff energy_fun'
vals = 'diffmean_en_coeff energy_fun'
value = 'diffmean_en_coeff * energy_fun'
[]
#Electron energy mobility coeff.
[mumean_en]
type = ParsedFunction
vars = 'mumean_en_coeff energy_fun'
vals = 'mumean_en_coeff energy_fun'
value = 'mumean_en_coeff * energy_fun'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee diffpotential diffem_coeff muem_coeff N_A'
vals = 'ee diffpotential diffem_coeff muem_coeff N_A'
value = '((2*pi*cos(2*pi*t)*cos(pi*y))/5 - (diffem_coeff*pi^2*sin((pi*x)/2)^2)/4 -
diffem_coeff*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos(pi*y) -
sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t)) +
(diffem_coeff*pi^2*cos((pi*x)/2)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/4 + (diffem_coeff*pi^2*(5*sin(pi*y) +
cos(pi*y)*sin(2*pi*t))*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/5 -
(ee*muem_coeff*sin((pi*x)/2)^2*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(10*diffpotential) - (ee*muem_coeff*sin((pi*x)/2)^2*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/(10*diffpotential) + (ee*muem_coeff*cos((pi*x)/2)*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(10*diffpotential) +
(ee*muem_coeff*cos(pi*y)*sin(2*pi*t)*(cos((pi*x)/2) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential) +
(ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(cos(pi*y) - sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t))*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/(5*diffpotential) + (ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential*pi)) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee diffpotential diffion muion N_A'
vals = 'ee diffpotential diffion muion N_A'
value = '((diffion*pi^2*(9*cos((pi*x)/2) + 40*sin(pi*y)))/40 +
(9*ee*muion*sin((pi*x)/2)^2)/(100*diffpotential) -
(ee*muion*cos((pi*x)/2)*((9*cos((pi*x)/2))/10 + sin(pi*y) + 1))/(10*diffpotential) -
(ee*muion*cos(pi*y)*sin(2*pi*t)*sin(pi*y))/(5*diffpotential) -
(ee*muion*cos(pi*y)*sin(2*pi*t)*((9*cos((pi*x)/2))/10 + sin(pi*y) + 1))/(5*diffpotential)) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee diffpotential diffem_coeff muem_coeff N_A'
vals = 'ee diffpotential diffem_coeff muem_coeff N_A'
value = '(((4*cos((pi*x)/2) + 4*sin(pi*y) +
4*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3)*(172*ee*muem_coeff*cos(2*pi*t)^2 - 282*ee*muem_coeff +
180*ee*muem_coeff*cos((pi*x)/2)^2 + 160*ee*muem_coeff*cos((pi*x)/2)^3 +
664*ee*muem_coeff*cos(pi*y)^2 - 480*ee*muem_coeff*cos(pi*y)^4 - 66*ee*muem_coeff*cos((pi*x)/2) -
296*ee*muem_coeff*sin(pi*y) + 200*diffem_coeff*diffpotential*pi^2 -
664*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^2 + 480*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^4 +
364*ee*muem_coeff*cos(pi*y)*sin(2*pi*t) - 90*ee*muem_coeff*cos((pi*x)/2)*sin(pi*y) +
75*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2) + 140*diffem_coeff*diffpotential*pi^2*sin(pi*y) +
16*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2) - 8*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^2 +
176*ee*muem_coeff*cos(2*pi*t)^2*sin(pi*y) - 320*ee*muem_coeff*cos(pi*y)^3*sin(2*pi*t) +
200*ee*muem_coeff*cos((pi*x)/2)^2*sin(pi*y) + 464*ee*muem_coeff*cos(pi*y)^2*sin(pi*y) +
300*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)^2 - 1200*diffem_coeff*diffpotential*pi^2*cos(pi*y)^2 +
160*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*sin(pi*y) +
104*ee*muem_coeff*cos((pi*x)/2)^2*cos(pi*y)*sin(2*pi*t) -
40*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^3*sin(2*pi*t) + 408*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^2*sin(pi*y) +
96*ee*muem_coeff*cos(pi*y)^3*sin(2*pi*t)*sin(pi*y) + 160*diffem_coeff*diffpotential*pi^2*cos(2*pi*t)^2*sin(pi*y) -
2000*diffem_coeff*diffpotential*pi^2*cos(pi*y)^3*sin(2*pi*t) +
400*diffem_coeff*diffpotential*pi^2*cos(pi*y)^2*sin(pi*y) - 32*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*cos(pi*y)^2 -
464*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^2*sin(pi*y) + 186*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) +
272*ee*muem_coeff*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 1260*diffem_coeff*diffpotential*pi^2*cos(pi*y)*sin(2*pi*t) +
500*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*sin(pi*y) - 408*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*cos(pi*y)^2*sin(pi*y) -
96*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^3*sin(2*pi*t)*sin(pi*y) -
400*diffem_coeff*diffpotential*pi^2*cos(2*pi*t)^2*cos(pi*y)^2*sin(pi*y) +
448*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
80*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) +
240*diffem_coeff*diffpotential*pi^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
48*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
80*ee*muem_coeff*cos((pi*x)/2)^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
100*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t)*sin(pi*y)))/(960*diffpotential) +
(pi*cos(2*pi*t)*cos(pi*y)*(4*cos((pi*x)/2) + 24*sin(pi*y) + 20*cos((pi*x)/2)*sin(pi*y) + 20*sin(pi*y)^2 +
8*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3))/10 - (5*diffem_coeff*pi^2*sin((pi*x)/2)^2*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/12 - (diffem_coeff*pi^2*sin((pi*x)/2)^2*((5*cos((pi*x)/2))/3 +
(5*sin(pi*y))/3 + (cos(pi*y)*sin(2*pi*t))/3 + 5/3))/4 - diffem_coeff*pi^2*(cos(pi*y) - sin(2*pi*t) +
2*cos(pi*y)^2*sin(2*pi*t))^2*((5*cos((pi*x)/2))/3 + (5*sin(pi*y))/3 + (cos(pi*y)*sin(2*pi*t))/3 + 5/3) +
(diffem_coeff*pi^2*cos((pi*x)/2)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4)*((5*cos((pi*x)/2))/3 +
(5*sin(pi*y))/3 + (cos(pi*y)*sin(2*pi*t))/3 + 5/3))/4 - (diffem_coeff*pi^2*(5*cos(pi*y) -
sin(2*pi*t)*sin(pi*y))*(cos(pi*y) - sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t))*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/3 + (ee*sin(2*pi*t)*sin(pi*y)*(diffem_coeff*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4) -
(ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(cos((pi*x)/2) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential*pi)))/(5*diffpotential*pi) +
diffem_coeff*pi^2*sin(pi*y)*(4*cos(pi*y)*sin(2*pi*t) + 1)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4)*((5*cos((pi*x)/2))/3 + (5*sin(pi*y))/3 +
(cos(pi*y)*sin(2*pi*t))/3 + 5/3) - (ee*sin((pi*x)/2)^2*(4*cos((pi*x)/2) + 4*sin(pi*y) +
4*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3)*(10*ee*muem_coeff + 10*ee*muem_coeff*cos((pi*x)/2) +
10*ee*muem_coeff*sin(pi*y) + 25*diffem_coeff*diffpotential*pi^2 +
2*ee*muem_coeff*cos(pi*y)*sin(2*pi*t)))/(1000*diffpotential^2*pi^2)) / N_A'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + cos(pi/2*x)) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = 'log(32. + cos(pi/2*x)) + em_ICs'
[]
[]
[BCs]
[potential_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
[energy_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffpotential diffion muion'
prop_values = 'diffpotential diffion muion'
[]
[Material_Coeff_Set2]
type = ADMMSEEDFRates
electrons = em
mean_energy = mean_en
prop_names = 'diffem muem diffmean_en mumean_en'
prop_values = 'diffem muem diffmean_en mumean_en'
d_prop_d_actual_mean_en = 'diffem_coeff muem_coeff diffmean_en_coeff mumean_en_coeff'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/reflections/high_initial/Input.i)
dom0Scale = 1
dom0Size = 6E-6 #m
vhigh = -175E-3 #kV
[GlobalParams]
# offset = 20
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 5e-14
nl_abs_tol = 1e-13
steady_state_start_time = 1E-6
dtmin = 1e-18
dtmax = 0.1E-7
nl_max_its = 200
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.9
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
# [em_log_stabilization]
# type = LogStabilizationMoles
# variable = em
# block = 0
# []
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
# [Arp_log_stabilization]
# type = LogStabilizationMoles
# variable = Arp
# block = 0
# []
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
# [mean_en_log_stabilization]
# type = LogStabilizationMoles
# variable = mean_en
# block = 0
# offset = 15
# []
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.01
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
emission_coeffs = 0.01
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = right
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -30
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -30
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -30
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.01
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/mms/continuity_equations/2D_Coupling_Electons_Potential_Ions_MeanEnergy_Einstein_Relation.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_Coupling_Electons_Potential_Ions_MeanEnergy_Einstein_Relation_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[potential]
initial_from_file_var = potential
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EFieldAdvection
variable = ion
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Potential Equations
[potential_diffusion]
type = CoeffDiffusionLin
variable = potential
position_units = 1.0
[]
[ion_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = ion
potential_units = V
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
potential_units = V
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = 1.0
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_diffusion_correction]
type = ThermalConductivityDiffusion
variable = mean_en
em = em
position_units = 1.0
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = 1.0
potential_units = V
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[potential_sol]
[]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[]
[Functions]
#Material Variables
#Electron diffusion coeff.
[diffem_coeff]
type = ConstantFunction
value = 0.05
[]
#Electron mobility coeff.
[muem_coeff]
type = ConstantFunction
value = 0.01
[]
#Electron energy diffusion coeff.
[diffmean_en_coeff]
type = ParsedFunction
vars = 'diffem_coeff'
vals = 'diffem_coeff'
value = '5.0 / 3.0 * diffem_coeff'
[]
#Electron energy mobility coeff.
[mumean_en_coeff]
type = ParsedFunction
vars = 'muem_coeff'
vals = 'muem_coeff'
value = '5.0 / 3.0 * muem_coeff'
[]
#Ion diffusion coeff.
[diffion]
type = ConstantFunction
value = 0.1
[]
#Ion mobility coeff.
[muion]
type = ConstantFunction
value = 0.025
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.01
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + cos(pi/2*x)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 1.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'ee diffpotential'
vals = 'ee diffpotential'
value = '-(ee*(2*cos((pi*x)/2) + cos(pi*y)*sin(2*pi*t)))/(5*diffpotential*pi^2)'
[]
#The manufactured electron energy solution
[energy_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'sin(pi*y) + sin(2*pi*t)*cos(pi*y)*sin(pi*y) + 0.75 + cos(pi/2*x)'
[]
[mean_en_fun]
type = ParsedFunction
vars = 'energy_fun em_fun'
vals = 'energy_fun em_fun'
value = 'log(energy_fun) + em_fun'
[]
#Electron diffusion coeff.
[diffem]
type = ParsedFunction
vars = 'diffem_coeff energy_fun'
vals = 'diffem_coeff energy_fun'
value = 'diffem_coeff * energy_fun'
[]
#Electron mobility coeff.
[muem]
type = ParsedFunction
vars = 'muem_coeff energy_fun'
vals = 'muem_coeff energy_fun'
value = 'muem_coeff * energy_fun'
[]
#Electron energy diffusion coeff.
[diffmean_en]
type = ParsedFunction
vars = 'diffmean_en_coeff energy_fun'
vals = 'diffmean_en_coeff energy_fun'
value = 'diffmean_en_coeff * energy_fun'
[]
#Electron energy mobility coeff.
[mumean_en]
type = ParsedFunction
vars = 'mumean_en_coeff energy_fun'
vals = 'mumean_en_coeff energy_fun'
value = 'mumean_en_coeff * energy_fun'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee diffpotential diffem_coeff muem_coeff N_A'
vals = 'ee diffpotential diffem_coeff muem_coeff N_A'
value = '((2*pi*cos(2*pi*t)*cos(pi*y))/5 - (diffem_coeff*pi^2*sin((pi*x)/2)^2)/4 -
diffem_coeff*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos(pi*y) -
sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t)) +
(diffem_coeff*pi^2*cos((pi*x)/2)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/4 + (diffem_coeff*pi^2*(5*sin(pi*y) +
cos(pi*y)*sin(2*pi*t))*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/5 -
(ee*muem_coeff*sin((pi*x)/2)^2*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(10*diffpotential) - (ee*muem_coeff*sin((pi*x)/2)^2*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/(10*diffpotential) + (ee*muem_coeff*cos((pi*x)/2)*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(10*diffpotential) +
(ee*muem_coeff*cos(pi*y)*sin(2*pi*t)*(cos((pi*x)/2) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential) +
(ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(cos(pi*y) - sin(2*pi*t) + 2*cos(pi*y)^2*sin(2*pi*t))*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/(5*diffpotential) + (ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential*pi)) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee diffpotential diffion muion N_A'
vals = 'ee diffpotential diffion muion N_A'
value = '((diffion*pi^2*(9*cos((pi*x)/2) + 40*sin(pi*y)))/40 +
(9*ee*muion*sin((pi*x)/2)^2)/(100*diffpotential) -
(ee*muion*cos((pi*x)/2)*((9*cos((pi*x)/2))/10 + sin(pi*y) + 1))/(10*diffpotential) -
(ee*muion*cos(pi*y)*sin(2*pi*t)*sin(pi*y))/(5*diffpotential) -
(ee*muion*cos(pi*y)*sin(2*pi*t)*((9*cos((pi*x)/2))/10 + sin(pi*y) + 1))/(5*diffpotential)) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee diffpotential diffem_coeff muem_coeff N_A'
vals = 'ee diffpotential diffem_coeff muem_coeff N_A'
value = '(((4*cos((pi*x)/2) + 4*sin(pi*y) + 4*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3)*(172*ee*muem_coeff*cos(2*pi*t)^2 -
282*ee*muem_coeff + 180*ee*muem_coeff*cos((pi*x)/2)^2 + 160*ee*muem_coeff*cos((pi*x)/2)^3 +
664*ee*muem_coeff*cos(pi*y)^2 - 480*ee*muem_coeff*cos(pi*y)^4 - 66*ee*muem_coeff*cos((pi*x)/2) -
296*ee*muem_coeff*sin(pi*y) + 200*diffem_coeff*diffpotential*pi^2 -
664*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^2 + 480*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^4 +
364*ee*muem_coeff*cos(pi*y)*sin(2*pi*t) - 90*ee*muem_coeff*cos((pi*x)/2)*sin(pi*y) +
75*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2) + 140*diffem_coeff*diffpotential*pi^2*sin(pi*y) +
16*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2) - 8*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^2 +
176*ee*muem_coeff*cos(2*pi*t)^2*sin(pi*y) - 320*ee*muem_coeff*cos(pi*y)^3*sin(2*pi*t) +
200*ee*muem_coeff*cos((pi*x)/2)^2*sin(pi*y) + 464*ee*muem_coeff*cos(pi*y)^2*sin(pi*y) +
300*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)^2 - 1200*diffem_coeff*diffpotential*pi^2*cos(pi*y)^2 +
160*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*sin(pi*y) +
104*ee*muem_coeff*cos((pi*x)/2)^2*cos(pi*y)*sin(2*pi*t) -
40*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^3*sin(2*pi*t) +
408*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)^2*sin(pi*y) + 96*ee*muem_coeff*cos(pi*y)^3*sin(2*pi*t)*sin(pi*y) +
160*diffem_coeff*diffpotential*pi^2*cos(2*pi*t)^2*sin(pi*y) -
2000*diffem_coeff*diffpotential*pi^2*cos(pi*y)^3*sin(2*pi*t) +
400*diffem_coeff*diffpotential*pi^2*cos(pi*y)^2*sin(pi*y) -
32*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*cos(pi*y)^2 -
464*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^2*sin(pi*y) +
186*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) + 272*ee*muem_coeff*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
1260*diffem_coeff*diffpotential*pi^2*cos(pi*y)*sin(2*pi*t) +
500*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*sin(pi*y) -
408*ee*muem_coeff*cos(2*pi*t)^2*cos((pi*x)/2)*cos(pi*y)^2*sin(pi*y) -
96*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)^3*sin(2*pi*t)*sin(pi*y) -
400*diffem_coeff*diffpotential*pi^2*cos(2*pi*t)^2*cos(pi*y)^2*sin(pi*y) +
448*ee*muem_coeff*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
80*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t) +
240*diffem_coeff*diffpotential*pi^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
48*ee*muem_coeff*cos(2*pi*t)^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
80*ee*muem_coeff*cos((pi*x)/2)^2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) +
100*diffem_coeff*diffpotential*pi^2*cos((pi*x)/2)*cos(pi*y)*sin(2*pi*t)*sin(pi*y)))/(960*diffpotential) +
(pi*cos(2*pi*t)*cos(pi*y)*(4*cos((pi*x)/2) + 24*sin(pi*y) + 20*cos((pi*x)/2)*sin(pi*y) + 20*sin(pi*y)^2 +
8*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3))/10 - (diffem_coeff*pi^2*sin((pi*x)/2)^2*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/4 - (diffem_coeff*pi^2*sin((pi*x)/2)^2*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))/4 - diffem_coeff*pi^2*(cos(pi*y) - sin(2*pi*t) +
2*cos(pi*y)^2*sin(2*pi*t))^2*(cos((pi*x)/2) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1) +
(diffem_coeff*pi^2*cos((pi*x)/2)*(cos((pi*x)/2) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/4 -
diffem_coeff*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos(pi*y) - sin(2*pi*t) +
2*cos(pi*y)^2*sin(2*pi*t))*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4) +
(ee*sin(2*pi*t)*sin(pi*y)*(diffem_coeff*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)*(cos((pi*x)/2) +
sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4) - (ee*muem_coeff*sin(2*pi*t)*sin(pi*y)*(cos((pi*x)/2) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) +
cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4))/(5*diffpotential*pi)))/(5*diffpotential*pi) +
diffem_coeff*pi^2*sin(pi*y)*(4*cos(pi*y)*sin(2*pi*t) + 1)*(cos((pi*x)/2) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)*(cos((pi*x)/2) + sin(pi*y) + cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3/4) -
(ee*sin((pi*x)/2)^2*(4*cos((pi*x)/2) + 4*sin(pi*y) +
4*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 3)*(10*ee*muem_coeff + 10*ee*muem_coeff*cos((pi*x)/2) +
10*ee*muem_coeff*sin(pi*y) + 25*diffem_coeff*diffpotential*pi^2 +
2*ee*muem_coeff*cos(pi*y)*sin(2*pi*t)))/(1000*diffpotential^2*pi^2)) / N_A'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + cos(pi/2*x)) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + 0.9*cos(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = 'log(32. + cos(pi/2*x)) + em_ICs'
[]
[]
[BCs]
[potential_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[em_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = '0 1 2 3'
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
[energy_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffpotential diffion muion'
prop_values = 'diffpotential diffion muion'
[]
[Material_Coeff_Set2]
type = ADMMSEEDFRates
electrons = em
mean_energy = mean_en
prop_names = 'diffem muem diffmean_en mumean_en'
prop_values = 'diffem muem diffmean_en mumean_en'
d_prop_d_actual_mean_en = 'diffem_coeff muem_coeff diffmean_en_coeff mumean_en_coeff'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/1d_dc/mean_en.i)
dom0Scale = 1e-3
dom1Scale = 1e-7
[GlobalParams]
offset = 20
# offset = 0
potential_units = kV
use_moles = true
# potential_units = V
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'liquidNew.msh'
[]
[interface]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'master0_interface'
input = file
[]
[interface_again]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'master1_interface'
input = interface
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = interface_again
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
ksp_norm = none
[]
[]
[Executioner]
type = Transient
end_time = 1e-1
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
#petsc_options = '-snes_converged_reason -snes_linesearch_monitor -snes_test_jacobian'
# petsc_options = '-snes_test_display'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
# petsc_options_iname = '-pc_type -sub_pc_type'
# petsc_options_value = 'asm lu'
# petsc_options_iname = '-snes_type'
# petsc_options_value = 'test'
nl_rel_tol = 1e-4
nl_abs_tol = 7.6e-5
dtmin = 1e-12
l_max_its = 20
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
# dt = 1.1
growth_factor = 1.2
optimal_iterations = 15
[]
[]
[]
[Outputs]
perf_graph = true
# print_linear_residuals = false
[out]
type = Exodus
execute_on = 'final'
[]
[dof_map]
type = DOFMap
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
variable = em
mean_en = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
block = 0
[]
[emliq_time_deriv]
type = ElectronTimeDerivative
variable = emliq
block = 1
[]
[emliq_advection]
type = EFieldAdvection
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_diffusion]
type = CoeffDiffusion
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_reactant_first_order_rxn]
type = ReactantFirstOrderRxn
variable = emliq
block = 1
[]
[emliq_water_bi_sink]
type = ReactantAARxn
variable = emliq
block = 1
[]
[emliq_log_stabilization]
type = LogStabilizationMoles
variable = emliq
block = 1
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom2]
type = CoeffDiffusionLin
variable = potential
block = 1
position_units = ${dom1Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[emliq_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = emliq
block = 1
[]
[OHm_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = OHm
block = 1
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
block = 0
[]
[OHm_time_deriv]
type = ElectronTimeDerivative
variable = OHm
block = 1
[]
[OHm_advection]
type = EFieldAdvection
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_diffusion]
type = CoeffDiffusion
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_log_stabilization]
type = LogStabilizationMoles
variable = OHm
block = 1
[]
[OHm_product_first_order_rxn]
type = ProductFirstOrderRxn
variable = OHm
v = emliq
block = 1
[]
[OHm_product_aabb_rxn]
type = ProductAABBRxn
variable = OHm
v = emliq
block = 1
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 15
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[emliq]
block = 1
# scaling = 1e-5
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
# scaling = 1e-1
[]
[OHm]
block = 1
# scaling = 1e-5
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[rholiq]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[emliq_lin]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[OHm_lin]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_liq_current]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_flux_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[DiffusiveFlux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_l]
type = Position
variable = x
position_units = ${dom1Scale}
block = 1
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[x_nl]
type = Position
variable = x_node
position_units = ${dom1Scale}
block = 1
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[rholiq]
type = ParsedAux
variable = rholiq
coupled_variables = 'emliq_lin OHm_lin' # H3Op_lin OHm_lin'
expression = '-emliq_lin - OHm_lin' # 'H3Op_lin - em_lin - OHm_lin'
execute_on = 'timestep_end'
block = 1
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[tot_liq_current]
type = ParsedAux
variable = tot_liq_current
coupled_variables = 'Current_emliq Current_OHm' # Current_H3Op Current_OHm'
expression = 'Current_emliq + Current_OHm' # + Current_H3Op + Current_OHm'
execute_on = 'timestep_end'
block = 1
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
block = 0
[]
[emliq_lin]
type = DensityMoles
variable = emliq_lin
density_log = emliq
block = 1
[]
[Arp_lin]
type = DensityMoles
variable = Arp_lin
density_log = Arp
block = 0
[]
[OHm_lin]
type = DensityMoles
variable = OHm_lin
density_log = OHm
block = 1
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Efield_l]
type = Efield
component = 0
variable = Efield
position_units = ${dom1Scale}
block = 1
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_emliq]
type = ADCurrent
density_log = emliq
variable = Current_emliq
art_diff = false
block = 1
position_units = ${dom1Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_OHm]
block = 1
type = ADCurrent
density_log = OHm
variable = Current_OHm
art_diff = false
position_units = ${dom1Scale}
[]
[tot_flux_OHm]
block = 1
type = ADTotalFlux
density_log = OHm
variable = tot_flux_OHm
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_emliq]
type = ADEFieldAdvAux
density_log = emliq
variable = EFieldAdvAux_emliq
block = 1
position_units = ${dom1Scale}
[]
[DiffusiveFlux_emliq]
type = ADDiffusiveFlux
density_log = emliq
variable = DiffusiveFlux_emliq
block = 1
position_units = ${dom1Scale}
[]
[]
[InterfaceKernels]
[em_advection]
type = InterfaceAdvection
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[em_diffusion]
type = InterfaceLogDiffusionElectrons
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[]
[BCs]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'master0_interface'
electrons = em
r = 0.99
position_units = ${dom0Scale}
[]
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[secondary_energy_left]
type = SecondaryElectronEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
ions = 'Arp'
r = 0
emission_coeffs = 0.05
secondary_electron_energy = 3
position_units = ${dom0Scale}
[]
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
preset = false
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = 'master0_interface'
electron_energy = mean_en
r = 0.99
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[sec_electrons_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[emliq_right]
type = DCIonBC
variable = emliq
boundary = right
position_units = ${dom1Scale}
[]
[OHm_physical]
type = DCIonBC
variable = OHm
boundary = 'right'
position_units = ${dom1Scale}
[]
[]
[ICs]
[em_ic]
type = ConstantIC
variable = em
value = -21
block = 0
[]
[emliq_ic]
type = ConstantIC
variable = emliq
value = -21
block = 1
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -21
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -20
block = 0
[]
[OHm_ic]
type = ConstantIC
variable = OHm
value = -15.6
block = 1
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
# expression = '1.25*tanh(1e6*t)'
expression = -1.25
[]
[potential_ic_func]
type = ParsedFunction
expression = '-1.25 * (1.0001e-3 - x)'
[]
[]
[Materials]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.05
block = 0
property_tables_file = td_argon_mean_en.txt
[]
[water_block]
type = Water
block = 1
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
block = '0 1'
[]
[]
(test/tests/1d_dc/NonlocalPotentialBCWithSchottky.i)
dom0Scale = 1
dom0Size = 2E-6 #m
vhigh = 230E-3 #kV
relaxTime = 1e-9 #s
resistance = 1
area = 5.02e-7 # Formerly 3.14e-6
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = '${fparse 3 * relaxTime}'
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_abs_tol = 2e-6
dtmin = 1e-15
# dtmax = 1E-6
nl_max_its = 50
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 20
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[current_density_user_object]
type = CurrentDensityShapeSideUserObject
boundary = left
potential = potential
em = em
ip = Arp
mean_en = mean_en
execute_on = 'linear nonlinear'
[]
[data_provider]
type = ProvideMobility
electrode_area = ${area}
ballast_resist = ${resistance}
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 20
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 20
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 35
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = DensityMoles
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = DensityMoles
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
# [potential_left]
# type = NeumannCircuitVoltageMoles_KV
# variable = potential
# boundary = left
# function = potential_bc_func
# ions = Arp
# data_provider = data_provider
# electrons = em
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[potential_left]
boundary = left
type = PenaltyCircuitPotential
variable = potential
current = current_density_user_object
surface_potential = -${vhigh}
surface = 'cathode'
penalty = 1000
data_provider = data_provider
electrons = em
ions = Arp
electron_energy = mean_en
area = ${area}
potential_units = 'kV'
position_units = ${dom0Scale}
resistance = ${resistance}
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
tau = ${relaxTime}
relax = true
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# mean_en = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -30
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -30
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -25
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[]
(test/tests/DriftDiffusionAction/mean_en_no_actions.i)
#This is the input file that supplied the gold output file.
#It is the same as the input file in tests/1d_dc/mean_en.i,
#execpt some of the Aux Variables are renamed for the Action test
dom0Scale = 1e-3
dom1Scale = 1e-7
[GlobalParams]
offset = 20
# offset = 0
potential_units = kV
use_moles = true
# potential_units = V
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'liquidNew.msh'
[]
[interface]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'master0_interface'
input = file
[]
[interface_again]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'master1_interface'
input = interface
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = interface_again
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
ksp_norm = none
[]
[]
[Executioner]
type = Transient
end_time = 1e-1
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
# petsc_options = '-snes_test_display'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
# petsc_options_iname = '-pc_type -sub_pc_type'
# petsc_options_value = 'asm lu'
# petsc_options_iname = '-snes_type'
# petsc_options_value = 'test'
nl_rel_tol = 1e-4
nl_abs_tol = 7.6e-5
dtmin = 1e-12
l_max_its = 20
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
# dt = 1.1
growth_factor = 1.2
optimal_iterations = 15
[]
[]
[]
[Outputs]
file_base = out
perf_graph = true
[out]
type = Exodus
execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
# electrode_area = 1.1
# ballast_resist = 1.1
# e = 1.1
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
variable = em
mean_en = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
block = 0
[]
# [em_advection_stabilization]
# type = EFieldArtDiff
# variable = em
# block = 0
# []
[emliq_time_deriv]
type = ElectronTimeDerivative
variable = emliq
block = 1
[]
[emliq_advection]
type = EFieldAdvection
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_diffusion]
type = CoeffDiffusion
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_reactant_first_order_rxn]
type = ReactantFirstOrderRxn
variable = emliq
block = 1
[]
[emliq_water_bi_sink]
type = ReactantAARxn
variable = emliq
block = 1
[]
[emliq_log_stabilization]
type = LogStabilizationMoles
variable = emliq
block = 1
[]
# [emliq_advection_stabilization]
# type = EFieldArtDiff
# variable = emliq
# block = 1
# []
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom2]
type = CoeffDiffusionLin
variable = potential
block = 1
position_units = ${dom1Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[emliq_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = emliq
block = 1
[]
[OHm_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = OHm
block = 1
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
block = 0
[]
# [Arp_advection_stabilization]
# type = EFieldArtDiff
# variable = Arp
# block = 0
# []
[OHm_time_deriv]
type = ElectronTimeDerivative
variable = OHm
block = 1
[]
[OHm_advection]
type = EFieldAdvection
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_diffusion]
type = CoeffDiffusion
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_log_stabilization]
type = LogStabilizationMoles
variable = OHm
block = 1
[]
# [OHm_advection_stabilization]
# type = EFieldArtDiff
# variable = OHm
# block = 1
# []
[OHm_product_first_order_rxn]
type = ProductFirstOrderRxn
variable = OHm
v = emliq
block = 1
[]
[OHm_product_aabb_rxn]
type = ProductAABBRxn
variable = OHm
v = emliq
block = 1
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 15.0
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[emliq]
block = 1
# scaling = 1e-5
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
# scaling = 1e-1
[]
[OHm]
block = 1
# scaling = 1e-5
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
#[x]
# order = CONSTANT
# family = MONOMIAL
#[]
[position0]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[position1]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[rholiq]
block = 1
order = CONSTANT
family = MONOMIAL
[]
#[em_lin]
# order = CONSTANT
# family = MONOMIAL
# block = 0
#[]
[em_density]
order = CONSTANT
family = MONOMIAL
block = 0
[]
#[emliq_lin]
# order = CONSTANT
# family = MONOMIAL
# block = 1
#[]
[emliq_density]
order = CONSTANT
family = MONOMIAL
block = 1
[]
#[Arp_lin]
# order = CONSTANT
# family = MONOMIAL
# block = 0
#[]
[Arp_density]
order = CONSTANT
family = MONOMIAL
block = 0
[]
#[OHm_lin]
# block = 1
# order = CONSTANT
# family = MONOMIAL
#[]
[OHm_density]
block = 1
order = CONSTANT
family = MONOMIAL
[]
#[Efield]
# order = CONSTANT
# family = MONOMIAL
#[]
[EFieldx0]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldx1]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_liq_current]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_flux_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[DiffusiveFlux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = position0
position_units = ${dom0Scale}
block = 0
[]
[x_l]
type = Position
variable = position1
position_units = ${dom1Scale}
block = 1
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[x_nl]
type = Position
variable = x_node
position_units = ${dom1Scale}
block = 1
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_density Arp_density'
expression = 'Arp_density - em_density'
execute_on = 'timestep_end'
block = 0
[]
[rholiq]
type = ParsedAux
variable = rholiq
coupled_variables = 'emliq_density OHm_density'
expression = '-emliq_density - OHm_density'
execute_on = 'timestep_end'
block = 1
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[tot_liq_current]
type = ParsedAux
variable = tot_liq_current
coupled_variables = 'Current_emliq Current_OHm' # Current_H3Op Current_OHm'
expression = 'Current_emliq + Current_OHm' # + Current_H3Op + Current_OHm'
execute_on = 'timestep_end'
block = 1
[]
[em_lin]
type = DensityMoles
variable = em_density
density_log = em
block = 0
[]
[emliq_lin]
type = DensityMoles
variable = emliq_density
density_log = emliq
block = 1
[]
[Arp_lin]
type = DensityMoles
variable = Arp_density
density_log = Arp
block = 0
[]
[OHm_lin]
type = DensityMoles
variable = OHm_density
density_log = OHm
block = 1
[]
[Efield_g]
type = Efield
component = 0
variable = EFieldx0
position_units = ${dom0Scale}
block = 0
[]
[Efield_l]
type = Efield
component = 0
variable = EFieldx1
position_units = ${dom1Scale}
block = 1
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_emliq]
type = ADCurrent
density_log = emliq
variable = Current_emliq
art_diff = false
block = 1
position_units = ${dom1Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_OHm]
block = 1
type = ADCurrent
density_log = OHm
variable = Current_OHm
art_diff = false
position_units = ${dom1Scale}
[]
[tot_flux_OHm]
block = 1
type = ADTotalFlux
density_log = OHm
variable = tot_flux_OHm
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_emliq]
type = ADEFieldAdvAux
density_log = emliq
variable = EFieldAdvAux_emliq
block = 1
position_units = ${dom1Scale}
[]
[DiffusiveFlux_emliq]
type = ADDiffusiveFlux
density_log = emliq
variable = DiffusiveFlux_emliq
block = 1
position_units = ${dom1Scale}
[]
[]
[InterfaceKernels]
[em_advection]
type = InterfaceAdvection
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[em_diffusion]
type = InterfaceLogDiffusionElectrons
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[]
[BCs]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'master0_interface'
electrons = em
r = 0.99
position_units = ${dom0Scale}
[]
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[secondary_energy_left]
type = SecondaryElectronEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
ions = 'Arp'
r = 0
emission_coeffs = 0.05
secondary_electron_energy = 3
position_units = ${dom0Scale}
[]
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = 'master0_interface'
electron_energy = mean_en
r = 0.99
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[sec_electrons_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[emliq_right]
type = DCIonBC
variable = emliq
boundary = right
position_units = ${dom1Scale}
[]
[OHm_physical]
type = DCIonBC
variable = OHm
boundary = 'right'
position_units = ${dom1Scale}
[]
[]
[ICs]
[em_ic]
type = ConstantIC
variable = em
value = -21
block = 0
[]
[emliq_ic]
type = ConstantIC
variable = emliq
value = -21
block = 1
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -21
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -20
block = 0
[]
[OHm_ic]
type = ConstantIC
variable = OHm
value = -15.6
block = 1
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
# expression = '1.25*tanh(1e6*t)'
expression = -1.25
[]
[potential_ic_func]
type = ParsedFunction
expression = '-1.25 * (1.0001e-3 - x)'
[]
[]
[Materials]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.05
block = 0
property_tables_file = td_argon_mean_en.txt
[]
[gas_field_solver]
type = FieldSolverMaterial
potential = potential
block = 0
[]
[water_block]
type = Water
block = 1
[]
[water_field_solver]
type = FieldSolverMaterial
potential = potential
block = 1
[]
[]
(test/tests/1d_dc/densities_mean_en.i)
dom0Scale = 1e-3
dom1Scale = 1e-7
# dom0Scale=1.1
# dom1Scale=1.1
[GlobalParams]
offset = 20
# offset = 0
potential_units = kV
use_moles = true
# potential_units = V
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'liquidNew.msh'
[]
[interface]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'master0_interface'
input = file
[]
[interface_again]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'master1_interface'
input = interface
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = interface_again
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
ksp_norm = none
[]
[]
[Executioner]
type = Transient
num_steps = 1
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 1e-4
nl_abs_tol = 7.6e-5
dtmin = 1e-12
l_max_its = 20
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 15
[]
[]
[]
[Outputs]
perf_graph = true
# print_linear_residuals = false
[out]
type = Exodus
execute_on = 'final'
[]
[dof_map]
type = DOFMap
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
# electrode_area = 1.1
# ballast_resist = 1.1
# e = 1.1
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
variable = em
mean_en = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
block = 0
[]
[emliq_time_deriv]
type = ElectronTimeDerivative
variable = emliq
block = 1
[]
[emliq_advection]
type = EFieldAdvection
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_diffusion]
type = CoeffDiffusion
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_reactant_first_order_rxn]
type = ReactantFirstOrderRxn
variable = emliq
block = 1
[]
[emliq_water_bi_sink]
type = ReactantAARxn
variable = emliq
block = 1
[]
[emliq_log_stabilization]
type = LogStabilizationMoles
variable = emliq
block = 1
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom2]
type = CoeffDiffusionLin
variable = potential
block = 1
position_units = ${dom1Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[emliq_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = emliq
block = 1
[]
[OHm_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = OHm
block = 1
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
block = 0
[]
[OHm_time_deriv]
type = ElectronTimeDerivative
variable = OHm
block = 1
[]
[OHm_advection]
type = EFieldAdvection
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_diffusion]
type = CoeffDiffusion
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_log_stabilization]
type = LogStabilizationMoles
variable = OHm
block = 1
[]
[OHm_product_first_order_rxn]
type = ProductFirstOrderRxn
variable = OHm
v = emliq
block = 1
[]
[OHm_product_aabb_rxn]
type = ProductAABBRxn
variable = OHm
v = emliq
block = 1
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 15
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[emliq]
block = 1
# scaling = 1e-5
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
# scaling = 1e-1
[]
[OHm]
block = 1
# scaling = 1e-5
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[rholiq]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[emliq_lin]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[OHm_lin]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_liq_current]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_flux_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[DiffusiveFlux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_l]
type = Position
variable = x
position_units = ${dom1Scale}
block = 1
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[x_nl]
type = Position
variable = x_node
position_units = ${dom1Scale}
block = 1
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[rholiq]
type = ParsedAux
variable = rholiq
coupled_variables = 'emliq_lin OHm_lin' # H3Op_lin OHm_lin'
expression = '-emliq_lin - OHm_lin' # 'H3Op_lin - em_lin - OHm_lin'
execute_on = 'timestep_end'
block = 1
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[tot_liq_current]
type = ParsedAux
variable = tot_liq_current
coupled_variables = 'Current_emliq Current_OHm' # Current_H3Op Current_OHm'
expression = 'Current_emliq + Current_OHm' # + Current_H3Op + Current_OHm'
execute_on = 'timestep_end'
block = 1
[]
[em_lin]
type = Density
variable = em_lin
density_log = em
block = 0
[]
[emliq_lin]
type = Density
variable = emliq_lin
density_log = emliq
block = 1
[]
[Arp_lin]
type = Density
variable = Arp_lin
density_log = Arp
block = 0
[]
[OHm_lin]
type = Density
variable = OHm_lin
density_log = OHm
block = 1
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Efield_l]
type = Efield
component = 0
variable = Efield
position_units = ${dom1Scale}
block = 1
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_emliq]
type = ADCurrent
density_log = emliq
variable = Current_emliq
art_diff = false
block = 1
position_units = ${dom1Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_OHm]
block = 1
type = ADCurrent
density_log = OHm
variable = Current_OHm
art_diff = false
position_units = ${dom1Scale}
[]
[tot_flux_OHm]
block = 1
type = ADTotalFlux
density_log = OHm
variable = tot_flux_OHm
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_emliq]
type = ADEFieldAdvAux
density_log = emliq
variable = EFieldAdvAux_emliq
block = 1
position_units = ${dom1Scale}
[]
[DiffusiveFlux_emliq]
type = ADDiffusiveFlux
density_log = emliq
variable = DiffusiveFlux_emliq
block = 1
position_units = ${dom1Scale}
[]
[]
[InterfaceKernels]
[em_advection]
type = InterfaceAdvection
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[em_diffusion]
type = InterfaceLogDiffusionElectrons
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[]
[BCs]
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = 'master0_interface'
electron_energy = mean_en
r = 0.99
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'master0_interface'
electrons = em
r = 0.99
position_units = ${dom0Scale}
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[sec_electrons_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[emliq_right]
type = DCIonBC
variable = emliq
boundary = right
position_units = ${dom1Scale}
[]
[OHm_physical]
type = DCIonBC
variable = OHm
boundary = 'right'
position_units = ${dom1Scale}
[]
[]
[ICs]
[em_ic]
type = ConstantIC
variable = em
value = -21
block = 0
[]
[emliq_ic]
type = ConstantIC
variable = emliq
value = -21
block = 1
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -21
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -20
block = 0
[]
[OHm_ic]
type = ConstantIC
variable = OHm
value = -15.6
block = 1
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
# [em_ic]
# type = RandomIC
# variable = em
# block = 0
# min = -21.5
# max = -20.5
# []
# [emliq_ic]
# type = RandomIC
# variable = emliq
# block = 1
# min = -21.5
# max = -20.5
# []
# [Arp_ic]
# type = RandomIC
# variable = Arp
# block = 0
# min = -21.5
# max = -20.5
# []
# [mean_en_ic]
# type = RandomIC
# variable = mean_en
# block = 0
# min = -20.5
# max = -19.5
# []
# type = RandomIC
# variable = OHm
# block = 1
# min = -16.1
# max = -15.1
# []
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
# expression = '1.25*tanh(1e6*t)'
expression = 1.25
[]
[potential_ic_func]
type = ParsedFunction
expression = '-1.25 * (1.0001e-3 - x)'
[]
[]
[Materials]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = .05
block = 0
property_tables_file = td_argon_mean_en.txt
[]
[water_block]
type = Water
block = 1
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
block = '0 1'
[]
[]
(test/tests/Conference_Syntax_Tests/Lymberopoulos_with_argon_metastables_2D_At1Torr.i)
dom0Scale = 25.4e-3
#dom0Scale=1.0
[GlobalParams]
potential_units = V
use_moles = true
[]
[Mesh]
type = FileMesh
file = 'GEC_mesh.msh'
coord_type = RZ
rz_coord_axis = Y
[]
[Variables]
[em]
[]
[Ar+]
[]
[Ar*]
[]
[mean_en]
[]
[potential]
[]
[potential_ion]
[]
[]
[Kernels]
#Electron Equations (Same as in paper)
#Time Derivative term of electron
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = EEDFReactionLog
variable = em
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations (Same as in paper)
#Time Derivative term of the ions
[Ar+_time_deriv]
type = ElectronTimeDerivative
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = EEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations (Same as in paper)
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = ElectronTimeDerivative
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar
mean_energy = mean_en
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = EEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
mean_energy = mean_en
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations (Same as in paper)
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Since the paper uses electron temperature as a variable, the energy equation is in
#a different form but should be the same physics
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = EEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
# Energy loss from elastic collisions
[Elastic_loss]
type = EEDFElasticLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar'
[]
#Effective potential for the Ions
[Ion_potential_time_deriv]
type = TimeDerivative
variable = potential_ion
[]
[Ion_potential_reaction]
type = ScaledReaction
variable = potential_ion
collision_freq = 1283370.875
[]
[Ion_potential_coupled_force]
type = CoupledForce
variable = potential_ion
v = potential
coef = 1283370.875
[]
[]
[AuxVariables]
[emDeBug]
[]
[Ar+_DeBug]
[]
[Ar*_DeBug]
[]
[mean_enDeBug]
[]
[potential_DeBug]
[]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[y]
order = CONSTANT
family = MONOMIAL
[]
[y_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar]
[]
[Efieldx]
order = CONSTANT
family = MONOMIAL
[]
[Efieldy]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[Current_Ar]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[emRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[exRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[swRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[deexRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[quRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[poolRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[TwoBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[ThreeBRate]
order = CONSTANT
family = MONOMIAL
block = 'plasma'
[]
[]
[AuxKernels]
#[emDeBug]
# type = DebugResidualAux
# variable = emDeBug
# debug_variable = em
#[]
#[Ar+_DeBug]
# type = DebugResidualAux
# variable = Ar+_DeBug
# debug_variable = Ar+
#[]
#[mean_enDeBug]
# type = DebugResidualAux
# variable = mean_enDeBug
# debug_variable = mean_en
#[]
#[Ar*_DeBug]
# type = DebugResidualAux
# variable = Ar*_DeBug
# debug_variable = Ar*
#[]
#[Potential_DeBug]
# type = DebugResidualAux
# variable = potential_DeBug
# debug_variable = potential
#[]
[emRate]
type = ProcRateForRateCoeff
variable = emRate
v = em
w = Ar
reaction = 'em + Ar -> em + em + Ar+'
[]
[exRate]
type = ProcRateForRateCoeff
variable = exRate
v = em
w = Ar*
reaction = 'em + Ar -> em + Ar*'
[]
[swRate]
type = ProcRateForRateCoeff
variable = swRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
[]
[deexRate]
type = ProcRateForRateCoeff
variable = deexRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar'
[]
[quRate]
type = ProcRateForRateCoeff
variable = quRate
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
[]
[poolRate]
type = ProcRateForRateCoeff
variable = poolRate
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
[]
[TwoBRate]
type = ProcRateForRateCoeff
variable = TwoBRate
v = Ar*
w = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
[]
[ThreeBRate]
type = ProcRateForRateCoeffThreeBody
variable = ThreeBRate
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
[]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[y_g]
type = Position
variable = y
position_units = ${dom0Scale}
[]
[y_ng]
type = Position
variable = y_node
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[Ar_val]
type = ConstantAux
variable = Ar
# value = 3.22e22
value = -2.928623
execute_on = INITIAL
[]
[Efieldx_calc]
type = Efield
component = 0
variable = Efieldx
position_units = ${dom0Scale}
[]
[Efieldy_calc]
type = Efield
component = 1
variable = Efieldy
position_units = ${dom0Scale}
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[Current_Ar]
type = ADCurrent
density_log = Ar+
variable = Current_Ar
art_diff = false
block = 'plasma'
position_units = ${dom0Scale}
[]
[]
[BCs]
#Voltage Boundary Condition, same as in paper
[potential_top_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Top_Electrode'
function = potential_top_bc_func
[]
[potential_bottom_plate]
type = FunctionDirichletBC
variable = potential
boundary = 'Bottom_Electrode'
function = potential_bottom_bc_func
[]
[potential_dirichlet_bottom_plate]
type = DirichletBC
variable = potential
boundary = 'Walls'
value = 0
[]
[potential_Dielectric]
type = EconomouDielectricBC
variable = potential
boundary = 'Top_Insulator Bottom_Insulator'
electrons = em
ions = Ar+
ion_potentials = potential_ion
electron_energy = mean_en
dielectric_constant = 1.859382e-11
thickness = 0.0127
emission_coeffs = 0.01
position_units = ${dom0Scale}
[]
#New Boundary conditions for electons, same as in paper
[em_physical_diffusion]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[em_Ar+_second_emissions]
type = SakiyamaSecondaryElectronBC
variable = em
ions = Ar+
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
[Ar+_physical_advection]
type = SakiyamaIonAdvectionBC
variable = Ar+
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
#New Boundary conditions for ions, should be the same as in paper
#(except the metastables are not set to zero, since Zapdos uses log form)
[Ar*_physical_diffusion]
type = LogDensityDirichletBC
variable = Ar*
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
value = 100
[]
#New Boundary conditions for mean energy, should be the same as in paper
[mean_en_physical_diffusion]
type = SakiyamaEnergyDiffusionBC
variable = mean_en
electrons = em
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[mean_en_Ar+_second_emissions]
type = SakiyamaEnergySecondaryElectronBC
variable = mean_en
electrons = em
ions = Ar+
Tse_equal_Te = true
emission_coeffs = 0.01
boundary = 'Top_Electrode Bottom_Electrode Top_Insulator Bottom_Insulator Walls'
position_units = ${dom0Scale}
[]
[]
[ICs]
[em_ic]
type = FunctionIC
variable = em
function = density_ic_func
[]
[Ar+_ic]
type = FunctionIC
variable = Ar+
function = density_ic_func
[]
[Ar*_ic]
type = FunctionIC
variable = Ar*
function = meta_density_ic_func
[]
[mean_en_ic]
type = FunctionIC
variable = mean_en
function = energy_density_ic_func
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[]
[Functions]
[potential_top_bc_func]
type = ParsedFunction
expression = '30*sin(2*3.1415926*13.56e6*t)'
[]
[potential_bottom_bc_func]
type = ParsedFunction
expression = '-30*sin(2*3.1415926*13.56e6*t)'
[]
[potential_ic_func]
type = ParsedFunction
expression = 0
[]
[density_ic_func]
type = ParsedFunction
expression = 'log((1e14)/6.022e23)'
[]
[meta_density_ic_func]
type = ParsedFunction
expression = 'log((1e16)/6.022e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
expression = 'log((3./2.)) + log((1e14)/6.022e23)'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
type = GasElectronMoments
interp_trans_coeffs = true
interp_elastic_coeff = false
ramp_trans_coeffs = false
user_p_gas = 133.322
em = em
mean_en = mean_en
user_se_coeff = 0.00
property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 1.44409938
diffusivity = 6.428571e-2
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-2
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[reaction_00]
type = ZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_paper_RateCoefficients/ar_elastic.txt'
reaction = 'em + Ar -> em + Ar'
electrons = em
[]
[reaction_0]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excitation.txt'
reaction = 'em + Ar -> em + Ar*'
mean_energy = mean_en
electrons = em
[]
[reaction_1]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_ionization.txt'
reaction = 'em + Ar -> em + em + Ar+'
mean_energy = mean_en
electrons = em
[]
[reaction_2]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_deexcitation.txt'
reaction = 'em + Ar* -> em + Ar'
mean_energy = mean_en
electrons = em
[]
[reaction_3]
type = ZapdosEEDFRateConstant
property_file = 'Argon_reactions_paper_RateCoefficients/ar_excited_ionization.txt'
reaction = 'em + Ar* -> em + em + Ar+'
mean_energy = mean_en
electrons = em
[]
[reaction_4]
type = GenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = GenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = GenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = GenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-42
reaction_rate_value = 398909.324
[]
[]
#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
[InversePlasmaFreq]
type = PlasmaFrequencyInverse
variable = em
use_moles = true
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 7.4e-3
automatic_scaling = true
dtmax = 1e-9
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
nl_rel_tol = 1e-8
#nl_abs_tol = 7.6e-5
dtmin = 1e-14
l_max_its = 20
#Time steps based on the inverse of the plasma frequency
#[TimeSteppers]
# [Postprocessor]
# type = PostprocessorDT
# postprocessor = InversePlasmaFreq
# scale = 0.1
# []
#[]
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
(test/tests/Schottky_emission/Example4/Jac.i)
dom0Scale = 1
dom0Size = 2E-6 #m
vhigh = 230E-3 #kV
negVHigh = -230E-3 #kV
# relaxTime = 50E-6 #s
threeTimesRelaxTime = 150E-6 #s
resistance = 1
area = 5.02e-7 # Formerly 3.14e-6
[GlobalParams]
# offset = 25
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
# type = FileMesh
# file = 'Geometry.msh'
type = GeneratedMesh
nx = 1
dim = 1
xmax = ${dom0Size}
[]
[Problem]
type = FEProblem
kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = ${threeTimesRelaxTime}
petsc_options = '-snes_converged_reason -snes_linesearch_monitor -snes_test_display'
solve_type = NEWTON
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
dtmin = 1e-25
# dtmax = 1E-6
nl_max_its = 200
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[current_density_user_object]
type = CurrentDensityShapeSideUserObject
boundary = left
potential = potential
em = em
ip = Arp
mean_en = mean_en
execute_on = 'linear nonlinear'
[]
[data_provider]
type = ProvideMobility
electrode_area = ${area}
ballast_resist = ${resistance}
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
# [Arp_log_stabilization]
# type = LogStabilizationMoles
# variable = Arp
# offset = 20
# block = 0
# []
# [em_log_stabilization]
# type = LogStabilizationMoles
# variable = em
# offset = 20
# block = 0
# []
# [mean_en_log_stabilization]
# type = LogStabilizationMoles
# variable = mean_en
# block = 0
# offset = 35
# []
# # [mean_en_advection_stabilization]
# # type = EFieldArtDiff
# # variable = mean_en
# # block = 0
# # []
# [em_time_deriv]
# type = ElectronTimeDerivative
# variable = em
# block = 0
# []
# [em_advection]
# type = EFieldAdvection
# variable = em
# mean_en = mean_en
# block = 0
# position_units = ${dom0Scale}
# []
# [em_diffusion]
# type = CoeffDiffusion
# variable = em
# mean_en = mean_en
# block = 0
# position_units = ${dom0Scale}
# []
# [em_ionization]
# type = ElectronsFromIonization
# em = em
# variable = em
# mean_en = mean_en
# block = 0
# position_units = ${dom0Scale}
# []
# [potential_diffusion_dom1]
# type = CoeffDiffusionLin
# variable = potential
# block = 0
# position_units = ${dom0Scale}
# []
# [Arp_charge_source]
# type = ChargeSourceMoles_KV
# variable = potential
# charged = Arp
# block = 0
# []
# [em_charge_source]
# type = ChargeSourceMoles_KV
# variable = potential
# charged = em
# block = 0
# []
# [Arp_time_deriv]
# type = ElectronTimeDerivative
# variable = Arp
# block = 0
# []
# [Arp_advection]
# type = EFieldAdvection
# variable = Arp
# position_units = ${dom0Scale}
# block = 0
# []
# [Arp_diffusion]
# type = CoeffDiffusion
# variable = Arp
# block = 0
# position_units = ${dom0Scale}
# []
# [Arp_ionization]
# type = IonsFromIonization
# variable = Arp
# em = em
# mean_en = mean_en
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_time_deriv]
# type = ElectronTimeDerivative
# variable = mean_en
# block = 0
# []
# [mean_en_advection]
# type = EFieldAdvection
# variable = mean_en
# em = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_diffusion]
# type = CoeffDiffusion
# variable = mean_en
# em = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_joule_heating]
# type = JouleHeating
# variable = mean_en
# em = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_ionization]
# type = ElectronEnergyLossFromIonization
# variable = mean_en
# em = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_elastic]
# type = ElectronEnergyLossFromElastic
# variable = mean_en
# em = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_excitation]
# type = ElectronEnergyLossFromExcitation
# variable = mean_en
# em = em
# block = 0
# position_units = ${dom0Scale}
# []
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
# [potential_left]
# type = NeumannCircuitVoltageMoles_KV
# variable = potential
# boundary = left
# function = potential_bc_func
# ions = Arp
# data_provider = data_provider
# electrons = em
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[potential_left]
boundary = left
type = PenaltyCircuitPotential
variable = potential
current = current_density_user_object
surface_potential = ${negVHigh}
surface = 'cathode'
penalty = 1
data_provider = data_provider
electrons = em
ions = Arp
electron_energy = mean_en
area = ${area}
potential_units = 'kV'
position_units = ${dom0Scale}
resistance = ${resistance}
[]
# [potential_dirichlet_right]
# type = DirichletBC
# variable = potential
# boundary = right
# value = 0
# []
# ## Electron boundary conditions ##
# [Emission_left]
# type = SchottkyEmissionBC
# # type = SecondaryElectronBC
# variable = em
# boundary = 'left'
# ions = Arp
# electron_energy = mean_en
# r = 1
# position_units = ${dom0Scale}
# # tau = ${relaxTime}
# relax = true
# []
# # [em_physical_left]
# # type = HagelaarElectronBC
# # variable = em
# # boundary = 'left'
# # electron_energy = mean_en
# # r = 0
# # position_units = ${dom0Scale}
# # []
# [em_physical_right]
# type = HagelaarElectronAdvectionBC
# variable = em
# boundary = right
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
# ## Argon boundary conditions ##
# [Arp_physical_left_diffusion]
# type = HagelaarIonDiffusionBC
# variable = Arp
# boundary = 'left'
# r = 0
# position_units = ${dom0Scale}
# []
# [Arp_physical_left_advection]
# type = HagelaarIonAdvectionBC
# variable = Arp
# boundary = 'left'
# r = 0
# position_units = ${dom0Scale}
# []
# [Arp_physical_right_diffusion]
# type = HagelaarIonDiffusionBC
# variable = Arp
# boundary = right
# r = 0
# position_units = ${dom0Scale}
# []
# [Arp_physical_right_advection]
# type = HagelaarIonAdvectionBC
# variable = Arp
# boundary = right
# r = 0
# position_units = ${dom0Scale}
# []
# ## Mean energy boundary conditions ##
# [mean_en_physical_left]
# type = HagelaarEnergyBC
# variable = mean_en
# boundary = 'left'
# electrons = em
# ions = Arp
# r = 0
# position_units = ${dom0Scale}
# []
# [mean_en_physical_right]
# type = HagelaarEnergyBC
# variable = mean_en
# boundary = right
# electrons = em
# ions = Arp
# r = 0
# position_units = ${dom0Scale}
# []
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
variable = em
type = RandomIC
block = 0
min = -20
max = -15
[]
[Arp_ic]
variable = Arp
type = RandomIC
block = 0
min = -20
max = -15
[]
[mean_en_ic]
variable = mean_en
type = RandomIC
block = 0
min = -20
max = -15
[]
[]
[Functions]
# [potential_bc_func]
# type = ParsedFunction
# symbol_names = 'VHigh'
# symbol_values = '${vhigh}'
# expression = 'VHigh'
# []
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/1d_dc/mean_en_multi.i)
dom0Scale = 1e-3
dom1Scale = 1e-7
[GlobalParams]
offset = 20
potential_units = kV
use_moles = true
# potential_units = V
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'liquidNew.msh'
[]
[interface]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'master0_interface'
input = file
[]
[interface_again]
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'master1_interface'
input = interface
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = interface_again
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Preconditioning]
[smp]
type = SMP
full = true
ksp_norm = none
[]
[]
[Executioner]
type = Transient
end_time = 1e-1
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
# petsc_options = '-snes_test_display'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
line_search = 'bt'
nl_rel_tol = 1e-4
nl_abs_tol = 7.6e-5
dtmin = 1e-12
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 15
[]
[]
[]
[Outputs]
perf_graph = true
# print_linear_residuals = false
[out]
type = Exodus
execute_on = 'final'
[]
[dof_map]
type = DOFMap
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e6
e = 1.6e-19
[]
[]
[Kernels]
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
variable = em
mean_en = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
block = 0
[]
[emliq_time_deriv]
type = ElectronTimeDerivative
variable = emliq
block = 1
[]
[emliq_advection]
type = EFieldAdvection
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_diffusion]
type = CoeffDiffusion
variable = emliq
block = 1
position_units = ${dom1Scale}
[]
[emliq_reactant_first_order_rxn]
type = ReactantFirstOrderRxn
variable = emliq
block = 1
[]
[emliq_water_bi_sink]
type = ReactantAARxn
variable = emliq
block = 1
[]
[emliq_log_stabilization]
type = LogStabilizationMoles
variable = emliq
block = 1
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom2]
type = CoeffDiffusionLin
variable = potential
block = 1
position_units = ${dom1Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[emliq_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = emliq
block = 1
[]
[OHm_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = OHm
block = 1
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[ArEx_excitation]
type = ExcitationReaction
variable = ArEx
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
reactant = false
[]
[ArEx_deexcitation]
type = ExcitationReaction
variable = ArEx
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
reactant = true
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
block = 0
[]
[ArEx_time_deriv]
type = ElectronTimeDerivative
variable = ArEx
block = 0
[]
[ArEx_diffusion]
type = CoeffDiffusion
variable = ArEx
block = 0
position_units = ${dom0Scale}
[]
[ArEx_log_stabilization]
type = LogStabilizationMoles
variable = ArEx
block = 0
offset = 30
[]
[ArTest_time_deriv]
type = ElectronTimeDerivative
variable = ArTest
block = 0
[]
[ArTest_diffusion]
type = CoeffDiffusion
variable = ArTest
block = 0
position_units = ${dom0Scale}
[]
[ArTest_log_stabilization]
type = LogStabilizationMoles
variable = ArTest
block = 0
[]
[OHm_time_deriv]
type = ElectronTimeDerivative
variable = OHm
block = 1
[]
[OHm_advection]
type = EFieldAdvection
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_diffusion]
type = CoeffDiffusion
variable = OHm
block = 1
position_units = ${dom1Scale}
[]
[OHm_log_stabilization]
type = LogStabilizationMoles
variable = OHm
block = 1
[]
[OHm_product_first_order_rxn]
type = ProductFirstOrderRxn
variable = OHm
v = emliq
block = 1
[]
[OHm_product_aabb_rxn]
type = ProductAABBRxn
variable = OHm
v = emliq
block = 1
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 15
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[emliq]
block = 1
# scaling = 1e-5
[]
[Arp]
block = 0
[]
[ArEx]
block = 0
[]
[ArTest]
block = 0
[]
[mean_en]
block = 0
# scaling = 1e-1
[]
[OHm]
block = 1
# scaling = 1e-5
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[rholiq]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[emliq_lin]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ArEx_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ArTest_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[OHm_lin]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_liq_current]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[tot_flux_OHm]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[DiffusiveFlux_emliq]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_l]
type = Position
variable = x
position_units = ${dom1Scale}
block = 1
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[x_nl]
type = Position
variable = x_node
position_units = ${dom1Scale}
block = 1
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[rholiq]
type = ParsedAux
variable = rholiq
coupled_variables = 'emliq_lin OHm_lin' # H3Op_lin OHm_lin'
expression = '-emliq_lin - OHm_lin' # 'H3Op_lin - em_lin - OHm_lin'
execute_on = 'timestep_end'
block = 1
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[tot_liq_current]
type = ParsedAux
variable = tot_liq_current
coupled_variables = 'Current_emliq Current_OHm' # Current_H3Op Current_OHm'
expression = 'Current_emliq + Current_OHm' # + Current_H3Op + Current_OHm'
execute_on = 'timestep_end'
block = 1
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
block = 0
[]
[emliq_lin]
type = DensityMoles
variable = emliq_lin
density_log = emliq
block = 1
[]
[Arp_lin]
type = DensityMoles
variable = Arp_lin
density_log = Arp
block = 0
[]
[ArEx_lin]
type = DensityMoles
variable = ArEx_lin
density_log = ArEx
block = 0
[]
[ArTest_lin]
type = DensityMoles
variable = ArTest_lin
density_log = ArTest
block = 0
[]
[OHm_lin]
type = DensityMoles
variable = OHm_lin
density_log = OHm
block = 1
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Efield_l]
type = Efield
component = 0
variable = Efield
position_units = ${dom1Scale}
block = 1
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_emliq]
type = ADCurrent
density_log = emliq
variable = Current_emliq
art_diff = false
block = 1
position_units = ${dom1Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_OHm]
block = 1
type = ADCurrent
density_log = OHm
variable = Current_OHm
art_diff = false
position_units = ${dom1Scale}
[]
[tot_flux_OHm]
block = 1
type = ADTotalFlux
density_log = OHm
variable = tot_flux_OHm
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_emliq]
type = ADEFieldAdvAux
density_log = emliq
variable = EFieldAdvAux_emliq
block = 1
position_units = ${dom1Scale}
[]
[DiffusiveFlux_emliq]
type = ADDiffusiveFlux
density_log = emliq
variable = DiffusiveFlux_emliq
block = 1
position_units = ${dom1Scale}
[]
[]
[InterfaceKernels]
[em_advection]
type = InterfaceAdvection
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[em_diffusion]
type = InterfaceLogDiffusionElectrons
neighbor_var = em
variable = emliq
boundary = master1_interface
position_units = ${dom1Scale}
neighbor_position_units = ${dom0Scale}
[]
[]
[BCs]
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
[em_physical_right]
type = HagelaarElectronBC
variable = em
boundary = 'master0_interface'
electron_energy = mean_en
r = 0.99
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'master0_interface'
electrons = em
r = 0.99
position_units = ${dom0Scale}
[]
[em_physical_left]
type = HagelaarElectronBC
variable = em
boundary = 'left'
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
[]
[sec_electrons_left]
type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.05
[]
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[ArEx_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = ArEx
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[ArEx_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = ArEx
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[ArTest_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = ArTest
boundary = 'master0_interface'
r = 0
position_units = ${dom0Scale}
[]
[ArTest_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = ArTest
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[secondary_energy_left]
type = SecondaryElectronEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
ions = 'Arp'
r = 0
emission_coeffs = 0.05
secondary_electron_energy = 3
position_units = ${dom0Scale}
[]
[emliq_right]
type = DCIonBC
variable = emliq
boundary = right
position_units = ${dom1Scale}
[]
[OHm_physical]
type = DCIonBC
variable = OHm
boundary = 'right'
position_units = ${dom1Scale}
[]
[]
[ICs]
[em_ic]
type = ConstantIC
variable = em
value = -21
block = 0
[]
[emliq_ic]
type = ConstantIC
variable = emliq
value = -21
block = 1
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -21
block = 0
[]
[ArEx_ic]
type = ConstantIC
variable = ArEx
value = -16
#value = -21
block = 0
[]
[ArTest_ic]
type = ConstantIC
variable = ArTest
value = -31
#value = -21
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -20
block = 0
[]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[OHm_ic]
type = ConstantIC
variable = OHm
value = -15.6
block = 1
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
# expression = '1.25*tanh(1e6*t)'
expression = -1.25
[]
[potential_ic_func]
type = ParsedFunction
expression = '-1.25 * (1.0001e-3 - x)'
[]
[]
[Materials]
[gas_block]
type = GasBase
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = .05
block = 0
property_tables_file = td_argon_mean_en.txt
position_units = ${dom0Scale}
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Arp
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = ArEx
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = ArTest
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[water_block]
type = Water
block = 1
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
block = '0 1'
[]
[]
(test/tests/accelerations/Acceleration_By_Shooting_Method.i)
dom0Scale=25.4e-3
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[geo]
type = FileMeshGenerator
file = 'Acceleration_By_Shooting_Method_Initial_Conditions.e'
use_for_exodus_restart = true
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = geo
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
allow_initial_conditions_with_restart = true
[]
[Variables]
[em]
initial_from_file_var = em
[]
[Ar+]
initial_from_file_var = Ar+
[]
[Ar*]
initial_from_file_var = Ar*
[]
[mean_en]
initial_from_file_var = mean_en
[]
[potential]
initial_from_file_var = potential
[]
[SM_Ar*]
initial_from_file_var = SM_Ar*
[]
[]
[Kernels]
#Electron Equations
#Time Derivative term of electron
[em_time_deriv]
type = TimeDerivativeLog
variable = em
[]
#Advection term of electron
[em_advection]
type = EFieldAdvection
variable = em
position_units = ${dom0Scale}
[]
#Diffusion term of electrons
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = ${dom0Scale}
[]
#Net electron production from ionization
[em_ionization]
type = ADEEDFReactionLog
variable = em
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from step-wise ionization
[em_stepwise_ionization]
type = ADEEDFReactionLog
variable = em
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net electron production from metastable pooling
[em_pooling]
type = ADReactionSecondOrderLog
variable = em
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Ion Equations
#Time Derivative term of the ions
[Ar+_time_deriv]
type = TimeDerivativeLog
variable = Ar+
[]
#Advection term of ions
[Ar+_advection]
type = EFieldAdvection
variable = Ar+
position_units = ${dom0Scale}
[]
[Ar+_diffusion]
type = CoeffDiffusion
variable = Ar+
position_units = ${dom0Scale}
[]
#Net ion production from ionization
[Ar+_ionization]
type = ADEEDFReactionLog
variable = Ar+
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from step-wise ionization
[Ar+_stepwise_ionization]
type = ADEEDFReactionLog
variable = Ar+
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = 1
[]
#Net ion production from metastable pooling
[Ar+_pooling]
type = ADReactionSecondOrderLog
variable = Ar+
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = 1
[]
#Argon Excited Equations
#Time Derivative term of excited Argon
[Ar*_time_deriv]
type = TimeDerivativeLog
variable = Ar*
[]
#Diffusion term of excited Argon
[Ar*_diffusion]
type = CoeffDiffusion
variable = Ar*
position_units = ${dom0Scale}
[]
#Net excited Argon production from excitation
[Ar*_excitation]
type = ADEEDFReactionLog
variable = Ar*
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
coefficient = 1
[]
#Net excited Argon loss from step-wise ionization
[Ar*_stepwise_ionization]
type = ADEEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
[]
#Net excited Argon loss from superelastic collisions
[Ar*_collisions]
type = ADEEDFReactionLog
variable = Ar*
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
[]
#Net excited Argon loss from quenching to resonant
[Ar*_quenching]
type = ADReactionSecondOrderLog
variable = Ar*
v = em
w = Ar*
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
_w_eq_u = true
[]
#Net excited Argon loss from metastable pooling
[Ar*_pooling]
type = ADReactionSecondOrderLog
variable = Ar*
v = Ar*
w = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
_v_eq_u = true
_w_eq_u = true
[]
#Net excited Argon loss from two-body quenching
[Ar*_2B_quenching]
type = ADReactionSecondOrderLog
variable = Ar*
v = Ar
w = Ar*
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
_v_eq_u = true
[]
#Net excited Argon loss from three-body quenching
[Ar*_3B_quenching]
type = ADReactionThirdOrderLog
variable = Ar*
v = Ar*
w = Ar
x = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
_v_eq_u = true
[]
#Voltage Equations
#Voltage term in Poissons Eqaution
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential
position_units = ${dom0Scale}
[]
#Ion term in Poissons Equation
[Ar+_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Ar+
[]
#Electron term in Poissons Equation
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
[]
#Electron Energy Equations
#Time Derivative term of electron energy
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
#Advection term of electron energy
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
position_units = ${dom0Scale}
[]
#Diffusion term of electrons energy
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = ${dom0Scale}
[]
#The correction for electrons energy's diffusion term
[mean_en_diffusion_correction]
type = ThermalConductivityDiffusion
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Joule Heating term
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
position_units = ${dom0Scale}
[]
#Energy loss from ionization
[Ionization_Loss]
type = ADEEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + em + Ar+'
threshold_energy = -15.7
[]
#Energy loss from excitation
[Excitation_Loss]
type = ADEEDFEnergyLog
variable = mean_en
electrons = em
target = Ar
reaction = 'em + Ar -> em + Ar*'
threshold_energy = -11.56
[]
#Energy loss from step-wise ionization
[Stepwise_Ionization_Loss]
type = ADEEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
threshold_energy = -4.14
[]
#Energy gain from superelastic collisions
[Collisions_Loss]
type = ADEEDFEnergyLog
variable = mean_en
electrons = em
target = Ar*
reaction = 'em + Ar* -> em + Ar'
threshold_energy = 11.56
[]
###################################################################################
#Argon Excited Equations
#Time Derivative term of excited Argon
[SM_Ar*_time_deriv]
type = MassLumpedTimeDerivative
variable = SM_Ar*
enable = false
[]
#Diffusion term of excited Argon
[SM_Ar*_diffusion]
type = CoeffDiffusionForShootMethod
variable = SM_Ar*
density = Ar*
position_units = ${dom0Scale}
enable = false
[]
#Net excited Argon loss from step-wise ionization
[SM_Ar*_stepwise_ionization]
type = EEDFReactionLogForShootMethod
variable = SM_Ar*
electron = em
density = Ar*
reaction = 'em + Ar* -> em + em + Ar+'
coefficient = -1
enable = false
[]
#Net excited Argon loss from superelastic collisions
[SM_Ar*_collisions]
type = EEDFReactionLogForShootMethod
variable = SM_Ar*
electron = em
density = Ar*
reaction = 'em + Ar* -> em + Ar'
coefficient = -1
enable = false
[]
#Net excited Argon loss from quenching to resonant
[SM_Ar*_quenching]
type = ReactionSecondOrderLogForShootMethod
variable = SM_Ar*
density = Ar*
v = em
reaction = 'em + Ar* -> em + Ar_r'
coefficient = -1
enable = false
[]
#Net excited Argon loss from metastable pooling
[SM_Ar*_pooling]
type = ReactionSecondOrderLogForShootMethod
variable = SM_Ar*
density = Ar*
v = Ar*
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
coefficient = -2
enable = false
[]
#Net excited Argon loss from two-body quenching
[SM_Ar*_2B_quenching]
type = ReactionSecondOrderLogForShootMethod
variable = SM_Ar*
density = Ar*
v = Ar
reaction = 'Ar* + Ar -> Ar + Ar'
coefficient = -1
enable = false
[]
#Net excited Argon loss from three-body quenching
[SM_Ar*_3B_quenching]
type = ReactionThirdOrderLogForShootMethod
variable = SM_Ar*
density = Ar*
v = Ar
w = Ar
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
coefficient = -1
enable = false
[]
[SM_Ar*_Null]
type = NullKernel
variable = SM_Ar*
[]
[]
#Variables for scaled nodes and background gas
[AuxVariables]
[SM_Ar*Reset]
initial_condition = 1.0
[]
[Ar*S]
[]
[x_node]
[]
[Ar]
[]
[Te]
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar+_lin]
order = CONSTANT
family = MONOMIAL
[]
[Ar*_lin]
order = CONSTANT
family = MONOMIAL
[]
[]
#Kernels that define the scaled nodes and background gas
[AuxKernels]
[Ar*S_for_Shooting]
type = QuotientAux
variable = Ar*S
numerator = Ar*
denominator = 1.0
enable = false
execute_on = 'TIMESTEP_END'
[]
[Constant_SM_Ar*Reset]
type = ConstantAux
variable = SM_Ar*Reset
value = 1.0
execute_on = INITIAL
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
[]
[Ar_val]
type = FunctionAux
variable = Ar
# value = 3.22e22
function = 'log(3.22e22/6.02e23)'
execute_on = INITIAL
[]
[Te]
type = ElectronTemperature
variable = Te
electron_density = em
mean_en = mean_en
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
[]
[em_lin]
type = DensityMoles
variable = em_lin
density_log = em
[]
[Ar+_lin]
type = DensityMoles
variable = Ar+_lin
density_log = Ar+
[]
[Ar*_lin]
type = DensityMoles
variable = Ar*_lin
density_log = Ar*
[]
[]
[BCs]
#Voltage Boundary Condition
[potential_left]
type = FunctionDirichletBC
variable = potential
boundary = 'left'
function = potential_bc_func
preset = false
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = 'right'
value = 0
preset = false
[]
#Boundary conditions for electons
[em_physical_right]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 0.01
ks = 1.19e5
ions = Ar+
position_units = ${dom0Scale}
[]
[em_physical_left]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 0.01
ks = 1.19e5
ions = Ar+
position_units = ${dom0Scale}
[]
#Boundary conditions for ions
[Ar+_physical_right_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'right'
position_units = ${dom0Scale}
[]
[Ar+_physical_left_advection]
type = LymberopoulosIonBC
variable = Ar+
boundary = 'left'
position_units = ${dom0Scale}
[]
#Boundary conditions for mean energy
[mean_en_physical_right]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'right'
[]
[mean_en_physical_left]
type = ElectronTemperatureDirichletBC
variable = mean_en
electrons = em
value = 0.5
boundary = 'left'
[]
#Boundary conditions for ions
[Ar*_physical_right_diffusion]
type = ADDirichletBC
variable = Ar*
boundary = 'right'
value = -50.0
[]
[Ar*_physical_left_diffusion]
type = ADDirichletBC
variable = Ar*
boundary = 'left'
value = -50.0
[]
[]
#Functions for IC and Potential BC
[Functions]
[potential_bc_func]
type = ParsedFunction
value = '0.100*sin(2*pi*13.56e6*t)'
[]
[density_ic_func]
type = ParsedFunction
value = 'log((1e13 + 1e15 * (1-x/(1.0))^2 * (x/(1.0))^2)/6.02e23)'
[]
[energy_density_ic_func]
type = ParsedFunction
value = 'log(32.) + log((1e13 + 1e15 * (1-x/(1.0))^2 * (x/(1.0))^2)/6.02e23)'
[]
[]
#Material properties of species and background gas
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[GasBasics]
#If elecron mobility and diffusion are NOT constant, set
#"interp_elastic_coeff = true". This lets the mobility and
#diffusivity to be energy dependent, as dictated by the txt file
type = GasElectronMoments
em = em
mean_en = mean_en
interp_elastic_coeff = false
interp_trans_coeffs = false
ramp_trans_coeffs = false
user_p_gas = 133.33
user_T_gas = 300
user_electron_mobility = 30.0
user_electron_diffusion_coeff = 119.8757763975
property_tables_file = Argon_reactions_RateCoefficients/electron_moments.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Ar+
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
mobility = 0.144409938
diffusivity = 6.428571e-3
[]
[gas_species_2]
type = ADHeavySpecies
heavy_species_name = Ar
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
[]
[gas_species_1]
type = ADHeavySpecies
heavy_species_name = Ar*
heavy_species_mass = 6.64e-26
heavy_species_charge = 0.0
diffusivity = 7.515528e-3
[]
[reaction_0]
#type = ADZapdosEEDFRateLinearInterpolation
type = InterpolatedCoefficientLinear
#type = ADZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_RateCoefficients/reaction_em + Ar -> em + Ar*.txt'
reaction = 'em + Ar -> em + Ar*'
file_location = '.'
electrons = em
[]
[reaction_1]
#type = ADZapdosEEDFRateLinearInterpolation
type = InterpolatedCoefficientLinear
#type = ADZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_RateCoefficients/reaction_em + Ar -> em + em + Ar+.txt'
reaction = 'em + Ar -> em + em + Ar+'
file_location = '.'
electrons = em
[]
[reaction_2]
#type = ADZapdosEEDFRateLinearInterpolation
type = InterpolatedCoefficientLinear
#type = ADZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_RateCoefficients/reaction_em + Ar* -> em + Ar.txt'
reaction = 'em + Ar* -> em + Ar'
file_location = '.'
electrons = em
[]
[reaction_3]
#type = ADZapdosEEDFRateLinearInterpolation
type = InterpolatedCoefficientLinear
#type = ADZapdosEEDFRateConstant
mean_energy = mean_en
property_file = 'Argon_reactions_RateCoefficients/reaction_em + Ar* -> em + em + Ar+.txt'
reaction = 'em + Ar* -> em + em + Ar+'
file_location = '.'
electrons = em
[]
[reaction_4]
type = ADGenericRateConstant
reaction = 'em + Ar* -> em + Ar_r'
#reaction_rate_value = 2e-13
reaction_rate_value = 1.2044e11
[]
[reaction_5]
type = ADGenericRateConstant
reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
#reaction_rate_value = 6.2e-16
reaction_rate_value = 373364000
[]
[reaction_6]
type = ADGenericRateConstant
reaction = 'Ar* + Ar -> Ar + Ar'
#reaction_rate_value = 3e-21
reaction_rate_value = 1806.6
[]
[reaction_7]
type = ADGenericRateConstant
reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
#reaction_rate_value = 1.1e-43
reaction_rate_value = 39890.9324
[]
[]
#Acceleration Schemes are dictated by MultiApps, Transfers,
#and PeriodicControllers
[MultiApps]
#MultiApp of Acceleration by Shooting Method
[Shooting]
type = FullSolveMultiApp
input_files = 'Acceleration_By_Shooting_Method_Shooting.i'
execute_on = 'TIMESTEP_END'
enable = false
[]
[]
[Transfers]
#MultiApp Transfers for Acceleration by Shooting Method
[SM_Ar*Reset_to_Shooting]
type = MultiAppCopyTransfer
direction = to_multiapp
multi_app = Shooting
source_variable = SM_Ar*Reset
variable = SM_Ar*Reset
enable = false
[]
[Ar*_to_Shooting]
type = MultiAppCopyTransfer
direction = to_multiapp
multi_app = Shooting
source_variable = Ar*
variable = Ar*
enable = false
[]
[Ar*S_to_Shooting]
type = MultiAppCopyTransfer
direction = to_multiapp
multi_app = Shooting
source_variable = Ar*S
variable = Ar*S
enable = false
[]
[Ar*T_to_Shooting]
type = MultiAppCopyTransfer
direction = to_multiapp
multi_app = Shooting
source_variable = Ar*
variable = Ar*T
enable = false
[]
[SMDeriv_to_Shooting]
type = MultiAppCopyTransfer
direction = to_multiapp
multi_app = Shooting
source_variable = SM_Ar*
variable = SM_Ar*
enable = false
[]
[Ar*New_from_Shooting]
type = MultiAppCopyTransfer
direction = from_multiapp
multi_app = Shooting
source_variable = Ar*
variable = Ar*
enable = false
[]
[SM_Ar*Reset_from_Shooting]
type = MultiAppCopyTransfer
direction = from_multiapp
multi_app = Shooting
source_variable = SM_Ar*Reset
variable = SM_Ar*
enable = false
[]
[Ar*Relative_Diff]
type = MultiAppPostprocessorTransfer
direction = from_multiapp
multi_app = Shooting
from_postprocessor = Meta_Relative_Diff
to_postprocessor = Meta_Relative_Diff
reduction_type = minimum
enable = false
[]
[]
#The Action the add the TimePeriod Controls to turn off and on the MultiApps
[PeriodicControllers]
[Shooting]
Enable_at_cycle_start = '*::Ar*S_for_Shooting'
Enable_during_cycle = '*::SM_Ar*_time_deriv *::SM_Ar*_diffusion *::SM_Ar*_stepwise_ionization
*::SM_Ar*_collisions *::SM_Ar*_quenching *::SM_Ar*_pooling
*::SM_Ar*_2B_quenching *::SM_Ar*_3B_quenching'
Enable_at_cycle_end = 'MultiApps::Shooting
*::SM_Ar*Reset_to_Shooting *::Ar*_to_Shooting
*::Ar*S_to_Shooting *::Ar*T_to_Shooting
*::SMDeriv_to_Shooting *::Ar*New_from_Shooting
*::SM_Ar*Reset_from_Shooting *::Ar*Relative_Diff'
cycle_frequency = 13.56e6
#starting_cycle = 25
#cycles_between_controls = 25
starting_cycle = 50
cycles_between_controls = 50
cycles_per_controls = 1
num_controller_set = 2
name = Shooting
[]
[]
[Postprocessors]
#Hold the metastable relative difference during the
#Shooting Method acceleration
[Meta_Relative_Diff]
type = Receiver
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 3.6873e-6
end_time = 3.798e-6
solve_type = NEWTON
line_search = none
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = newmark-beta
dt = 1e-9
dtmin = 1e-14
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
execute_on = 'FINAL'
[]
[]
(test/tests/Schottky_emission/Example1/Input.i)
dom0Scale = 1
dom0Size = 4E-6 #m
vhigh = -200E-3 #kV
[GlobalParams]
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = 10E-6
petsc_options = '-snes_converged_reason -snes_linesearch_monitor -snes_ksp_ew'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 1e-4
nl_abs_tol = 5e-10
dtmin = 1e-16
# dtmax = 1E-6
nl_max_its = 100
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e0
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 50
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 50
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 50
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
# tau = 10E-6
relax = true
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -40
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -40
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -39
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/surface_charge/interface_test.i)
# This example is a simple steady state potential with a constant
# surface charge.
# The surface charge is taken into account with an interface kernel,
# causing a discontinuity in the electric field.
# A MatchedValueBC is also needed to ensure the potential is
# continuous across the two regions.
dom0Scale = 1e-4
dom1Scale = 1e-4
[Mesh]
# The mesh file generates the appropriate 1D mesh, but the interfaces
# needed for the potential and surface charge have not been defined.
# Here SideSetsBetweenSubdomainsGenerator is used to generate the
# appropriate interfaces at the dielectrics.
#
# Block 0 = left dielectric
# Block 1 = plasma region
# Block 2 = right dielectric
[file]
type = FileMeshGenerator
file = 'interface_mesh.msh'
[]
[plasma_right]
# plasma master
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'plasma_right'
input = file
[]
[dielectric_left]
# left dielectric master
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'dielectric_left'
input = plasma_right
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = dielectric_left
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Steady
automatic_scaling = true
solve_type = NEWTON
#petsc_options = '-snes_test_jacobian'
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
[]
[]
[Variables]
[potential_dom0]
block = 0
[]
[potential_dom1]
block = 1
[]
[]
[Kernels]
[potential_diffusion_dom0]
type = CoeffDiffusionLin
variable = potential_dom0
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential_dom1
block = 1
position_units = ${dom1Scale}
[]
[]
[InterfaceKernels]
# At the dielectric interfaces, the potential is required to be continuous
# in value but discontinuous in slope due to surface charge accumulation.
#
# The potential requires two different boundary conditions on each side:
# (1) An InterfaceKernel to provide the Neumann boundary condition
# (2) A MatchedValueBC to ensure that the potential remains continuous
[potential_left]
type = PotentialSurfaceCharge
neighbor_var = potential_dom1
variable = potential_dom0
position_units = ${dom0Scale}
neighbor_position_units = ${dom1Scale}
boundary = plasma_right
[]
[]
[BCs]
# Interface BCs:
[match_potential]
type = MatchedValueBC
variable = potential_dom1
v = potential_dom0
boundary = 'dielectric_left'
[]
# Electrode and ground BCs:
# Electrode is at x = 0, named 'left'
[potential_left]
type = FunctionDirichletBC
variable = potential_dom0
function = potential_input
boundary = 'left'
[]
# Ground is at x = 0.3 mm, named 'right'
[potential_dirichlet_right]
type = DirichletBC
variable = potential_dom1
boundary = right
value = 0
[]
[]
[ICs]
[potential_dom0_ic]
type = FunctionIC
variable = potential_dom0
function = potential_ic_func
[]
[potential_dom1_ic]
type = FunctionIC
variable = potential_dom1
function = potential_ic_func
[]
[]
[Functions]
# Define a sinusoidal voltage pulse with a frequency of 50 kHz
# Amplitude is set to 750 Volts
# (Note that here the amplitude is set to 0.75. Potential units are
# typically included as kV, not V. This option is set in the
# GlobalParams block.)
[potential_input]
type = ParsedFunction
symbol_names = 'f0'
symbol_values = '50e3'
#expression = '-0.75*sin(2*3.1415926*f0*t)'
expression = '-0.75'
[]
# Set the initial condition to a line from -10 V on the left and
# 0 on the right.
# (Poisson solver tends to struggle with a uniformly zero potential IC.)
[potential_ic_func]
type = ParsedFunction
expression = '-0.75 * (2.0001e-4 - x)'
[]
[]
[Materials]
#########
# Define secondary electron emission coefficients on the left and right
# dielectrics.
#########
[se_left]
type = GenericConstantMaterial
boundary = 'plasma_right'
prop_names = 'se_coeff'
prop_values = '0.01'
[]
[gas_constants]
type = GenericConstantMaterial
block = 1
prop_names = ' e N_A k_boltz eps se_energy T_gas massem p_gas'
prop_values = '1.6e-19 6.022e23 1.38e-23 8.854e-12 1. 400 9.11e-31 1.01e5'
[]
# Create a constant surface charge on the boundary named 'plasma_side'
[sc_test]
type = ADGenericConstantMaterial
boundary = 'plasma_right'
prop_names = 'surface_charge'
prop_values = '-1e-6'
[]
[dielectric_left_side]
type = ADGenericConstantMaterial
prop_names = 'diffpotential_dom0'
prop_values = '8.85e-12'
block = 0
[]
[gas_phase]
type = ADGenericConstantMaterial
prop_names = 'diffpotential_dom1'
prop_values = '8.85e-11'
block = 1
[]
[field_solver0]
type = FieldSolverMaterial
potential = potential_dom0
block = 0
[]
[field_solver1]
type = FieldSolverMaterial
potential = potential_dom1
block = 1
[]
[]
(test/tests/field_solver/field_solver_material_electromagnetic.i)
# Temporary electromagnetic test for FieldSolverMaterial object
# Domain: 2D square, x=[0,1], y=[0,1]
# Expected output:
# e_field = (1, 2, 0)
# field_output = (1, 2, 0)
[Mesh]
[./generated]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
elem_type = QUAD8
[../]
[]
[Problem]
solve = false
[]
[AuxVariables]
[./field_output]
family = NEDELEC_ONE
order = FIRST
[../]
[./e_field]
family = LAGRANGE_VEC
order = FIRST
[../]
[]
[ICs]
[./e_field_ic]
type = VectorConstantIC
x_value = 1
y_value = 2
variable = e_field
[../]
[]
[AuxKernels]
[./field_output_aux]
type = ADVectorMaterialRealVectorValueAux
property = 'field_solver_interface_property'
variable = field_output
[../]
[]
[Materials]
[./field_solver]
type = FieldSolverMaterial
electric_field = e_field
solver = electromagnetic
block = 0
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
[./out]
type = Exodus
show = 'e_field field_output'
[../]
[]
(test/tests/mms/bcs/1D_LymberopoulosElectronBC.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = 'LymberopoulosElectronBC_LeftBC_IC_out.e'
#file = 'LymberopoulosElectronBC_RightBC_IC_out.e'
use_for_exodus_restart = true
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = geo
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Outputs]
file_base = 'LymberopoulosElectronBC_LeftBC_out'
#file_base = 'LymberopoulosElectronBC_RightBC_out'
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[potential]
initial_from_file_var = potential
[]
[ion]
initial_from_file_var = ion
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EFieldAdvection
variable = ion
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Potential Equations
[potential_diff]
type = CoeffDiffusionLin
variable = potential
position_units = 1.0
[]
[potential_source]
type = BodyForce
variable = potential
function = 'potential_source'
[]
[]
[AuxVariables]
[potential_sol]
[]
[ion_sol]
[]
[em_sol]
[]
[]
[AuxKernels]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[]
[Functions]
#Constants for the manufactured solutions
#The lenght between electrode
[l]
type = ConstantFunction
value = 1.0
[]
#The frequency
[f]
type = ConstantFunction
value = 1.0
[]
#Material Variables
#Electron diffusion coeff.
[diffem]
type = ConstantFunction
value = '1.0'
[]
#Electron mobility coeff.
[muem]
type = ConstantFunction
value = 1.0
[]
#Ion diffusion coeff.
[diffion]
type = ParsedFunction
vars = 'diffem'
vals = 'diffem'
value = 'diffem'
[]
#Ion mobility coeff.
[muion]
type = ParsedFunction
vars = 'muem'
vals = 'muem'
value = 'muem'
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 1.0
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'l f N_A'
vals = 'l f N_A'
value = 'log(((sin(2.*pi*f*t) + 2.) * ((x/l)*(1. - x/l) + 1.)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'em_fun'
vals = 'em_fun'
value = 'em_fun'
[]
#The manufactured electron density solution
[potential_fun]
type = ParsedFunction
vars = 'l f'
vals = 'l f'
value = '-sin(2.*pi*f*t)*(x/l)^2. + (x/l)^2.'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'l f diffem muem N_A'
vals = 'l f diffem muem N_A'
value = '((2.*diffem*(sin(2.*pi*f*t) + 2.))/l^2. + (2.*f*pi*cos(2.*pi*f*t)*(l^2. + l*x - x^2.))/l^2. -
(2.*muem*(sin(2.*pi*f*t) - 1.)*(sin(2.*pi*f*t) + 2.)*(l^2. + l*x - x^2.))/l^4. -
(2.*muem*x*(sin(2.*pi*f*t) - 1.)*(sin(2.*pi*f*t) + 2.)*(l - 2.*x))/l^4.) / N_A'
[]
[ion_source]
type = ParsedFunction
vars = 'l f diffion muion N_A'
vals = 'l f diffion muion N_A'
value = '((2.*diffion*(sin(2.*pi*f*t) + 2.))/l^2. + (2.*f*pi*cos(2.*pi*f*t)*(l^2. + l*x - x^2.))/l^2. +
(2.*muion*(sin(2.*pi*f*t) - 1.)*(sin(2.*pi*f*t) + 2.)*(l^2. + l*x - x^2.))/l^4. +
(2.*muion*x*(sin(2.*pi*f*t) - 1.)*(sin(2.*pi*f*t) + 2.)*(l - 2.*x))/l^4.) / N_A'
[]
[potential_source]
type = ParsedFunction
vars = 'l f'
vals = 'l f'
value = 'sin(2.*pi*f*t)*(2./l^2.) - (2./l^2.)'
[]
#The left BC dirichlet function
[em_left_BC]
type = ParsedFunction
vars = 'l f N_A'
vals = 'l f N_A'
value = 'log((sin(2.*pi*f*t) + 2.) / N_A)'
[]
[ion_left_BC]
type = ParsedFunction
vars = 'l f N_A'
vals = 'l f N_A'
value = 'log((sin(2.*pi*f*t) + 2.) / N_A)'
[]
[potential_left_BC]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = '0.0'
[]
#The right BC dirichlet function
[em_right_BC]
type = ParsedFunction
vars = 'l f N_A'
vals = 'l f N_A'
value = 'log((sin(2.*pi*f*t) + 2.) / N_A)'
[]
[ion_right_BC]
type = ParsedFunction
vars = 'l f N_A'
vals = 'l f N_A'
value = 'log((sin(2.*pi*f*t) + 2.) / N_A)'
[]
[potential_right_BC]
type = ParsedFunction
vars = 'f N_A'
vals = 'f N_A'
value = '1. - sin(2.*pi*f*t)'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((1.) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((1.) / N_A)'
[]
[]
[BCs]
#active = 'potential_left_BC potential_right_BC
# ion_left_BC ion_right_BC
# em_left_BC em_right_BC'
#active = 'potential_left_BC potential_right_BC
# ion_left_BC ion_right_BC
# em_left_Flux_BC em_right_BC'
#active = 'potential_left_BC potential_right_BC
# ion_left_BC ion_right_BC
# em_left_BC em_right_Flux_BC'
active = 'potential_left_BC potential_right_BC
ion_left_BC ion_right_BC
em_left_LymberopoulosElectronBC em_right_BC'
#active = 'potential_left_BC potential_right_BC
# ion_left_BC ion_right_BC
# em_left_BC em_right_LymberopoulosElectronBC'
[potential_left_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = 'left'
[]
[potential_right_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = 'right'
[]
[ion_left_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = 'left'
[]
[ion_right_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = 'right'
[]
[em_left_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = 'left'
[]
[em_left_Flux_BC]
type = FunctionNeumannBC
variable = em
function = 'em_left_Flux_BC'
boundary = 'left'
[]
[em_left_LymberopoulosElectronBC]
type = LymberopoulosElectronBC
variable = em
boundary = 'left'
emission_coeffs = 1.0
ks = 1.0
ions = ion
position_units = 1.0
[]
[em_right_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = 'right'
[]
[em_right_Flux_BC]
type = FunctionNeumannBC
variable = em
function = 'em_right_Flux_BC'
boundary = 'right'
[]
[em_right_LymberopoulosElectronBC]
type = LymberopoulosElectronBC
variable = em
boundary = 'right'
emission_coeffs = 1.0
ks = 1.0
ions = ion
position_units = 1.0
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A'
prop_values = 'ee N_A'
[]
[ADMaterial_Coeff]
type = ADGenericFunctionMaterial
prop_names = 'diffpotential diffem muem diffion muion'
prop_values = 'diffpotential diffem muem diffion muion'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion'
prop_values = '-1.0 1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.0075
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-14
[]
(test/tests/reflections/Schottky_300_V_5_um/Input.i)
dom0Scale = 1
dom0Size = 5E-6 #m
vhigh = -400E-3 #kV
[GlobalParams]
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = 1E-6
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 1e-9
nl_abs_tol = 1e-9
dtmin = 1e-16
dtmax = 0.1E-7
nl_max_its = 100
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e0
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 45
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 45
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 45
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
tau = 100E-9
relax = true
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
# [Arp_physical_left_diffusion]
# type = HagelaarIonDiffusionBC
# variable = Arp
# boundary = 'left'
# r = 0
# position_units = ${dom0Scale}
# []
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
# [Arp_physical_right_diffusion]
# type = HagelaarIonDiffusionBC
# variable = Arp
# boundary = right
# r = 0
# position_units = ${dom0Scale}
# []
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyAdvectionBC
variable = mean_en
boundary = 'left'
ions = Arp
r = 0
position_units = ${dom0Scale}
secondary_electron_energy = 3
emission_coeffs = 0.02
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -42
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -45
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -36
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/reflections/Schottky_400_V_10_um/Input.i)
dom0Scale = 1
dom0Size = 5E-6 #m
vhigh = -175E-3 #kV
[GlobalParams]
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 5e-14
nl_abs_tol = 1e-13
steady_state_start_time = 1E-6
dtmin = 1e-30
dtmax = 0.1E-7
nl_max_its = 200
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.9
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e3
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 45
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 45
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 45
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -42
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -45
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -36
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/Schottky_emission/Example3/Input.i)
dom0Scale = 1
dom0Size = 2E-6 #m
vhigh = -230E-3 #kV
# relaxTime = 50E-6 #s
threeTimesRelaxTime = 150E-6 #s
[GlobalParams]
# offset = 25
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = ${threeTimesRelaxTime}
petsc_options = '-snes_converged_reason -snes_linesearch_monitor -snes_ksp_ew'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda -ksp_gmres_restart'
petsc_options_value = 'gamg NONZERO 1.e-10 preonly 1e-3 100'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
dtmin = 1e-25
# dtmax = 1E-6
nl_max_its = 200
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-13
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e0
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 20
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 20
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 35
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
# tau = ${relaxTime}
relax = true
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -30
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -30
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -25
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/mms/bcs/2D_ElectronBC.i)
[Mesh]
[geo]
type = FileMeshGenerator
file = '2D_ElectronBC_IC_out.e'
use_for_exodus_restart = true
[]
[]
[Problem]
type = FEProblem
[]
[Variables]
[em]
initial_from_file_var = em
[]
[ion]
initial_from_file_var = ion
[]
[mean_en]
initial_from_file_var = mean_en
[]
[Ex]
initial_from_file_var = Ex
[]
[Ey]
initial_from_file_var = Ey
[]
[potential]
initial_from_file_var = potential
[]
[]
[Kernels]
#Electron Equations
[em_time_derivative]
type = TimeDerivativeLog
variable = em
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
position_units = 1.0
[]
[em_advection]
type = EFieldAdvection
variable = em
position_units = 1.0
[]
[em_source]
type = BodyForce
variable = em
function = 'em_source'
[]
#Ion Equations
[ion_time_derivative]
type = TimeDerivativeLog
variable = ion
[]
[ion_diffusion]
type = CoeffDiffusion
variable = ion
position_units = 1.0
[]
[ion_advection]
type = EffectiveEFieldAdvection
variable = ion
u = Ex
v = Ey
position_units = 1.0
[]
[ion_source]
type = BodyForce
variable = ion
function = 'ion_source'
[]
#Eff. Efield
[EffEfield_X_time_deriv]
type = TimeDerivative
variable = Ex
[]
[EffEfield_X_diffusion]
type = MatDiffusion
diffusivity = diffEx
variable = Ex
[]
[EffEfield_X_source]
type = BodyForce
variable = Ex
function = 'Ex_source'
[]
[EffEfield_Y_time_deriv]
type = TimeDerivative
variable = Ey
[]
[EffEfield_Y_diffusion]
type = MatDiffusion
diffusivity = diffEy
variable = Ey
[]
[EffEfield_Y_source]
type = BodyForce
variable = Ey
function = 'Ey_source'
[]
#Potential
[Potential_time_deriv]
type = TimeDerivative
variable = potential
[]
[Potential_diffusion]
type = MatDiffusion
diffusivity = diffpotential
variable = potential
[]
[Potential_source]
type = BodyForce
variable = potential
function = 'potential_source'
[]
#Electron Energy Equations
[mean_en_time_deriv]
type = TimeDerivativeLog
variable = mean_en
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
position_units = 1.0
[]
[mean_en_source]
type = BodyForce
variable = mean_en
function = 'energy_source'
[]
[]
[AuxVariables]
[mean_en_sol]
[]
[em_sol]
[]
[ion_sol]
[]
[Ex_sol]
[]
[Ey_sol]
[]
[potential_sol]
[]
[]
[AuxKernels]
[mean_en_sol]
type = FunctionAux
variable = mean_en_sol
function = mean_en_fun
[]
[em_sol]
type = FunctionAux
variable = em_sol
function = em_fun
[]
[ion_sol]
type = FunctionAux
variable = ion_sol
function = ion_fun
[]
[Ex_sol]
type = FunctionAux
variable = Ex_sol
function = Ex_fun
[]
[Ey_sol]
type = FunctionAux
variable = Ey_sol
function = Ey_fun
[]
[potential_sol]
type = FunctionAux
variable = potential_sol
function = potential_fun
[]
[]
[Functions]
#Material Variables
[massem]
type = ConstantFunction
value = 1.0
[]
#Electron diffusion coeff.
[diffem]
type = ConstantFunction
value = 0.05
[]
[muem]
type = ConstantFunction
value = 0.01
[]
#Electron energy mobility coeff.
[diffmean_en]
type = ConstantFunction
value = 0.05
[]
#Ion diffusion coeff.
[diffion]
type = ParsedFunction
vars = diffem
vals = diffem
value = diffem
[]
[muion]
type = ParsedFunction
vars = muem
vals = muem
value = muem
[]
[N_A]
type = ConstantFunction
value = 1.0
[]
[ee]
type = ConstantFunction
value = 1.0
[]
[diffpotential]
type = ConstantFunction
value = 0.25
[]
#Manufactured Solutions
#The manufactured electron density solution
[em_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured ion density solution
[ion_fun]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((sin(pi*y) + 0.2*sin(2*pi*t)*cos(pi*y) + 1.0 + sin(pi*x)) / N_A)'
[]
#The manufactured electron energy solution
[mean_en_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = 'log(((3*massem*pi*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(16*ee*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))) / N_A)'
[]
#The manufactured eff. Efield solution
[Ex_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi*cos(pi*y)*(sin(pi*t) + 1)'
[]
#The manufactured potential solution
[potential_fun]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-(sin(pi*t) + 1.0)*(sin(pi*y) + sin(pi*x))'
[]
#Source Terms in moles
#The electron source term.
[em_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(diffem*pi^2*sin(pi*x) + (diffem*pi^2*(5*sin(pi*y) +
cos(pi*y)*sin(2*pi*t)))/5 + (2*pi*cos(2*pi*t)*cos(pi*y))/5 +
(muem*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) + 5*sin(pi*y) + 10*sin(pi*x)*sin(pi*y) -
10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) +
2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
#The ion source term.
[ion_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(diffion*pi^2*sin(pi*x) + (diffion*pi^2*(5*sin(pi*y) + cos(pi*y)*sin(2*pi*t)))/5 +
(2*pi*cos(2*pi*t)*cos(pi*y))/5 + (muion*pi^2*(sin(pi*t) + 1)*(5*sin(pi*x) + 5*sin(pi*y) +
10*sin(pi*x)*sin(pi*y) - 10*cos(pi*x)^2 - 10*cos(pi*y)^2 + cos(pi*y)*sin(2*pi*t)*sin(pi*x) +
2*cos(pi*y)*sin(2*pi*t)*sin(pi*y) + 10))/5) / N_A'
[]
[energy_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '((3*massem*pi*(8*muem*pi^2*cos(pi*t)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1) +
(16*muem*pi^2*cos(2*pi*t)*cos(pi*y)*(sin(pi*t) + 1))/5)*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)))/(8*ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) -
diffmean_en*((3*massem*pi^3*sin(pi*x)*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(16*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^2) +
(3*massem*pi^3*cos(pi*x)^2*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(8*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^3) +
(24*massem*muem^2*pi^5*cos(pi*x)^2*(sin(pi*t) + 1)^2)/(ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) -
(3*massem*muem*pi^4*sin(pi*x)*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))*(sin(pi*t) + 1))/(ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) -
(6*massem*muem*pi^4*cos(pi*x)^2*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))*(sin(pi*t) + 1))/(ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^2)) -
diffmean_en*((3*massem*pi*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)^2*(4*pi*diffem +
8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(8*ee*(sin(x*pi) + sin(y*pi) +
(cos(y*pi)*sin(2*t*pi))/5 + 1)^3) + (3*massem*pi*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5)*(4*pi*diffem +
8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(16*ee*(sin(x*pi) +
sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^2) + (24*massem*muem^2*pi^3*(pi*cos(pi*y) -
(pi*sin(2*pi*t)*sin(pi*y))/5)^2*(sin(pi*t) + 1)^2)/(ee*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) -
(6*massem*muem*pi^2*(pi*cos(pi*y) - (pi*sin(2*pi*t)*sin(pi*y))/5)^2*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))*(sin(pi*t) + 1))/(ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^2) -
(3*massem*muem*pi^2*(pi^2*sin(pi*y) + (pi^2*cos(pi*y)*sin(2*pi*t))/5)*(4*pi*diffem +
8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))*(sin(pi*t) + 1))/(ee*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1))) - (3*massem*pi^2*cos(2*pi*t)*cos(pi*y)*(4*pi*diffem + 8*muem*pi*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1))^2)/(40*ee*(sin(x*pi) + sin(y*pi) + (cos(y*pi)*sin(2*t*pi))/5 + 1)^2)) / N_A'
[]
#The Ex source term.
[Ex_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi^2*cos(pi*t)*cos(pi*x) - diffpotential*pi^3*cos(pi*x)*(sin(pi*t) + 1)'
[]
[Ey_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi^2*cos(pi*t)*cos(pi*y) - diffpotential*pi^3*cos(pi*y)*(sin(pi*t) + 1)'
[]
[potential_source]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '-pi*cos(pi*t)*(sin(pi*x) + sin(pi*y)) -
diffpotential*pi^2*sin(pi*x)*(sin(pi*t) + 1) -
diffpotential*pi^2*sin(pi*y)*(sin(pi*t) + 1)'
[]
[em_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[ion_ICs]
type = ParsedFunction
vars = 'N_A'
vals = 'N_A'
value = 'log((3.0 + sin(pi/2*x)) / N_A)'
[]
[mean_en_ICs]
type = ParsedFunction
vars = 'em_ICs'
vals = 'em_ICs'
value = 'log(3./2.) + em_ICs'
[]
[em_left_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(-diffem*pi*cos(pi*x) - muem*pi*cos(pi*x)*(sin(pi*t) + 1)*(sin(pi*x) +
sin(pi*y) + (cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[em_down_Flux_BC]
type = ParsedFunction
vars = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
vals = 'ee N_A diffpotential diffem muem massem diffmean_en diffion muion'
value = '(-(diffem*pi*(5*cos(pi*y) - sin(2*pi*t)*sin(pi*y)))/5 -
muem*pi*cos(pi*y)*(sin(pi*t) + 1)*(sin(pi*x) + sin(pi*y) +
(cos(pi*y)*sin(2*pi*t))/5 + 1)) / N_A'
[]
[]
[BCs]
#[em_left_BC]
# type = FunctionDirichletBC
# variable = em
# function = 'em_fun'
# boundary = 3
# preset = true
#[]
#[em_left_BC]
# type = FunctionNeumannBC
# variable = em
# function = 'em_left_Flux_BC'
# boundary = 3
# preset = true
#[]
[em_physical_diffusion_left]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 3
position_units = 1.0
[]
[em_Ar+_second_emissions_left]
type = SakiyamaSecondaryElectronWithEffEfieldBC
variable = em
Ex = Ex
Ey = Ey
ions = ion
emission_coeffs = 'users_gamma'
boundary = 3
position_units = 1.0
[]
[em_right_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = 1
preset = true
[]
#[em_down_BC]
# type = FunctionDirichletBC
# variable = em
# function = 'em_fun'
# boundary = 0
# preset = true
#[]
#[em_down_BC]
# type = FunctionNeumannBC
# variable = em
# function = 'em_down_Flux_BC'
# boundary = 0
# preset = true
#[]
[em_physical_diffusion_down]
type = SakiyamaElectronDiffusionBC
variable = em
electron_energy = mean_en
boundary = 0
position_units = 1.0
[]
[em_Ar+_second_emissions_down]
type = SakiyamaSecondaryElectronWithEffEfieldBC
variable = em
Ex = Ex
Ey = Ey
ions = ion
emission_coeffs = 'users_gamma'
boundary = 0
position_units = 1.0
[]
[em_up_BC]
type = FunctionDirichletBC
variable = em
function = 'em_fun'
boundary = 2
preset = true
[]
[ion_BC]
type = FunctionDirichletBC
variable = ion
function = 'ion_fun'
boundary = '0 1 2 3'
preset = true
[]
[energy_BC]
type = FunctionDirichletBC
variable = mean_en
function = 'mean_en_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ex_BC]
type = FunctionDirichletBC
variable = Ex
function = 'Ex_fun'
boundary = '0 1 2 3'
preset = true
[]
[Ey_BC]
type = FunctionDirichletBC
variable = Ey
function = 'Ey_fun'
boundary = '0 1 2 3'
preset = true
[]
[potential_BC]
type = FunctionDirichletBC
variable = potential
function = 'potential_fun'
boundary = '0 1 2 3'
preset = true
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[Material_Coeff]
type = GenericFunctionMaterial
prop_names = 'e N_A massem diffpotential diffEx diffEy'
prop_values = 'ee N_A massem diffpotential diffpotential diffpotential '
[]
[ADMaterial_Coeff_Set1]
type = ADGenericFunctionMaterial
prop_names = 'diffion muion diffem muem diffmean_en'
prop_values = 'diffion muion diffem muem diffmean_en'
[]
[Charge_Signs]
type = GenericConstantMaterial
prop_names = 'sgnem sgnion sgnmean_en'
prop_values = '-1.0 1.0 -1.0'
[]
[emission_coeffs]
type = ADGenericConstantMaterial
prop_names = 'users_gamma'
prop_values = '1.0'
[]
[]
[Postprocessors]
[em_l2Error]
type = ElementL2Error
variable = em
function = em_fun
[]
[ion_l2Error]
type = ElementL2Error
variable = ion
function = ion_fun
[]
[mean_en_l2Error]
type = ElementL2Error
variable = mean_en
function = mean_en_fun
[]
[Ex_l2Error]
type = ElementL2Error
variable = Ex
function = Ex_fun
[]
[Ey_l2Error]
type = ElementL2Error
variable = Ey
function = Ey_fun
[]
[potential_l2Error]
type = ElementL2Error
variable = potential
function = potential_fun
[]
[h]
type = AverageElementSize
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[fdp]
type = FDP
full = true
[]
[]
[Executioner]
type = Transient
start_time = 50
end_time = 51
# dt = 0.008
dt = 0.02
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1.e-10'
scheme = bdf2
nl_abs_tol = 1e-13
[]
[Outputs]
perf_graph = true
[out]
type = Exodus
interval = 10
[]
[]
(test/tests/Schottky_emission/Example2/Input.i)
dom0Scale = 1
dom0Size = 12E-6 #m
vhigh = -80E-3 #kV
[GlobalParams]
potential_units = kV
# potential_units = V
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[add_left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[add_right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = add_left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = 10E-6
petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
petsc_options_value = 'lu NONZERO 1.e-10 preonly 1e-3'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-11
dtmin = 1e-16
# dtmax = 1E-6
nl_max_its = 100
[TimeSteppers]
[Adaptive]
type = IterationAdaptiveDT
cutback_factor = 0.4
dt = 1e-11
growth_factor = 1.2
optimal_iterations = 100
[]
[]
[]
[Outputs]
perf_graph = true
print_linear_residuals = false
[out]
type = Exodus
# execute_on = 'final'
[]
[]
[Debug]
show_var_residual_norms = true
[]
[UserObjects]
[data_provider]
type = ProvideMobility
electrode_area = 5.02e-7 # Formerly 3.14e-6
ballast_resist = 1e0
e = 1.6e-19
[]
[]
[Kernels]
## Stabilization
[Arp_log_stabilization]
type = LogStabilizationMoles
variable = Arp
offset = 50
block = 0
[]
[em_log_stabilization]
type = LogStabilizationMoles
variable = em
offset = 50
block = 0
[]
[mean_en_log_stabilization]
type = LogStabilizationMoles
variable = mean_en
block = 0
offset = 50
[]
# [mean_en_advection_stabilization]
# type = EFieldArtDiff
# variable = mean_en
# block = 0
# []
[em_time_deriv]
type = ElectronTimeDerivative
variable = em
block = 0
[]
[em_advection]
type = EFieldAdvection
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_diffusion]
type = CoeffDiffusion
variable = em
block = 0
position_units = ${dom0Scale}
[]
[em_ionization]
type = ElectronsFromIonization
em = em
variable = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[potential_diffusion_dom1]
type = CoeffDiffusionLin
variable = potential
block = 0
position_units = ${dom0Scale}
[]
[Arp_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = Arp
block = 0
[]
[em_charge_source]
type = ChargeSourceMoles_KV
variable = potential
charged = em
block = 0
[]
[Arp_time_deriv]
type = ElectronTimeDerivative
variable = Arp
block = 0
[]
[Arp_advection]
type = EFieldAdvection
variable = Arp
position_units = ${dom0Scale}
block = 0
[]
[Arp_diffusion]
type = CoeffDiffusion
variable = Arp
block = 0
position_units = ${dom0Scale}
[]
[Arp_ionization]
type = IonsFromIonization
variable = Arp
em = em
mean_en = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_time_deriv]
type = ElectronTimeDerivative
variable = mean_en
block = 0
[]
[mean_en_advection]
type = EFieldAdvection
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_diffusion]
type = CoeffDiffusion
variable = mean_en
block = 0
position_units = ${dom0Scale}
[]
[mean_en_joule_heating]
type = JouleHeating
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
em = em
block = 0
position_units = ${dom0Scale}
[]
[]
[Variables]
[potential]
[]
[em]
block = 0
[]
[Arp]
block = 0
[]
[mean_en]
block = 0
[]
[]
[AuxVariables]
[e_temp]
block = 0
order = CONSTANT
family = MONOMIAL
[]
[x]
order = CONSTANT
family = MONOMIAL
[]
[x_node]
[]
[rho]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[em_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Arp_lin]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Efield]
order = CONSTANT
family = MONOMIAL
[]
[Current_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[Current_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[tot_gas_current]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[EFieldAdvAux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[DiffusiveFlux_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_em]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[PowerDep_Arp]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_el]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_ex]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[ProcRate_iz]
order = CONSTANT
family = MONOMIAL
block = 0
[]
[]
[AuxKernels]
[PowerDep_em]
type = ADPowerDep
density_log = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density_log = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
em = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
em = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
em = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electron_density = em
mean_en = mean_en
block = 0
[]
[x_g]
type = Position
variable = x
position_units = ${dom0Scale}
block = 0
[]
[x_ng]
type = Position
variable = x_node
position_units = ${dom0Scale}
block = 0
[]
[rho]
type = ParsedAux
variable = rho
coupled_variables = 'em_lin Arp_lin'
expression = 'Arp_lin - em_lin'
execute_on = 'timestep_end'
block = 0
[]
[tot_gas_current]
type = ParsedAux
variable = tot_gas_current
coupled_variables = 'Current_em Current_Arp'
expression = 'Current_em + Current_Arp'
execute_on = 'timestep_end'
block = 0
[]
[em_lin]
type = Density
# convert_moles = true
variable = em_lin
density_log = em
block = 0
[]
[Arp_lin]
type = Density
# convert_moles = true
variable = Arp_lin
density_log = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density_log = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density_log = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density_log = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density_log = em
variable = DiffusiveFlux_em
block = 0
position_units = ${dom0Scale}
[]
[]
[BCs]
## Potential boundary conditions ##
[potential_left]
type = NeumannCircuitVoltageMoles_KV
variable = potential
boundary = left
function = potential_bc_func
ions = Arp
data_provider = data_provider
electrons = em
electron_energy = mean_en
r = 0
position_units = ${dom0Scale}
emission_coeffs = 0.02
[]
[potential_dirichlet_right]
type = DirichletBC
variable = potential
boundary = right
value = 0
[]
## Electron boundary conditions ##
[Emission_left]
type = SchottkyEmissionBC
# type = SecondaryElectronBC
variable = em
boundary = 'left'
ions = Arp
electron_energy = mean_en
r = 1
position_units = ${dom0Scale}
# tau = 10E-6
relax = true
emission_coeffs = 0.02
[]
# [em_physical_left]
# type = HagelaarElectronBC
# variable = em
# boundary = 'left'
# electron_energy = mean_en
# r = 0
# position_units = ${dom0Scale}
# []
[em_physical_right]
type = HagelaarElectronAdvectionBC
variable = em
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Argon boundary conditions ##
[Arp_physical_left_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_left_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = 'left'
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_diffusion]
type = HagelaarIonDiffusionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
[Arp_physical_right_advection]
type = HagelaarIonAdvectionBC
variable = Arp
boundary = right
r = 0
position_units = ${dom0Scale}
[]
## Mean energy boundary conditions ##
[mean_en_physical_left]
type = HagelaarEnergyBC
variable = mean_en
boundary = 'left'
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[mean_en_physical_right]
type = HagelaarEnergyBC
variable = mean_en
boundary = right
electrons = em
r = 0
position_units = ${dom0Scale}
[]
[]
[ICs]
[potential_ic]
type = FunctionIC
variable = potential
function = potential_ic_func
[]
[em_ic]
type = ConstantIC
variable = em
value = -30
block = 0
[]
[Arp_ic]
type = ConstantIC
variable = Arp
value = -30
block = 0
[]
[mean_en_ic]
type = ConstantIC
variable = mean_en
value = -29
block = 0
[]
[]
[Functions]
[potential_bc_func]
type = ParsedFunction
symbol_names = 'VHigh'
symbol_values = '${vhigh}'
expression = 'VHigh'
[]
[potential_ic_func]
type = ParsedFunction
expression = '-${vhigh} * (${dom0Size} - x) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]