- boundaryThe list of boundary IDs from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundary IDs from the mesh where this object applies
- electron_energyThe mean electron energy density in log form
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The mean electron energy density in log form
- electronsThe electron density in log form
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The electron density in log form
- ionsThe ion density in log form.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The ion density in log form.
- potentialThe electrical potential.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The electrical potential.
- use_molesFalseWhether the densities are in molar units.
Default:False
C++ Type:bool
Controllable:No
Description:Whether the densities are in molar units.
CurrentDensityShapeSideUserObject
Calculates the total current at a boundary
Overview
CurrentDensityShapeSideUserObject calculates the total current density at a boundary for a single ion species plasma, assuming the electrostatic approximation (i.e., ). The electrostatic current density is defined as:
Where:
is the total current density,
is the elemental charge,
is the mobility coefficient,
is the electrostatic potential,
is the density, and
is the diffusion coefficient,
Subscript represents the ions, and
Subscript represents the electrons.
When converting the density to molar logarithmic form, CurrentDensityShapeSideUserObject is defined as
Where:
is the molar density of the species in logarithmic form, and
is Avogadro's number.
Example Input File Syntax
[UserObjects<<<{"href": "../../syntax/UserObjects/index.html"}>>>]
[current_density_user_object]
type = CurrentDensityShapeSideUserObject<<<{"description": "Calculates the total current at a boundary", "href": "CurrentDensityShapeSideUserObject.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = left
potential<<<{"description": "The electrical potential."}>>> = potential
electrons<<<{"description": "The electron density in log form"}>>> = em
ions<<<{"description": "The ion density in log form."}>>> = Arp
electron_energy<<<{"description": "The mean electron energy density in log form"}>>> = mean_en
execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'linear nonlinear'
[]
[](test/tests/1d_dc/NonlocalPotentialBCWithSchottky.i)Input Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE, INITIAL, LINEAR, LINEAR_CONVERGENCE, NONLINEAR, NONLINEAR_CONVERGENCE, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, MULTIAPP_FIXED_POINT_CONVERGENCE, FINAL, CUSTOM, TRANSFER
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
Execution Scheduling Parameters
- compute_jacobiansTrueCompute Jacobians for coupled variables
Default:True
C++ Type:bool
Controllable:No
Description:Compute Jacobians for coupled variables
- 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.
- 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
- 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/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
electrons = em
ions = Arp
electron_energy = 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
electrons = em
variable = em
electron_energy = 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
electrons = em
electron_energy = 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
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
electrons = 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 = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
electrons = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
electrons = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
electrons = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electrons = em
electron_energy = 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 = em
block = 0
[]
[Arp_lin]
type = DensityMoles
# convert_moles = true
variable = Arp_lin
density = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density = 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
cathode_temperature = 1273
[]
# [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_electrons]
type = ElectronTransportCoefficients
interp_trans_coeffs = true
ramp_trans_coeffs = false
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_electrons.txt
p_gas = 1.01e5
[]
[gas_permittivity]
type = ElectrostaticPermittivity
potential = potential
[]
[gas_block]
type = SimplifiedArgonChemistryCoefficients
interp_elastic_coeff = true
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_chemistry.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Arp
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[gas_block_field_emission]
type = FieldEmissionCoefficients
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
block = 0
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[]
(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
electrons = em
ions = Arp
electron_energy = 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
electrons = em
variable = em
electron_energy = 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
electrons = em
electron_energy = 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
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
electrons = 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 = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
electrons = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
electrons = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
electrons = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electrons = em
electron_energy = 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 = em
block = 0
[]
[Arp_lin]
type = DensityMoles
# convert_moles = true
variable = Arp_lin
density = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density = 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
cathode_temperature = 1273
[]
# [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) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block_field_emission]
type = FieldEmissionCoefficients
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
block = 0
[]
[gas_block_electrons]
type = ElectronTransportCoefficients
interp_trans_coeffs = true
ramp_trans_coeffs = false
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_electrons.txt
p_gas = 1.01e5
[]
[gas_permittivity]
type = ElectrostaticPermittivity
potential = potential
block = 0
[]
[gas_block]
type = SimplifiedArgonChemistryCoefficients
interp_elastic_coeff = true
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_chemistry.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Arp
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[]
(test/tests/1d_dc/NonlocalPotentialBCWithSchottky.i)
dom0Scale = 1
dom0Size = 2E-6 #m
vhigh = 230E-3 #kV
relaxTime = 1e-9 #s
resistance = 1
area = 5.02e-7 # Formerly 3.14e-6
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = '${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
electrons = em
ions = Arp
electron_energy = 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
electrons = em
variable = em
electron_energy = 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
electrons = em
electron_energy = 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
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_ionization]
type = ElectronEnergyLossFromIonization
variable = mean_en
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_elastic]
type = ElectronEnergyLossFromElastic
variable = mean_en
electrons = em
block = 0
position_units = ${dom0Scale}
[]
[mean_en_excitation]
type = ElectronEnergyLossFromExcitation
variable = mean_en
electrons = 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 = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
electrons = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
electrons = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
electrons = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electrons = em
electron_energy = 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 = em
block = 0
[]
[Arp_lin]
type = DensityMoles
# convert_moles = true
variable = Arp_lin
density = Arp
block = 0
[]
[Efield_g]
type = Efield
component = 0
variable = Efield
position_units = ${dom0Scale}
block = 0
[]
[Current_em]
type = ADCurrent
density = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density = 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
cathode_temperature = 1273
[]
# [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_electrons]
type = ElectronTransportCoefficients
interp_trans_coeffs = true
ramp_trans_coeffs = false
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_electrons.txt
p_gas = 1.01e5
[]
[gas_permittivity]
type = ElectrostaticPermittivity
potential = potential
[]
[gas_block]
type = SimplifiedArgonChemistryCoefficients
interp_elastic_coeff = true
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_chemistry.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Arp
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[gas_block_field_emission]
type = FieldEmissionCoefficients
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
block = 0
[]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[]
(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
electrons = em
ions = Arp
electron_energy = 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
# electrons = em
# variable = em
# electron_energy = 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
# electrons = em
# electron_energy = 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
# electrons = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_ionization]
# type = ElectronEnergyLossFromIonization
# variable = mean_en
# electrons = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_elastic]
# type = ElectronEnergyLossFromElastic
# variable = mean_en
# electrons = em
# block = 0
# position_units = ${dom0Scale}
# []
# [mean_en_excitation]
# type = ElectronEnergyLossFromExcitation
# variable = mean_en
# electrons = 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 = em
art_diff = false
potential_units = kV
variable = PowerDep_em
position_units = ${dom0Scale}
block = 0
[]
[PowerDep_Arp]
type = ADPowerDep
density = Arp
art_diff = false
potential_units = kV
variable = PowerDep_Arp
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_el]
type = ADProcRate
electrons = em
proc = el
variable = ProcRate_el
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_ex]
type = ADProcRate
electrons = em
proc = ex
variable = ProcRate_ex
position_units = ${dom0Scale}
block = 0
[]
[ProcRate_iz]
type = ADProcRate
electrons = em
proc = iz
variable = ProcRate_iz
position_units = ${dom0Scale}
block = 0
[]
[e_temp]
type = ElectronTemperature
variable = e_temp
electrons = em
electron_energy = 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 = em
variable = Current_em
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[Current_Arp]
type = ADCurrent
density = Arp
variable = Current_Arp
art_diff = false
block = 0
position_units = ${dom0Scale}
[]
[EFieldAdvAux_em]
type = ADEFieldAdvAux
density = em
variable = EFieldAdvAux_em
block = 0
position_units = ${dom0Scale}
[]
[DiffusiveFlux_em]
type = ADDiffusiveFlux
density = 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_electrons]
type = ElectronTransportCoefficients
interp_trans_coeffs = true
ramp_trans_coeffs = false
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_electrons.txt
p_gas = 1.01e5
[]
[gas_permittivity]
type = ElectrostaticPermittivity
potential = potential
block = 0
[]
[gas_block]
type = SimplifiedArgonChemistryCoefficients
interp_elastic_coeff = true
electrons = em
electron_energy = mean_en
block = 0
property_tables_file = td_argon_chemistry.txt
[]
[gas_species_0]
type = ADHeavySpecies
heavy_species_name = Arp
heavy_species_mass = 6.64e-26
heavy_species_charge = 1.0
block = 0
[]
[]