- 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
- currentThe postprocessor response for calculating the current passing through the needle surface.
C++ Type:UserObjectName
Controllable:No
Description:The postprocessor response for calculating the current passing through the needle surface.
- data_providerThe name of the UserObject that can provide some data to materials, bcs, etc.
C++ Type:UserObjectName
Controllable:No
Description:The name of the UserObject that can provide some data to materials, bcs, etc.
- 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.
- penaltyThe constant multiplying the penalty term.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The constant multiplying the penalty term.
- position_unitsUnits of position.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Units of position.
- potential_unitsThe potential units.
C++ Type:std::string
Controllable:No
Description:The potential units.
- resistanceThe ballast resistance in Ohms.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The ballast resistance in Ohms.
- surfaceWhether you are specifying the potential on the anode or the cathode with the requirement that the other metal surface be grounded.
C++ Type:std::string
Controllable:No
Description:Whether you are specifying the potential on the anode or the cathode with the requirement that the other metal surface be grounded.
- surface_potentialThe electrical potential applied to the surface if no current was flowing in the circuit.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The electrical potential applied to the surface if no current was flowing in the circuit.
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
PenaltyCircuitPotential
Circuit boundary condition for potential multiplied by a penalty term
Overview
PenaltyCircuitPotential is a PenaltyDirichlBC for a potential based on Kirchoff's voltage law.
The formulation of the potential at the wall is:
Where is driven the potential, is the potential at cathode, is the current density, is the cross-sectional area of the plasma, and is the ballast resistance. The current density is supplied through the CurrentDensityShapeSideUserObject.
Example Input File Syntax
[BCs]
[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}
[]
[]
Input Parameters
- areaMust be provided when the number of dimensions equals 1.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Must be provided when the number of dimensions equals 1.
- displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data 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.
- diag_save_inThe name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- 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
- save_inThe name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- 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
- skip_execution_outside_variable_domainFalseWhether to skip execution of this boundary condition when the variable it applies to is not defined on the boundary. This can facilitate setups with moving variable domains and fixed boundaries. Note that the FEProblem boundary-restricted integrity checks will also need to be turned off if using this option
Default:False
C++ Type:bool
Controllable:No
Description:Whether to skip execution of this boundary condition when the variable it applies to is not defined on the boundary. This can facilitate setups with moving variable domains and fixed boundaries. Note that the FEProblem boundary-restricted integrity checks will also need to be turned off if using this option
- 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
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/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/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) / ${dom0Size}'
[]
[]
[Materials]
[field_solver]
type = FieldSolverMaterial
potential = potential
[]
[gas_block]
type = Gas
interp_trans_coeffs = true
interp_elastic_coeff = true
ramp_trans_coeffs = false
em = em
ip = Arp
mean_en = mean_en
user_se_coeff = 0.02
user_work_function = 4.55 # eV
user_field_enhancement = 55
user_Richardson_coefficient = 80E4
user_cathode_temperature = 1273
property_tables_file = td_argon_mean_en.txt
block = 0
[]
[]
(test/tests/1d_dc/NonlocalPotentialBCWithSchottky.i)
dom0Scale = 1
dom0Size = 2E-6 #m
vhigh = 230E-3 #kV
relaxTime = 1e-9 #s
resistance = 1
area = 5.02e-7 # Formerly 3.14e-6
[GlobalParams]
potential_units = kV
use_moles = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = 'Geometry.msh'
[]
[left]
type = SideSetsFromNormalsGenerator
normals = '-1 0 0'
new_boundary = 'left'
input = file
[]
[right]
type = SideSetsFromNormalsGenerator
normals = '1 0 0'
new_boundary = 'right'
input = left
[]
[]
[Problem]
type = FEProblem
# kernel_coverage_check = false
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
# line_search = none
end_time = 10E-6
steady_state_detection = 1
steady_state_tolerance = 1E-15
steady_state_start_time = '${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
[]
[]