ReactionThirdOrderLogForShootMethod

The derivative of a third order reaction term used to calculate the sensitivity variable for the shoothing method. (Densities must be in logarithmic form)

Overview

ReactionThirdOrderLogForShootMethod is the derivative of a third-order reaction term used to calculate the sensitivity variable for the shooting method. For more information on the implementation of the shooting method within Zapdos, please reference ShootMethodLog.

Example Input File Syntax

An example of how to use ReactionThirdOrderLogForShootMethod can be found in the test file Acceleration_By_Shooting_Method_SensitivityMatrix.i.

[Kernels]
  [SM_Ar*_3B_quenching]
    type = ReactionThirdOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = Ar
    w = Ar
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
    coefficient = -1
  []
[]

Input Parameters

coefficientThe stoichiometric coeffient.
C++ Type:double
Controllable:No
Description:The stoichiometric coeffient.
reactionThe full reaction equation.
C++ Type:std::string
Controllable:No
Description:The full reaction equation.
variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Controllable:No
Description:The name of the variable that this residual object operates on

Required Parameters

blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
densityThe accelerated density variable.
C++ Type:std::vector<VariableName>
Controllable:No
Description:The accelerated density variable.
displacementsThe displacements
C++ Type:std::vector<VariableName>
Controllable:No
Description:The displacements
numberThe reaction number. Optional, just for material property naming purposes. If a single reaction has multiple different rate coefficients (frequently the case when multiple species are lumped together to simplify a reaction network), this will prevent the same material property from being declared multiple times.
C++ Type:std::string
Controllable:No
Description:The reaction number. Optional, just for material property naming purposes. If a single reaction has multiple different rate coefficients (frequently the case when multiple species are lumped together to simplify a reaction network), this will prevent the same material property from being declared multiple times.
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
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.
vThe Second variable that is reacting.
C++ Type:std::vector<VariableName>
Controllable:No
Description:The Second variable that is reacting.
wThe Third variable that is reacting.
C++ Type:std::vector<VariableName>
Controllable:No
Description:The Third variable that is reacting.

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

Tagging 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 Kernel'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>
Controllable:No
Description:The name of auxiliary variables to save this Kernel'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 Kernel'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>
Controllable:No
Description:The name of auxiliary variables to save this Kernel'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
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

Input Files

(test/tests/accelerations/Acceleration_By_Shooting_Method_SensitivityMatrix.i)

(test/tests/accelerations/Acceleration_By_Shooting_Method_SensitivityMatrix.i)

dom0Scale = 25.4e-3

[GlobalParams]
  potential_units = kV
  use_moles = true
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = 'Lymberopoulos_paper.msh'
  []
  [left]
    type = SideSetsFromNormalsGenerator
    normals = '-1 0 0'
    new_boundary = 'left'
    input = file
  []
  [right]
    type = SideSetsFromNormalsGenerator
    normals = '1 0 0'
    new_boundary = 'right'
    input = left
  []
[]

[Problem]
  type = FEProblem
[]

[Variables]
  [em]
  []

  [Ar+]
  []

  [Ar*]
  []

  [mean_en]
  []

  [potential]
  []

  [SMDeriv]
  []
[]

[Kernels]
  #Electron Equations (Same as in paper)
  #Time Derivative term of electron
  [em_time_deriv]
    type = ElectronTimeDerivative
    variable = em
  []
  #Advection term of electron
  [em_advection]
    type = EFieldAdvection
    variable = em
    potential = potential
    position_units = ${dom0Scale}
  []
  #Diffusion term of electrons
  [em_diffusion]
    type = CoeffDiffusion
    variable = em
    position_units = ${dom0Scale}
  []
  #Net electron production from ionization
  [em_ionization]
    type = ADEEDFReactionLog
    variable = em
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + em + Ar+'
    coefficient = 1
  []
  #Net electron production from step-wise ionization
  [em_stepwise_ionization]
    type = ADEEDFReactionLog
    variable = em
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = 1
  []
  #Net electron production from metastable pooling
  [em_pooling]
    type = ADReactionSecondOrderLog
    variable = em
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = 1
  []

  #Argon Ion Equations (Same as in paper)
  #Time Derivative term of the ions
  [Ar+_time_deriv]
    type = ElectronTimeDerivative
    variable = Ar+
  []
  #Advection term of ions
  [Ar+_advection]
    type = EFieldAdvection
    variable = Ar+
    potential = potential
    position_units = ${dom0Scale}
  []
  [Ar+_diffusion]
    type = CoeffDiffusion
    variable = Ar+
    position_units = ${dom0Scale}
  []
  #Net ion production from ionization
  [Ar+_ionization]
    type = ADEEDFReactionLog
    variable = Ar+
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + em + Ar+'
    coefficient = 1
  []
  #Net ion production from step-wise ionization
  [Ar+_stepwise_ionization]
    type = ADEEDFReactionLog
    variable = Ar+
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = 1
  []
  #Net ion production from metastable pooling
  [Ar+_pooling]
    type = ADReactionSecondOrderLog
    variable = Ar+
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = 1
  []

  #Argon Excited Equations (Same as in paper)
  #Time Derivative term of excited Argon
  [Ar*_time_deriv]
    type = ElectronTimeDerivative
    variable = Ar*
  []
  #Diffusion term of excited Argon
  [Ar*_diffusion]
    type = CoeffDiffusion
    variable = Ar*
    position_units = ${dom0Scale}
  []
  #Net excited Argon production from excitation
  [Ar*_excitation]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + Ar*'
    coefficient = 1
  []
  #Net excited Argon loss from step-wise ionization
  [Ar*_stepwise_ionization]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = -1
  []
  #Net excited Argon loss from superelastic collisions
  [Ar*_collisions]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + Ar'
    coefficient = -1
  []
  #Net excited Argon loss from quenching to resonant
  [Ar*_quenching]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + Ar_r'
    coefficient = -1
  []
  #Net excited Argon loss from  metastable pooling
  [Ar*_pooling]
    type = ADReactionSecondOrderLog
    variable = Ar*
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = -2
    _v_eq_u = true
    _w_eq_u = true
  []
  #Net excited Argon loss from two-body quenching
  [Ar*_2B_quenching]
    type = ADReactionSecondOrderLog
    variable = Ar*
    v = Ar*
    w = Ar
    reaction = 'Ar* + Ar -> Ar + Ar'
    coefficient = -1
    _v_eq_u = true
  []
  #Net excited Argon loss from three-body quenching
  [Ar*_3B_quenching]
    type = ADReactionThirdOrderLog
    variable = Ar*
    v = Ar*
    w = Ar
    x = Ar
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
    coefficient = -1
    _v_eq_u = true
  []

  #Voltage Equations (Same as in paper)
  #Voltage term in Poissons Eqaution
  [potential_diffusion_dom0]
    type = CoeffDiffusionLin
    variable = potential
    position_units = ${dom0Scale}
  []
  #Ion term in Poissons Equation
  [Ar+_charge_source]
    type = ChargeSourceMoles_KV
    variable = potential
    charged = Ar+
  []
  #Electron term in Poissons Equation
  [em_charge_source]
    type = ChargeSourceMoles_KV
    variable = potential
    charged = em
  []

  #Since the paper uses electron temperature as a variable, the energy equation is in
  #a different form but should be the same physics
  #Time Derivative term of electron energy
  [mean_en_time_deriv]
    type = ElectronTimeDerivative
    variable = mean_en
  []
  #Advection term of electron energy
  [mean_en_advection]
    type = EFieldAdvection
    variable = mean_en
    potential = potential
    position_units = ${dom0Scale}
  []
  #Diffusion term of electrons energy
  [mean_en_diffusion]
    type = CoeffDiffusion
    variable = mean_en
    position_units = ${dom0Scale}
  []
  #Joule Heating term
  [mean_en_joule_heating]
    type = JouleHeating
    variable = mean_en
    potential = potential
    em = em
    position_units = ${dom0Scale}
  []
  #Energy loss from ionization
  [Ionization_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + em + Ar+'
    threshold_energy = -15.7
  []
  #Energy loss from excitation
  [Excitation_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + Ar*'
    threshold_energy = -11.56
  []
  #Energy loss from step-wise ionization
  [Stepwise_Ionization_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    threshold_energy = -4.14
  []
  #Energy gain from superelastic collisions
  [Collisions_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + Ar'
    threshold_energy = 11.56
  []

  #Argon Excited Equations For Shooting Method
  #Time Derivative term of excited Argon
  [SM_Ar*_time_deriv]
    type = TimeDerivative
    variable = SMDeriv
  []
  #Diffusion term of excited Argon
  [SM_Ar*_diffusion]
    type = CoeffDiffusionForShootMethod
    variable = SMDeriv
    density = Ar*
    position_units = ${dom0Scale}
  []
  #Net excited Argon loss from step-wise ionization
  [SM_Ar*_stepwise_ionization]
    type = EEDFReactionLogForShootMethod
    variable = SMDeriv
    density = Ar*
    electron = em
    energy = mean_en
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = -1
  []
  #Net excited Argon loss from superelastic collisions
  [SM_Ar*_collisions]
    type = EEDFReactionLogForShootMethod
    variable = SMDeriv
    density = Ar*
    electron = em
    energy = mean_en
    reaction = 'em + Ar* -> em + Ar'
    coefficient = -1
  []
  #Net excited Argon loss from quenching to resonant
  [SM_Ar*_quenching]
    type = ReactionSecondOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = em
    reaction = 'em + Ar* -> em + Ar_r'
    coefficient = -1
  []
  #Net excited Argon loss from  metastable pooling
  [SM_Ar*_pooling]
    type = ReactionSecondOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = -2
  []
  #Net excited Argon loss from two-body quenching
  [SM_Ar*_2B_quenching]
    type = ReactionSecondOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = Ar
    reaction = 'Ar* + Ar -> Ar + Ar'
    coefficient = -1
  []
  #Net excited Argon loss from three-body quenching
  [SM_Ar*_3B_quenching]
    type = ReactionThirdOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = Ar
    w = Ar
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
    coefficient = -1
  []
[]

[AuxVariables]
  [emDeBug]
  []
  [Ar+_DeBug]
  []
  [Ar*_DeBug]
  []
  [mean_enDeBug]
  []

  [Te]
    order = CONSTANT
    family = MONOMIAL
  []

  [x]
    order = CONSTANT
    family = MONOMIAL
  []

  [x_node]
  []

  [rho]
    order = CONSTANT
    family = MONOMIAL
  []

  [em_lin]
    order = CONSTANT
    family = MONOMIAL
  []

  [Ar+_lin]
    order = CONSTANT
    family = MONOMIAL
  []

  [Ar*_lin]
    order = CONSTANT
    family = MONOMIAL
  []

  [Ar]
  []

  [Efield]
    order = CONSTANT
    family = MONOMIAL
  []

  [Current_em]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [Current_Ar]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [emRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [exRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [swRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [deexRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [quRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [poolRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [TwoBRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [ThreeBRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
[]

[AuxKernels]
  [emDeBug]
    type = DebugResidualAux
    variable = emDeBug
    debug_variable = em
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []
  [Ar+_DeBug]
    type = DebugResidualAux
    variable = Ar+_DeBug
    debug_variable = Ar+
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []
  [mean_enDeBug]
    type = DebugResidualAux
    variable = mean_enDeBug
    debug_variable = mean_en
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []
  [Ar*_DeBug]
    type = DebugResidualAux
    variable = Ar*_DeBug
    debug_variable = Ar*
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []

  [emRate]
    type = ADProcRateForRateCoeff
    variable = emRate
    v = em
    w = Ar
    reaction = 'em + Ar -> em + em + Ar+'
  []
  [exRate]
    type = ADProcRateForRateCoeff
    variable = exRate
    v = em
    w = Ar*
    reaction = 'em + Ar -> em + Ar*'
  []
  [swRate]
    type = ADProcRateForRateCoeff
    variable = swRate
    v = em
    w = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
  []
  [deexRate]
    type = ADProcRateForRateCoeff
    variable = deexRate
    v = em
    w = Ar*
    reaction = 'em + Ar* -> em + Ar'
  []
  [quRate]
    type = ADProcRateForRateCoeff
    variable = quRate
    v = em
    w = Ar*
    reaction = 'em + Ar* -> em + Ar_r'
  []
  [poolRate]
    type = ADProcRateForRateCoeff
    variable = poolRate
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
  []
  [TwoBRate]
    type = ADProcRateForRateCoeff
    variable = TwoBRate
    v = Ar*
    w = Ar
    reaction = 'Ar* + Ar -> Ar + Ar'
  []
  [ThreeBRate]
    type = ADProcRateForRateCoeffThreeBody
    variable = ThreeBRate
    v = Ar*
    w = Ar
    x = Ar
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
  []
  [Te]
    type = ElectronTemperature
    variable = Te
    electron_density = em
    mean_en = mean_en
  []
  [x_g]
    type = Position
    variable = x
    position_units = ${dom0Scale}
  []

  [x_ng]
    type = Position
    variable = x_node
    position_units = ${dom0Scale}
  []

  [em_lin]
    type = DensityMoles
    variable = em_lin
    density_log = em
  []
  [Ar+_lin]
    type = DensityMoles
    variable = Ar+_lin
    density_log = Ar+
  []
  [Ar*_lin]
    type = DensityMoles
    variable = Ar*_lin
    density_log = Ar*
  []

  [Ar_val]
    type = ConstantAux
    variable = Ar
    # value = 3.22e22
    value = -2.928623
    execute_on = INITIAL
  []

  [Efield_calc]
    type = Efield
    component = 0
    potential = potential
    variable = Efield
    position_units = ${dom0Scale}
  []
  [Current_em]
    type = ADCurrent
    potential = potential
    density_log = em
    variable = Current_em
    art_diff = false
    block = 0
    position_units = ${dom0Scale}
  []
  [Current_Ar]
    type = ADCurrent
    potential = potential
    density_log = Ar+
    variable = Current_Ar
    art_diff = false
    block = 0
    position_units = ${dom0Scale}
  []
[]

[BCs]
  #Voltage Boundary Condition, same as in paper
  [potential_left]
    type = FunctionDirichletBC
    variable = potential
    boundary = 'left'
    function = potential_bc_func
    preset = false
  []
  [potential_dirichlet_right]
    type = DirichletBC
    variable = potential
    boundary = 'right'
    value = 0
    preset = false
  []

  #New Boundary conditions for electons, same as in paper
  [em_physical_right]
    type = LymberopoulosElectronBC
    variable = em
    boundary = 'right'
    emission_coeffs = 0.01
    #gamma = 1
    ks = 1.19e5
    #ks = 0.0
    ions = Ar+
    potential = potential
    position_units = ${dom0Scale}
  []
  [em_physical_left]
    type = LymberopoulosElectronBC
    variable = em
    boundary = 'left'
    emission_coeffs = 0.01
    #gamma = 1
    ks = 1.19e5
    #ks = 0.0
    ions = Ar+
    potential = potential
    position_units = ${dom0Scale}
  []

  #New Boundary conditions for ions, should be the same as in paper
  [Ar+_physical_right_advection]
    type = LymberopoulosIonBC
    variable = Ar+
    potential = potential
    boundary = 'right'
    position_units = ${dom0Scale}
  []
  [Ar+_physical_left_advection]
    type = LymberopoulosIonBC
    variable = Ar+
    potential = potential
    boundary = 'left'
    position_units = ${dom0Scale}
  []

  #New Boundary conditions for ions, should be the same as in paper
  #(except the metastables are not set to zero, since Zapdos uses log form)
  [Ar*_physical_right_diffusion]
    type = LogDensityDirichletBC
    variable = Ar*
    boundary = 'right'
    value = 1e-5
  []
  [Ar*_physical_left_diffusion]
    type = LogDensityDirichletBC
    variable = Ar*
    boundary = 'left'
    value = 1e-5
  []

  #New Boundary conditions for mean energy, should be the same as in paper
  [mean_en_physical_right]
    type = ElectronTemperatureDirichletBC
    variable = mean_en
    electrons = em
    value = 0.5
    boundary = 'right'
  []
  [mean_en_physical_left]
    type = ElectronTemperatureDirichletBC
    variable = mean_en
    electrons = em
    value = 0.5
    boundary = 'left'
  []

[]

[Functions]
  [potential_bc_func]
    type = ParsedFunction
    expression = '0.100*sin(2*pi*13.56e6*t)'
  []
[]

[Materials]
  [GasBasics]
    type = GasElectronMoments
    interp_trans_coeffs = false
    interp_elastic_coeff = false
    ramp_trans_coeffs = false
    user_p_gas = 133.322
    em = em
    potential = potential
    mean_en = mean_en
    user_electron_mobility = 30.0
    user_electron_diffusion_coeff = 119.8757763975
    property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
  []
  [gas_species_0]
    type = ADHeavySpecies
    heavy_species_name = Ar+
    heavy_species_mass = 6.64e-26
    heavy_species_charge = 1.0
    mobility = 0.144409938
    diffusivity = 6.428571e-3
  []
  [gas_species_1]
    type = ADHeavySpecies
    heavy_species_name = Ar*
    heavy_species_mass = 6.64e-26
    heavy_species_charge = 0.0
    diffusivity = 7.515528e-3
  []
  [gas_species_2]
    type = ADHeavySpecies
    heavy_species_name = Ar
    heavy_species_mass = 6.64e-26
    heavy_species_charge = 0.0
  []
  [reaction_0]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + Ar*.txt'
    reaction = 'em + Ar -> em + Ar*'
    electrons = em
  []
  [reaction_1]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + em + Ar+.txt'
    reaction = 'em + Ar -> em + em + Ar+'
    electrons = em
  []
  [reaction_2]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + Ar.txt'
    reaction = 'em + Ar* -> em + Ar'
    electrons = em
  []
  [reaction_3]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + em + Ar+.txt'
    reaction = 'em + Ar* -> em + em + Ar+'
    electrons = em
  []
  [reaction_4]
    type = ADGenericRateConstant
    reaction = 'em + Ar* -> em + Ar_r'
    #reaction_rate_value = 2e-13
    reaction_rate_value = 1.2044e11
  []
  [reaction_5]
    type = ADGenericRateConstant
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    #reaction_rate_value = 6.2e-16
    reaction_rate_value = 373364000
  []
  [reaction_6]
    type = ADGenericRateConstant
    reaction = 'Ar* + Ar -> Ar + Ar'
    #reaction_rate_value = 3e-21
    reaction_rate_value = 1806.6
  []
  [reaction_7]
    type = ADGenericRateConstant
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
    #reaction_rate_value = 1.1e-43
    reaction_rate_value = 39890.9324
  []
[]

#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
  [InversePlasmaFreq]
    type = PlasmaFrequencyInverse
    variable = em
    use_moles = true
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Preconditioning]
  active = 'smp'
  [smp]
    type = SMP
    full = true
  []

  [fdp]
    type = FDP
    full = true
  []
[]

[Executioner]
  type = Transient
  end_time = 73.74631268e-9
  petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
  petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
  nl_rel_tol = 1e-08
  #nl_abs_tol = 7.6e-5 #Commit out do to test falure on Mac
  dtmin = 1e-14
  l_max_its = 20

  scheme = bdf2
  dt = 1e-9
[]

[Outputs]
  perf_graph = true
  [out]
    type = Exodus
  []
[]

(test/tests/accelerations/Acceleration_By_Shooting_Method_SensitivityMatrix.i)

dom0Scale = 25.4e-3

[GlobalParams]
  potential_units = kV
  use_moles = true
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = 'Lymberopoulos_paper.msh'
  []
  [left]
    type = SideSetsFromNormalsGenerator
    normals = '-1 0 0'
    new_boundary = 'left'
    input = file
  []
  [right]
    type = SideSetsFromNormalsGenerator
    normals = '1 0 0'
    new_boundary = 'right'
    input = left
  []
[]

[Problem]
  type = FEProblem
[]

[Variables]
  [em]
  []

  [Ar+]
  []

  [Ar*]
  []

  [mean_en]
  []

  [potential]
  []

  [SMDeriv]
  []
[]

[Kernels]
  #Electron Equations (Same as in paper)
  #Time Derivative term of electron
  [em_time_deriv]
    type = ElectronTimeDerivative
    variable = em
  []
  #Advection term of electron
  [em_advection]
    type = EFieldAdvection
    variable = em
    potential = potential
    position_units = ${dom0Scale}
  []
  #Diffusion term of electrons
  [em_diffusion]
    type = CoeffDiffusion
    variable = em
    position_units = ${dom0Scale}
  []
  #Net electron production from ionization
  [em_ionization]
    type = ADEEDFReactionLog
    variable = em
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + em + Ar+'
    coefficient = 1
  []
  #Net electron production from step-wise ionization
  [em_stepwise_ionization]
    type = ADEEDFReactionLog
    variable = em
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = 1
  []
  #Net electron production from metastable pooling
  [em_pooling]
    type = ADReactionSecondOrderLog
    variable = em
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = 1
  []

  #Argon Ion Equations (Same as in paper)
  #Time Derivative term of the ions
  [Ar+_time_deriv]
    type = ElectronTimeDerivative
    variable = Ar+
  []
  #Advection term of ions
  [Ar+_advection]
    type = EFieldAdvection
    variable = Ar+
    potential = potential
    position_units = ${dom0Scale}
  []
  [Ar+_diffusion]
    type = CoeffDiffusion
    variable = Ar+
    position_units = ${dom0Scale}
  []
  #Net ion production from ionization
  [Ar+_ionization]
    type = ADEEDFReactionLog
    variable = Ar+
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + em + Ar+'
    coefficient = 1
  []
  #Net ion production from step-wise ionization
  [Ar+_stepwise_ionization]
    type = ADEEDFReactionLog
    variable = Ar+
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = 1
  []
  #Net ion production from metastable pooling
  [Ar+_pooling]
    type = ADReactionSecondOrderLog
    variable = Ar+
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = 1
  []

  #Argon Excited Equations (Same as in paper)
  #Time Derivative term of excited Argon
  [Ar*_time_deriv]
    type = ElectronTimeDerivative
    variable = Ar*
  []
  #Diffusion term of excited Argon
  [Ar*_diffusion]
    type = CoeffDiffusion
    variable = Ar*
    position_units = ${dom0Scale}
  []
  #Net excited Argon production from excitation
  [Ar*_excitation]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + Ar*'
    coefficient = 1
  []
  #Net excited Argon loss from step-wise ionization
  [Ar*_stepwise_ionization]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = -1
  []
  #Net excited Argon loss from superelastic collisions
  [Ar*_collisions]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + Ar'
    coefficient = -1
  []
  #Net excited Argon loss from quenching to resonant
  [Ar*_quenching]
    type = ADEEDFReactionLog
    variable = Ar*
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + Ar_r'
    coefficient = -1
  []
  #Net excited Argon loss from  metastable pooling
  [Ar*_pooling]
    type = ADReactionSecondOrderLog
    variable = Ar*
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = -2
    _v_eq_u = true
    _w_eq_u = true
  []
  #Net excited Argon loss from two-body quenching
  [Ar*_2B_quenching]
    type = ADReactionSecondOrderLog
    variable = Ar*
    v = Ar*
    w = Ar
    reaction = 'Ar* + Ar -> Ar + Ar'
    coefficient = -1
    _v_eq_u = true
  []
  #Net excited Argon loss from three-body quenching
  [Ar*_3B_quenching]
    type = ADReactionThirdOrderLog
    variable = Ar*
    v = Ar*
    w = Ar
    x = Ar
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
    coefficient = -1
    _v_eq_u = true
  []

  #Voltage Equations (Same as in paper)
  #Voltage term in Poissons Eqaution
  [potential_diffusion_dom0]
    type = CoeffDiffusionLin
    variable = potential
    position_units = ${dom0Scale}
  []
  #Ion term in Poissons Equation
  [Ar+_charge_source]
    type = ChargeSourceMoles_KV
    variable = potential
    charged = Ar+
  []
  #Electron term in Poissons Equation
  [em_charge_source]
    type = ChargeSourceMoles_KV
    variable = potential
    charged = em
  []

  #Since the paper uses electron temperature as a variable, the energy equation is in
  #a different form but should be the same physics
  #Time Derivative term of electron energy
  [mean_en_time_deriv]
    type = ElectronTimeDerivative
    variable = mean_en
  []
  #Advection term of electron energy
  [mean_en_advection]
    type = EFieldAdvection
    variable = mean_en
    potential = potential
    position_units = ${dom0Scale}
  []
  #Diffusion term of electrons energy
  [mean_en_diffusion]
    type = CoeffDiffusion
    variable = mean_en
    position_units = ${dom0Scale}
  []
  #Joule Heating term
  [mean_en_joule_heating]
    type = JouleHeating
    variable = mean_en
    potential = potential
    em = em
    position_units = ${dom0Scale}
  []
  #Energy loss from ionization
  [Ionization_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + em + Ar+'
    threshold_energy = -15.7
  []
  #Energy loss from excitation
  [Excitation_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar
    reaction = 'em + Ar -> em + Ar*'
    threshold_energy = -11.56
  []
  #Energy loss from step-wise ionization
  [Stepwise_Ionization_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
    threshold_energy = -4.14
  []
  #Energy gain from superelastic collisions
  [Collisions_Loss]
    type = ADEEDFEnergyLog
    variable = mean_en
    electrons = em
    target = Ar*
    reaction = 'em + Ar* -> em + Ar'
    threshold_energy = 11.56
  []

  #Argon Excited Equations For Shooting Method
  #Time Derivative term of excited Argon
  [SM_Ar*_time_deriv]
    type = TimeDerivative
    variable = SMDeriv
  []
  #Diffusion term of excited Argon
  [SM_Ar*_diffusion]
    type = CoeffDiffusionForShootMethod
    variable = SMDeriv
    density = Ar*
    position_units = ${dom0Scale}
  []
  #Net excited Argon loss from step-wise ionization
  [SM_Ar*_stepwise_ionization]
    type = EEDFReactionLogForShootMethod
    variable = SMDeriv
    density = Ar*
    electron = em
    energy = mean_en
    reaction = 'em + Ar* -> em + em + Ar+'
    coefficient = -1
  []
  #Net excited Argon loss from superelastic collisions
  [SM_Ar*_collisions]
    type = EEDFReactionLogForShootMethod
    variable = SMDeriv
    density = Ar*
    electron = em
    energy = mean_en
    reaction = 'em + Ar* -> em + Ar'
    coefficient = -1
  []
  #Net excited Argon loss from quenching to resonant
  [SM_Ar*_quenching]
    type = ReactionSecondOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = em
    reaction = 'em + Ar* -> em + Ar_r'
    coefficient = -1
  []
  #Net excited Argon loss from  metastable pooling
  [SM_Ar*_pooling]
    type = ReactionSecondOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    coefficient = -2
  []
  #Net excited Argon loss from two-body quenching
  [SM_Ar*_2B_quenching]
    type = ReactionSecondOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = Ar
    reaction = 'Ar* + Ar -> Ar + Ar'
    coefficient = -1
  []
  #Net excited Argon loss from three-body quenching
  [SM_Ar*_3B_quenching]
    type = ReactionThirdOrderLogForShootMethod
    variable = SMDeriv
    density = Ar*
    v = Ar
    w = Ar
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
    coefficient = -1
  []
[]

[AuxVariables]
  [emDeBug]
  []
  [Ar+_DeBug]
  []
  [Ar*_DeBug]
  []
  [mean_enDeBug]
  []

  [Te]
    order = CONSTANT
    family = MONOMIAL
  []

  [x]
    order = CONSTANT
    family = MONOMIAL
  []

  [x_node]
  []

  [rho]
    order = CONSTANT
    family = MONOMIAL
  []

  [em_lin]
    order = CONSTANT
    family = MONOMIAL
  []

  [Ar+_lin]
    order = CONSTANT
    family = MONOMIAL
  []

  [Ar*_lin]
    order = CONSTANT
    family = MONOMIAL
  []

  [Ar]
  []

  [Efield]
    order = CONSTANT
    family = MONOMIAL
  []

  [Current_em]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [Current_Ar]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [emRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [exRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [swRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [deexRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [quRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [poolRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [TwoBRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [ThreeBRate]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
[]

[AuxKernels]
  [emDeBug]
    type = DebugResidualAux
    variable = emDeBug
    debug_variable = em
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []
  [Ar+_DeBug]
    type = DebugResidualAux
    variable = Ar+_DeBug
    debug_variable = Ar+
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []
  [mean_enDeBug]
    type = DebugResidualAux
    variable = mean_enDeBug
    debug_variable = mean_en
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []
  [Ar*_DeBug]
    type = DebugResidualAux
    variable = Ar*_DeBug
    debug_variable = Ar*
    #execute_on = 'LINEAR NONLINEAR TIMESTEP_BEGIN'
  []

  [emRate]
    type = ADProcRateForRateCoeff
    variable = emRate
    v = em
    w = Ar
    reaction = 'em + Ar -> em + em + Ar+'
  []
  [exRate]
    type = ADProcRateForRateCoeff
    variable = exRate
    v = em
    w = Ar*
    reaction = 'em + Ar -> em + Ar*'
  []
  [swRate]
    type = ADProcRateForRateCoeff
    variable = swRate
    v = em
    w = Ar*
    reaction = 'em + Ar* -> em + em + Ar+'
  []
  [deexRate]
    type = ADProcRateForRateCoeff
    variable = deexRate
    v = em
    w = Ar*
    reaction = 'em + Ar* -> em + Ar'
  []
  [quRate]
    type = ADProcRateForRateCoeff
    variable = quRate
    v = em
    w = Ar*
    reaction = 'em + Ar* -> em + Ar_r'
  []
  [poolRate]
    type = ADProcRateForRateCoeff
    variable = poolRate
    v = Ar*
    w = Ar*
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
  []
  [TwoBRate]
    type = ADProcRateForRateCoeff
    variable = TwoBRate
    v = Ar*
    w = Ar
    reaction = 'Ar* + Ar -> Ar + Ar'
  []
  [ThreeBRate]
    type = ADProcRateForRateCoeffThreeBody
    variable = ThreeBRate
    v = Ar*
    w = Ar
    x = Ar
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
  []
  [Te]
    type = ElectronTemperature
    variable = Te
    electron_density = em
    mean_en = mean_en
  []
  [x_g]
    type = Position
    variable = x
    position_units = ${dom0Scale}
  []

  [x_ng]
    type = Position
    variable = x_node
    position_units = ${dom0Scale}
  []

  [em_lin]
    type = DensityMoles
    variable = em_lin
    density_log = em
  []
  [Ar+_lin]
    type = DensityMoles
    variable = Ar+_lin
    density_log = Ar+
  []
  [Ar*_lin]
    type = DensityMoles
    variable = Ar*_lin
    density_log = Ar*
  []

  [Ar_val]
    type = ConstantAux
    variable = Ar
    # value = 3.22e22
    value = -2.928623
    execute_on = INITIAL
  []

  [Efield_calc]
    type = Efield
    component = 0
    potential = potential
    variable = Efield
    position_units = ${dom0Scale}
  []
  [Current_em]
    type = ADCurrent
    potential = potential
    density_log = em
    variable = Current_em
    art_diff = false
    block = 0
    position_units = ${dom0Scale}
  []
  [Current_Ar]
    type = ADCurrent
    potential = potential
    density_log = Ar+
    variable = Current_Ar
    art_diff = false
    block = 0
    position_units = ${dom0Scale}
  []
[]

[BCs]
  #Voltage Boundary Condition, same as in paper
  [potential_left]
    type = FunctionDirichletBC
    variable = potential
    boundary = 'left'
    function = potential_bc_func
    preset = false
  []
  [potential_dirichlet_right]
    type = DirichletBC
    variable = potential
    boundary = 'right'
    value = 0
    preset = false
  []

  #New Boundary conditions for electons, same as in paper
  [em_physical_right]
    type = LymberopoulosElectronBC
    variable = em
    boundary = 'right'
    emission_coeffs = 0.01
    #gamma = 1
    ks = 1.19e5
    #ks = 0.0
    ions = Ar+
    potential = potential
    position_units = ${dom0Scale}
  []
  [em_physical_left]
    type = LymberopoulosElectronBC
    variable = em
    boundary = 'left'
    emission_coeffs = 0.01
    #gamma = 1
    ks = 1.19e5
    #ks = 0.0
    ions = Ar+
    potential = potential
    position_units = ${dom0Scale}
  []

  #New Boundary conditions for ions, should be the same as in paper
  [Ar+_physical_right_advection]
    type = LymberopoulosIonBC
    variable = Ar+
    potential = potential
    boundary = 'right'
    position_units = ${dom0Scale}
  []
  [Ar+_physical_left_advection]
    type = LymberopoulosIonBC
    variable = Ar+
    potential = potential
    boundary = 'left'
    position_units = ${dom0Scale}
  []

  #New Boundary conditions for ions, should be the same as in paper
  #(except the metastables are not set to zero, since Zapdos uses log form)
  [Ar*_physical_right_diffusion]
    type = LogDensityDirichletBC
    variable = Ar*
    boundary = 'right'
    value = 1e-5
  []
  [Ar*_physical_left_diffusion]
    type = LogDensityDirichletBC
    variable = Ar*
    boundary = 'left'
    value = 1e-5
  []

  #New Boundary conditions for mean energy, should be the same as in paper
  [mean_en_physical_right]
    type = ElectronTemperatureDirichletBC
    variable = mean_en
    electrons = em
    value = 0.5
    boundary = 'right'
  []
  [mean_en_physical_left]
    type = ElectronTemperatureDirichletBC
    variable = mean_en
    electrons = em
    value = 0.5
    boundary = 'left'
  []

[]

[Functions]
  [potential_bc_func]
    type = ParsedFunction
    expression = '0.100*sin(2*pi*13.56e6*t)'
  []
[]

[Materials]
  [GasBasics]
    type = GasElectronMoments
    interp_trans_coeffs = false
    interp_elastic_coeff = false
    ramp_trans_coeffs = false
    user_p_gas = 133.322
    em = em
    potential = potential
    mean_en = mean_en
    user_electron_mobility = 30.0
    user_electron_diffusion_coeff = 119.8757763975
    property_tables_file = Argon_reactions_paper_RateCoefficients/electron_moments.txt
  []
  [gas_species_0]
    type = ADHeavySpecies
    heavy_species_name = Ar+
    heavy_species_mass = 6.64e-26
    heavy_species_charge = 1.0
    mobility = 0.144409938
    diffusivity = 6.428571e-3
  []
  [gas_species_1]
    type = ADHeavySpecies
    heavy_species_name = Ar*
    heavy_species_mass = 6.64e-26
    heavy_species_charge = 0.0
    diffusivity = 7.515528e-3
  []
  [gas_species_2]
    type = ADHeavySpecies
    heavy_species_name = Ar
    heavy_species_mass = 6.64e-26
    heavy_species_charge = 0.0
  []
  [reaction_0]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + Ar*.txt'
    reaction = 'em + Ar -> em + Ar*'
    electrons = em
  []
  [reaction_1]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar -> em + em + Ar+.txt'
    reaction = 'em + Ar -> em + em + Ar+'
    electrons = em
  []
  [reaction_2]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + Ar.txt'
    reaction = 'em + Ar* -> em + Ar'
    electrons = em
  []
  [reaction_3]
    type = ADZapdosEEDFRateConstant
    mean_energy = mean_en
    property_file = 'Argon_reactions_paper_RateCoefficients/reaction_em + Ar* -> em + em + Ar+.txt'
    reaction = 'em + Ar* -> em + em + Ar+'
    electrons = em
  []
  [reaction_4]
    type = ADGenericRateConstant
    reaction = 'em + Ar* -> em + Ar_r'
    #reaction_rate_value = 2e-13
    reaction_rate_value = 1.2044e11
  []
  [reaction_5]
    type = ADGenericRateConstant
    reaction = 'Ar* + Ar* -> Ar+ + Ar + em'
    #reaction_rate_value = 6.2e-16
    reaction_rate_value = 373364000
  []
  [reaction_6]
    type = ADGenericRateConstant
    reaction = 'Ar* + Ar -> Ar + Ar'
    #reaction_rate_value = 3e-21
    reaction_rate_value = 1806.6
  []
  [reaction_7]
    type = ADGenericRateConstant
    reaction = 'Ar* + Ar + Ar -> Ar_2 + Ar'
    #reaction_rate_value = 1.1e-43
    reaction_rate_value = 39890.9324
  []
[]

#New postprocessor that calculates the inverse of the plasma frequency
[Postprocessors]
  [InversePlasmaFreq]
    type = PlasmaFrequencyInverse
    variable = em
    use_moles = true
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Preconditioning]
  active = 'smp'
  [smp]
    type = SMP
    full = true
  []

  [fdp]
    type = FDP
    full = true
  []
[]

[Executioner]
  type = Transient
  end_time = 73.74631268e-9
  petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type -snes_linesearch_minlambda'
  petsc_options_value = 'lu NONZERO 1.e-10 fgmres 1e-3'
  nl_rel_tol = 1e-08
  #nl_abs_tol = 7.6e-5 #Commit out do to test falure on Mac
  dtmin = 1e-14
  l_max_its = 20

  scheme = bdf2
  dt = 1e-9
[]

[Outputs]
  perf_graph = true
  [out]
    type = Exodus
  []
[]

Overview
Example Input File Syntax
Input Parameters
Input Files