ADMatCoupledForce

Kernel representing the contribution of the PDE term $var element = document.getElementById("moose-equation-39a78277-a5c3-4bcd-9cde-6943390a7a59");katex.render("mv", element, {displayMode:false,throwOnError:false});$ , where $var element = document.getElementById("moose-equation-b003072b-2fdb-42e6-a14c-b8ed320d1a6a");katex.render("m", element, {displayMode:false,throwOnError:false});$ is a material property coefficient, $var element = document.getElementById("moose-equation-9db2952f-50c2-4a01-af37-5e2d5335a27a");katex.render("v", element, {displayMode:false,throwOnError:false});$ is a coupled scalar field variable, and Jacobian derivatives are calculated using automatic differentiation.

Example Input File Syntax

[Kernels]
  [coupledField_real]
    type = ADMatCoupledForce
    v = u_imag
    mat_prop_coef = negative_wave_equation_coefficient_imaginary
    variable = u_real
  []
[]

Input Parameters

vThe coupled variable which provides the force
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The coupled variable which provides the force
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

Required Parameters

blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
coef1Coefficent ($\sigma$) multiplier for the coupled force term.
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Coefficent ($\sigma$) multiplier for the coupled force term.
displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
mat_prop_coef1User-supplied material property multiplier for the coupled force term.
Default:1
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:User-supplied material property multiplier for the coupled force term.
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
Unit:(no unit assumed)
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.

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>
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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

(moose/modules/electromagnetics/test/tests/kernels/scalar_complex_helmholtz/scalar_complex_helmholtz.i)

# problem: -(cu')' - k^2 * u = -F , 0 < x < L, u: R -> C
# u(x=0) = g0 , u(x=L) = gL
# k = a + jb
#     a = a(x) =  2 * (1 + x/L)
#     b = b(x) =      (1 + x/L)
# c = d + jh
#     d = d(x) = 12 * (1 + x/L)^2
#     h = h(x) =  4 * (1 + x/L)^2
# L = 10

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 10
    nx = 100
  []
[]

[Variables]
  [u_real]
    order = FIRST
    family = LAGRANGE
  []
  [u_imag]
    order = FIRST
    family = LAGRANGE
  []
[]

[Functions]
  [k_real]
    type = ParsedFunction
    expression = '2*(1 + x/10)'
  []
  [k_imag]
    type = ParsedFunction
    expression = '(1 + x/10)'
  []
  [d_func]
    type = ParsedFunction
    expression = '12 * (1 + x/10)^2'
  []
  [h_func]
    type = ParsedFunction
    expression = '4 * (1 + x/10)^2'
  []
  [negative_h_func]
    type = ParsedFunction
    expression = '-4 * (1 + x/10)^2'
  []
  [RHS_real]
    type = MMSTestFunc
    L = 10
    g0_real = 1
    g0_imag = -1
    gL_real = 0
    gL_imag = 0
    component = real
  []
  [RHS_imag]
    type = MMSTestFunc
    L = 10
    g0_real = 1
    g0_imag = -1
    gL_real = 0
    gL_imag = 0
    component = imaginary
  []
[]

[Materials]
  [k_real_mat]
    type = ADGenericFunctionMaterial
    prop_names = k_real_mat
    prop_values = k_real
  []
  [k_imag_mat]
    type = ADGenericFunctionMaterial
    prop_names = k_imag_mat
    prop_values = k_imag
  []
  [wave_equation_coefficient]
    type = WaveEquationCoefficient
    k_real = k_real_mat
    k_imag = k_imag_mat
    eps_rel_real = 1
    eps_rel_imag = 0
    mu_rel_real = 1
    mu_rel_imag = 0
  []
  [negative_wave_equation_coefficient_imaginary]
    type = ADParsedMaterial
    property_name = negative_wave_equation_coefficient_imaginary
    material_property_names = wave_equation_coefficient_imaginary
    expression = '-1 * wave_equation_coefficient_imaginary'
  []
[]

[Kernels]
  [laplacian_real]
    type = FunctionDiffusion
    function = d_func
    variable = u_real
  []
  [coupledLaplacian_real]
    type = FunctionDiffusion
    function = negative_h_func
    v = u_imag
    variable = u_real
  []
  [coeffField_real]
    type = ADMatReaction
    reaction_rate = wave_equation_coefficient_real
    variable = u_real
  []
  [coupledField_real]
    type = ADMatCoupledForce
    v = u_imag
    mat_prop_coef = negative_wave_equation_coefficient_imaginary
    variable = u_real
  []
  [bodyForce_real]
    type = BodyForce
    function = RHS_real
    variable = u_real
  []
  [laplacian_imag]
    type = FunctionDiffusion
    function = d_func
    variable = u_imag
  []
  [coupledLaplacian_imag]
    type = FunctionDiffusion
    function = h_func
    v = u_real
    variable = u_imag
  []
  [coeffField_imag]
    type = ADMatReaction
    reaction_rate = wave_equation_coefficient_real
    variable = u_imag
  []
  [coupledField_imag]
    type = ADMatCoupledForce
    v = u_real
    mat_prop_coef = wave_equation_coefficient_imaginary
    variable = u_imag
  []
  [bodyForce_imag]
    type = BodyForce
    function = RHS_imag
    variable = u_imag
  []
[]

[BCs]
  [left_real]
    type = DirichletBC
    value = 1
    boundary = left
    variable = u_real
  []
  [left_imag]
    type = DirichletBC
    value = -1
    boundary = left
    variable = u_imag
  []
  [right_real]
    type = DirichletBC
    value = 0
    boundary = right
    variable = u_real
  []
  [right_imag]
    type = DirichletBC
    value = 0
    boundary = right
    variable = u_imag
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

Example Input File Syntax
Input Parameters