PenaltyInterfaceDiffusion

Overview

PenaltyInterfaceDiffusion is an interface condition that forces the variable equivalence using a penalty. At the same time, the flux equivalence is implicitly satisfied as long as no other side (interface) residual objects are present. Mathematically, it is written as follows: $var element = document.getElementById("moose-equation-665579bc-ab5f-44f2-93fe-885f0d36673f");katex.render("\\begin{aligned} & D \\frac{\\partial u}{ \\partial n} = P (u - u_{neighbor}), \\\\ & D_{neighbor} \\frac{\\partial u_{neighbor}}{ \\partial n_{neighbor}} = - P (u - u_{neighbor}). \\end{aligned}", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-8a946f46-4f6b-41f1-900f-d5717ce21f94");katex.render("D", element, {displayMode:false,throwOnError:false});$ and $var element = document.getElementById("moose-equation-a7b50490-fde9-4ee2-906f-ec1e847df625");katex.render("D_{neighbor}", element, {displayMode:false,throwOnError:false});$ are material properties for the current element and its neighbor, respectively, $var element = document.getElementById("moose-equation-c4695069-5210-4a21-8f45-c5c000d4904a");katex.render("n", element, {displayMode:false,throwOnError:false});$ and $var element = document.getElementById("moose-equation-da09906c-354f-4267-96a4-f418688c7cbe");katex.render("n_{neighbor}", element, {displayMode:false,throwOnError:false});$ are the outward normal vectors from the element and its neighbor (typically $var element = document.getElementById("moose-equation-e4aea4c0-a02f-439b-b7d4-180a7baf2d5f");katex.render("n = - n_{neighbor})", element, {displayMode:false,throwOnError:false});$ . $var element = document.getElementById("moose-equation-18c1c3b2-80b8-4563-a1eb-c774ca9fc7da");katex.render("P", element, {displayMode:false,throwOnError:false});$ is the penalty supplied in the parameter "penalty".

Example Input File Syntax

  [./penalty]
    type = PenaltyInterfaceDiffusion
    variable = v
    neighbor_var = u
    boundary = primary1_interface
    penalty = 1e3
  [../]

Input Parameters

neighbor_varThe variable on the other side of the interface.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The variable on the other side of the interface.
penaltyThe penalty that penalizes jump between primary and neighbor variables.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The penalty that penalizes jump between primary and neighbor variables.
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

boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Unit:(no unit assumed)
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
jump_prop_namethe name of the material property that calculates the jump.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:the name of the material property that calculates the jump.
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.)
diag_save_in_var_sideThis parameter must exist if diag_save_in variables are specified and must have the same length as diag_save_in. This vector specifies whether the corresponding aux_var should save-in jacobian contributions from the primary ('p') or secondary side ('s').
C++ Type:MultiMooseEnum
Unit:(no unit assumed)
Options:m, s
Controllable:No
Description:This parameter must exist if diag_save_in variables are specified and must have the same length as diag_save_in. This vector specifies whether the corresponding aux_var should save-in jacobian contributions from the primary ('p') or secondary side ('s').
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.)
save_in_var_sideThis parameter must exist if save_in variables are specified and must have the same length as save_in. This vector specifies whether the corresponding aux_var should save-in residual contributions from the primary ('p') or secondary side ('s').
C++ Type:MultiMooseEnum
Unit:(no unit assumed)
Options:m, s
Controllable:No
Description:This parameter must exist if save_in variables are specified and must have the same length as save_in. This vector specifies whether the corresponding aux_var should save-in residual contributions from the primary ('p') or secondary side ('s').
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/test/tests/interfacekernels/hybrid/interface.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    xmax = 2
    ny = 40
    ymax = 2
  []
  [subdomain1]
    input = gen
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.5 0.5 0'
    top_right = '1.5 1.5 0'
    block_id = 1
  []
  [interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = subdomain1
    primary_block = '1'
    paired_block = '0'
    new_boundary = 'primary1_interface'
  []
[]

[Variables]
  [u]
    block = 0
  []
  [v]
    block = 1
  []
[]

[Kernels]
  [diff_u]
    type = MatDiffusion
    variable = u
    diffusivity = D
    block = 0
  []
  [diff_v]
    type = MatDiffusion
    variable = v
    diffusivity = D
    block = 1
  []
  [source_u]
    type = BodyForce
    variable = u
    value = 1
    block = 0
  []
  [source_v]
    type = BodyForce
    variable = v
    value = 1
    block = 1
  []
[]

[BCs]
  [u]
    type = VacuumBC
    variable = u
    boundary = 'left bottom right top'
  []
  [interface_bc]
    type = ADMatchedValueBC
    variable = v
    v = u
    boundary = primary1_interface
  []
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
  print_linear_residuals = true
[]

[InterfaceKernels]
  active = 'diffusion'
  [./diffusion]
    type = InterfaceDiffusion
    variable = v
    neighbor_var = u
    boundary = primary1_interface
    D = 'D'
    D_neighbor = 'D'
  [../]

  [./penalty]
    type = PenaltyInterfaceDiffusion
    variable = v
    neighbor_var = u
    boundary = primary1_interface
    penalty = 1e3
  [../]
[]

[Materials]
  [mat0]
    type = GenericConstantMaterial
    prop_names = 'D'
    prop_values = '1'
    block = 0
  []
  [mat1]
    type = GenericConstantMaterial
    prop_names = 'D'
    prop_values = '1'
    block = 1
  []
[]

[AuxVariables]
  [c][]
[]

[AuxKernels]
  [u]
    type = ParsedAux
    variable = c
    coupled_variables = 'u'
    expression = 'u'
    block = 0
  []
  [v]
    type = ParsedAux
    variable = c
    coupled_variables = 'v'
    expression = 'v'
    block = 1
  []
[]

Overview
Example Input File Syntax
Input Parameters