FVOneVarDiffusionInterface

Computes residual for diffusion operator across an interface for finite volume method.

This class is only meant to be used with a single variable, e.g. the variable1 parameter should be provided but not variable2. coeff1 should correspond to the diffusion or conductivity coefficient on the subdomain1 side of the boundary while coeff2 corresponds to subdomain2. The gradient of variable1 is based on Green-Gauss computations of the gradient at the adjoining element centroids followed by linear interpolation to the face plus a non-orthogonal correction. The diffusion/conductivity coefficient at the interface is computed using linear interpolation of the coeff1 and coeff2 values. This discretization scheme is O(h) accurate.

Example input file syntax

[FVInterfaceKernels]
  [interface]
    type = FVOneVarDiffusionInterface
    variable1 = u
    boundary = primary_interface
    subdomain1 = '0'
    subdomain2 = '1'
    coeff1 = 'left'
    coeff2 = 'right'
    coeff_interp_method = average
  []
[]

Input Parameters

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
coeff1The diffusion coefficient on the 1st subdomains
C++ Type:MaterialPropertyName
Controllable:No
Description:The diffusion coefficient on the 1st subdomains
coeff2The diffusion coefficient on the 2nd subdomains
C++ Type:MaterialPropertyName
Controllable:No
Description:The diffusion coefficient on the 2nd subdomains
subdomain1The subdomains on the 1st side of the boundary.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The subdomains on the 1st side of the boundary.
subdomain2The subdomains on the 2nd side of the boundary.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The subdomains on the 2nd side of the boundary.
variable1The name of the first variable that this interface kernel applies to
C++ Type:NonlinearVariableName
Controllable:No
Description:The name of the first variable that this interface kernel applies to

Required Parameters

coeff_interp_methodharmonicSwitch that can select face interpolation method for diffusion coefficients.
Default:harmonic
C++ Type:MooseEnum
Options:average, harmonic
Controllable:No
Description:Switch that can select face interpolation method for diffusion coefficients.
displacementsThe displacements
C++ Type:std::vector<VariableName>
Controllable:No
Description:The displacements
execute_onLINEARThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
Default:LINEAR
C++ Type:ExecFlagEnum
Options:NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM
Controllable:No
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
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.
variable2The name of the second variable that this interface kernel applies to. If not supplied, variable1 will be used.
C++ Type:NonlinearVariableName
Controllable:No
Description:The name of the second variable that this interface kernel applies to. If not supplied, variable1 will be used.

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.
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
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

ghost_layers2The number of layers of elements to ghost.
Default:2
C++ Type:unsigned short
Controllable:No
Description:The number of layers of elements to ghost.
use_point_neighborsFalseWhether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.

Parallel Ghosting Parameters

(moose/test/tests/fviks/one-var-diffusion/test.i)

L = 2
l = 1
q1 = 1
q2 = 2
uR = 1
D1 = 1
D2 = 2

ul = '${fparse 1/D2*(D2*uR+q2*L*L/2-q2*l*l/2-l*(q2-q1)*L+l*l*(q2-q1))}'

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
    xmax = ${L}
  []
  [subdomain1]
    input = gen
    type = SubdomainBoundingBoxGenerator
    bottom_left = '${l} 0 0'
    block_id = 1
    top_right = '${L} 1.0 0'
  []
  [interface_primary_side]
    input = subdomain1
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = '0'
    paired_block = '1'
    new_boundary = 'primary_interface'
  []
  [interface_secondary_side]
    input = interface_primary_side
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = '1'
    paired_block = '0'
    new_boundary = 'secondary_interface'
  []
[]

[Variables]
  [u]
    type = MooseVariableFVReal
  []
  [v]
    type = MooseVariableFVReal
    block = 0
  []
  [w]
    type = MooseVariableFVReal
    block = 1
  []
[]

[FVKernels]
  [diff_left]
    type = FVDiffusion
    variable = u
    coeff = 'left'
    block = 0
  []
  [diff_right]
    type = FVDiffusion
    variable = u
    coeff = 'right'
    block = 1
  []
  [source_left]
    type = FVBodyForce
    variable = u
    function = ${q1}
    block = 0
  []
  [source_right]
    type = FVBodyForce
    variable = u
    function = ${q2}
    block = 1
  []
  [diff_v]
    type = FVDiffusion
    variable = v
    block = 0
    coeff = 'left'
  []
  [diff_w]
    type = FVDiffusion
    variable = w
    block = 1
    coeff = 'right'
  []
[]

[FVInterfaceKernels]
  active = 'interface'
  [interface]
    type = FVOneVarDiffusionInterface
    variable1 = u
    boundary = primary_interface
    subdomain1 = '0'
    subdomain2 = '1'
    coeff1 = 'left'
    coeff2 = 'right'
    coeff_interp_method = average
  []
  [bad1]
    type = FVOneVarDiffusionInterface
    variable1 = w
    variable2 = u
    boundary = primary_interface
    subdomain1 = '0'
    subdomain2 = '1'
    coeff1 = 'left'
    coeff2 = 'right'
    coeff_interp_method = average
  []
  [bad2]
    type = FVOneVarDiffusionInterface
    variable1 = u
    variable2 = v
    boundary = primary_interface
    subdomain1 = '0'
    subdomain2 = '1'
    coeff1 = 'left'
    coeff2 = 'right'
    coeff_interp_method = average
  []
  [bad3]
    type = FVOneVarDiffusionInterface
    variable1 = v
    boundary = primary_interface
    subdomain1 = '0'
    subdomain2 = '1'
    coeff1 = 'left'
    coeff2 = 'right'
    coeff_interp_method = average
  []
[]

[FVBCs]
  [right]
    type = FVDirichletBC
    variable = u
    boundary = 'right'
    value = ${uR}
  []
  [v_left]
    type = FVDirichletBC
    variable = v
    boundary = 'left'
    value = 1
  []
  [v_right]
    type = FVDirichletBC
    variable = v
    boundary = 'primary_interface'
    value = 0
  []
  [w_left]
    type = FVDirichletBC
    variable = w
    boundary = 'secondary_interface'
    value = 1
  []
  [w_right]
    type = FVDirichletBC
    variable = w
    boundary = 'right'
    value = 0
  []
[]

[Materials]
  [block0]
    type = ADGenericFunctorMaterial
    block = '0'
    prop_names = 'left'
    prop_values = '${D1}'
  []
  [block1]
    type = ADGenericFunctorMaterial
    block = '1'
    prop_names = 'right'
    prop_values = '${D2}'
  []
[]

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

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
  csv = true
[]

[Functions]
  [exact_u]
    type = ParsedFunction
    expression = 'if(x<${l}, 1/${D1}*(${fparse D1*ul+q1*l*l/2}-${fparse q1/2}*x*x),-1/${D2}*(${fparse -D2*ul-q2*l*l/2}+${fparse q2/2}*x*x-${fparse l*(q2-q1)}*x+${fparse l*l*(q2-q1)}))'
  []
[]

[Postprocessors]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2u]
    type = ElementL2Error
    variable = u
    function = exact_u
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]