XFEMEqualValueAtInterface

Enforce that the solution have the same value on opposing sides of an XFEM interface.

Description

The XFEMEqualValueAtInterface enforces $var element = document.getElementById("moose-equation-1b00ea6c-d7b9-4c7d-a3c9-6fae6821dc20");katex.render("u_{\\Gamma^+} = u_{\\Gamma^-}= a", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ at the interface using a penalty approach.

Example Input File Syntax

[./xfem_constraint]
  type = XFEMEqualValueAtInterface
  geometric_cut_userobject = 'line_seg_cut_uo'
  use_displaced_mesh = false
  variable = u
  value = 1
  alpha = 1e5
[../]

Input Parameters

alphaPenalty parameter in penalty formulation.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Penalty parameter in penalty formulation.
valuePrescribed value at the interface.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Prescribed value at the interface.
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

geometric_cut_userobjectName of GeometricCutUserObject associated with this constraint.
C++ Type:UserObjectName
Unit:(no unit assumed)
Controllable:No
Description:Name of GeometricCutUserObject associated with this constraint.
interface_id0The id of the interface.
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:The id of the interface.

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.
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
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

Input Files

(modules/xfem/test/tests/moving_interface/phase_transition_2d.i)
(modules/xfem/test/tests/single_var_constraint_2d/equal_value.i)
(modules/xfem/test/tests/moving_interface/phase_transition_3d.i)
(modules/xfem/test/tests/moving_interface/ad_phase_transition_2d.i)

References

No citations exist within this document.

(modules/xfem/test/tests/single_var_constraint_2d/equal_value.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 1
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.5 1.0 0.5 0.0'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[Constraints]
  [./xfem_constraint]
    type = XFEMEqualValueAtInterface
    geometric_cut_userobject = 'line_seg_cut_uo'
    use_displaced_mesh = false
    variable = u
    value = 1
    alpha = 1e5
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_u]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 1
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 0
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
[]

[Outputs]
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  perf_graph = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/xfem/test/tests/moving_interface/phase_transition_2d.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 11
    ny = 1
    xmin = 0.0
    xmax = 20.0
    ymin = 0.0
    ymax = 5.0
    elem_type = QUAD4
  []
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [velocity]
    type = XFEMPhaseTransitionMovingInterfaceVelocity
    diffusivity_at_positive_level_set = 5
    diffusivity_at_negative_level_set = 1
    equilibrium_concentration_jump = 1
    value_at_interface_uo = value_uo
  []
  [value_uo]
    type = NodeValueAtXFEMInterface
    variable = 'u'
    interface_mesh_cut_userobject = 'cut_mesh'
    execute_on = TIMESTEP_END
    level_set_var = ls
  []
  [cut_mesh]
    type = InterfaceMeshCut2DUserObject
    mesh_file = flat_interface_1d.e
    interface_velocity_uo = velocity
    heal_always = true
  []
[]

[Variables]
  [u]
  []
[]

[ICs]
  [ic_u]
    type = FunctionIC
    variable = u
    function = 'if(x<5.01, 2, 1)'
  []
[]

[AuxVariables]
  [ls]
    order = FIRST
    family = LAGRANGE
  []
[]

[Constraints]
  [u_constraint]
    type = XFEMEqualValueAtInterface
    geometric_cut_userobject = 'cut_mesh'
    use_displaced_mesh = false
    variable = u
    value = 2
    alpha = 1e6
  []
[]

[Kernels]
  [diff]
    type = MatDiffusion
    variable = u
    diffusivity = diffusion_coefficient
  []
  [time]
    type = TimeDerivative
    variable = u
  []
[]

[AuxKernels]
  [ls]
    type = MeshCutLevelSetAux
    mesh_cut_user_object = cut_mesh
    variable = ls
    execute_on = 'TIMESTEP_BEGIN'
  []
[]

[Materials]
  [diffusivity_A]
    type = GenericConstantMaterial
    prop_names = A_diffusion_coefficient
    prop_values = 5
  []
  [diffusivity_B]
    type = GenericConstantMaterial
    prop_names = B_diffusion_coefficient
    prop_values = 1
  []
  [diff_combined]
    type = LevelSetBiMaterialReal
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = diffusion_coefficient
  []
[]

[BCs]
  # Define boundary conditions
  [left_u]
    type = DirichletBC
    variable = u
    value = 2
    boundary = left
  []

  [right_u]
    type = NeumannBC
    variable = u
    boundary = right
    value = 0
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-9
  nl_abs_tol = 1e-9

  start_time = 0.0
  dt = 1
  num_steps = 5
  max_xfem_update = 1
[]

[Outputs]
  execute_on = timestep_end
  exodus = true
  perf_graph = true
[]

(modules/xfem/test/tests/single_var_constraint_2d/equal_value.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 1
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.5 1.0 0.5 0.0'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[Constraints]
  [./xfem_constraint]
    type = XFEMEqualValueAtInterface
    geometric_cut_userobject = 'line_seg_cut_uo'
    use_displaced_mesh = false
    variable = u
    value = 1
    alpha = 1e5
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_u]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 1
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 0
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
[]

[Outputs]
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  perf_graph = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/xfem/test/tests/moving_interface/phase_transition_3d.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 11
    ny = 1
    nz = 1
    xmin = 0.0
    xmax = 20.0
    ymin = 0.0
    ymax = 5.0
    zmin = 0.0
    zmax = 5.0
    elem_type = HEX8
  []
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [velocity]
    type = XFEMPhaseTransitionMovingInterfaceVelocity
    diffusivity_at_positive_level_set = 5
    diffusivity_at_negative_level_set = 1
    equilibrium_concentration_jump = 1
    value_at_interface_uo = value_uo
  []
  [value_uo]
    type = NodeValueAtXFEMInterface
    variable = 'u'
    interface_mesh_cut_userobject = 'cut_mesh'
    execute_on = TIMESTEP_END
    level_set_var = ls
  []
  [cut_mesh]
    type = InterfaceMeshCut3DUserObject
    mesh_file = flat_interface_2d.e
    interface_velocity_uo = velocity
    heal_always = true
  []
[]

[Variables]
  [u]
  []
[]

[ICs]
  [ic_u]
    type = FunctionIC
    variable = u
    function = 'if(x<5.01, 2, 1)'
  []
[]

[AuxVariables]
  [ls]
    order = FIRST
    family = LAGRANGE
  []
[]

[Constraints]
  [u_constraint]
    type = XFEMEqualValueAtInterface
    geometric_cut_userobject = 'cut_mesh'
    use_displaced_mesh = false
    variable = u
    value = 2
    alpha = 1e6
  []
[]

[Kernels]
  [diff]
    type = MatDiffusion
    variable = u
    diffusivity = diffusion_coefficient
  []
  [time]
    type = TimeDerivative
    variable = u
  []
[]

[AuxKernels]
  [ls]
    type = MeshCutLevelSetAux
    mesh_cut_user_object = cut_mesh
    variable = ls
    execute_on = 'TIMESTEP_BEGIN'
  []
[]

[Materials]
  [diffusivity_A]
    type = GenericConstantMaterial
    prop_names = A_diffusion_coefficient
    prop_values = 5
  []
  [diffusivity_B]
    type = GenericConstantMaterial
    prop_names = B_diffusion_coefficient
    prop_values = 1
  []
  [diff_combined]
    type = LevelSetBiMaterialReal
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = diffusion_coefficient
  []
[]

[BCs]
  # Define boundary conditions
  [left_u]
    type = DirichletBC
    variable = u
    value = 2
    boundary = left
  []

  [right_u]
    type = NeumannBC
    variable = u
    boundary = right
    value = 0
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8

  start_time = 0.0
  dt = 1
  num_steps = 5
  max_xfem_update = 1
[]

[Outputs]
  execute_on = timestep_end
  exodus = true
  perf_graph = true
[]

(modules/xfem/test/tests/moving_interface/ad_phase_transition_2d.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 11
    ny = 1
    xmin = 0.0
    xmax = 20.0
    ymin = 0.0
    ymax = 5.0
    elem_type = QUAD4
  []
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [velocity]
    type = XFEMPhaseTransitionMovingInterfaceVelocity
    diffusivity_at_positive_level_set = 5
    diffusivity_at_negative_level_set = 1
    equilibrium_concentration_jump = 1
    value_at_interface_uo = value_uo
  []
  [value_uo]
    type = NodeValueAtXFEMInterface
    variable = 'u'
    interface_mesh_cut_userobject = 'cut_mesh'
    execute_on = TIMESTEP_END
    level_set_var = ls
  []
  [cut_mesh]
    type = InterfaceMeshCut2DUserObject
    mesh_file = flat_interface_1d.e
    interface_velocity_uo = velocity
    heal_always = true
  []
[]

[Variables]
  [u]
  []
[]

[ICs]
  [ic_u]
    type = FunctionIC
    variable = u
    function = 'if(x<5.01, 2, 1)'
  []
[]

[AuxVariables]
  [ls]
    order = FIRST
    family = LAGRANGE
  []
[]

[Constraints]
  [u_constraint]
    type = XFEMEqualValueAtInterface
    geometric_cut_userobject = 'cut_mesh'
    use_displaced_mesh = false
    variable = u
    value = 2
    alpha = 1e6
  []
[]

[Kernels]
  [diff]
    type = ADMatDiffusion
    variable = u
    diffusivity = diffusion_coefficient
  []
  [time]
    type = ADTimeDerivative
    variable = u
  []
[]

[AuxKernels]
  [ls]
    type = MeshCutLevelSetAux
    mesh_cut_user_object = cut_mesh
    variable = ls
    execute_on = 'TIMESTEP_BEGIN'
  []
[]

[Materials]
  [diffusivity_A]
    type = ADGenericConstantMaterial
    prop_names = A_diffusion_coefficient
    prop_values = 5
  []
  [diffusivity_B]
    type = ADGenericConstantMaterial
    prop_names = B_diffusion_coefficient
    prop_values = 1
  []
  [diff_combined]
    type = ADLevelSetBiMaterialReal
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = diffusion_coefficient
  []
[]

[BCs]
  # Define boundary conditions
  [left_u]
    type = ADDirichletBC
    variable = u
    value = 2
    boundary = left
  []

  [right_u]
    type = ADNeumannBC
    variable = u
    boundary = right
    value = 0
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8

  start_time = 0.0
  dt = 1
  num_steps = 5
  max_xfem_update = 1
[]

[Outputs]
  file_base = phase_transition_2d_out
  execute_on = timestep_end
  exodus = true
  perf_graph = true
[]

Description
Example Input File Syntax
Input Parameters
Input Files
References