MFEMComplexVectorNormalDirichletBC

Overview

Boundary condition for enforcing an essential (Dirichlet) boundary condition on the normal components of a complex-valued $var element = document.getElementById("moose-equation-f23f10e5-591a-4473-b452-e7b7ba89fee9");katex.render("H(\\mathrm{div})", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ conforming vector FE at a boundary. The imposed value is a coefficient that may vary in space and/or time.

Example Input File Syntax

[BCs<<<{"href": "../../../syntax/BCs/index.html"}>>>]
  [dirichlet]
    type = MFEMVectorNormalDirichletBC<<<{"description": "Applies a Dirichlet condition to the normal components of a vector variable.", "href": "MFEMVectorNormalDirichletBC.html"}>>>
    variable<<<{"description": "Variable on which to apply the boundary condition"}>>> = F
    boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies. Defaults to all boundaries."}>>> = '1 2 3'
    vector_coefficient<<<{"description": "Vector coefficient specifying the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces)."}>>> = F_exact
  []
[]

Input Parameters

boundary-1 The list of boundaries (ids or names) from the mesh where this object applies. Defaults to all boundaries.
Default:-1
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies. Defaults to all boundaries.
variableVariable on which to apply the boundary condition
C++ Type:VariableName
Unit:(no unit assumed)
Controllable:No
Description:Variable on which to apply the boundary condition
vector_coefficient_imag0. 0. 0.Vector coefficient specifying the imaginary part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).
Default:0. 0. 0.
C++ Type:MFEMVectorCoefficientName
Controllable:No
Description:Vector coefficient specifying the imaginary part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).
vector_coefficient_real0. 0. 0.Vector coefficient specifying the real part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).
Default:0. 0. 0.
C++ Type:MFEMVectorCoefficientName
Controllable:No
Description:Vector coefficient specifying the real part of the values the variable takes on the boundary. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces).

Optional 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:No
Description:Set the enabled status of the MooseObject.

Advanced Parameters

(test/tests/mfem/kernels/graddiv.i)

# Grad-div problem using method of manufactured solutions,
# based on MFEM Example 4.

[Mesh]
  type = MFEMMesh
  file = ../mesh/beam-tet.mesh
  dim = 3
  uniform_refine = 1
[]

[Problem]
  type = MFEMProblem
[]

[FESpaces]
  [HDivFESpace]
    type = MFEMVectorFESpace
    fec_type = RT
    fec_order = CONSTANT
    ordering = "vdim"
  []
  [L2FESpace]
    type = MFEMScalarFESpace
    fec_type = L2
    fec_order = CONSTANT
    basis = GaussLegendre
  []
[]

[Variables]
  [F]
    type = MFEMVariable
    fespace = HDivFESpace
  []
[]

[AuxVariables]
  [divF]
    type = MFEMVariable
    fespace = L2FESpace
  []
[]

[AuxKernels]
  [div]
    type = MFEMDivAux
    variable = divF
    source = F
    execute_on = TIMESTEP_END
  []
[]

[Functions]
  [f]
    type = ParsedVectorFunction
    expression_x = '(1. + 2*kappa * kappa) * cos(kappa * x) * sin(kappa * y)'
    expression_y = '(1. + 2*kappa * kappa) * cos(kappa * y) * sin(kappa * x)'
    expression_z = '0'

    symbol_names = kappa
    symbol_values = 3.1415926535
  []
  [F_exact]
    type = ParsedVectorFunction
    expression_x = 'cos(kappa * x) * sin(kappa * y)'
    expression_y = 'cos(kappa * y) * sin(kappa * x)'
    expression_z = '0'

    symbol_names = kappa
    symbol_values = 3.1415926535
  []
[]

[BCs]
  [dirichlet]
    type = MFEMVectorNormalDirichletBC
    variable = F
    boundary = '1 2 3'
    vector_coefficient = F_exact
  []
[]

[Kernels]
  [divdiv]
    type = MFEMDivDivKernel
    variable = F
  []
  [mass]
    type = MFEMVectorFEMassKernel
    variable = F
  []
  [source]
    type = MFEMVectorFEDomainLFKernel
    variable = F
    vector_coefficient = f
  []
[]

[Preconditioner]
  [ADS]
    type = MFEMHypreADS
    fespace = HDivFESpace
  []
[]

[Solver]
  type = MFEMCGSolver
  preconditioner = ADS
  l_tol = 1e-16
  l_max_its = 1000
  print_level = 2
[]

[Executioner]
  type = MFEMSteady
  device = "cpu"
[]

[Outputs]
  [ParaViewDataCollection]
    type = MFEMParaViewDataCollection
    file_base = OutputData/GradDiv
    vtk_format = ASCII
  []
[]

Overview
Example Input File Syntax
Input Parameters