MFEMNLDiffusionKernel

Overview

Adds the domain integrator for integrating the non-linear form

where and is a scalar non-linear diffusivity coefficient that may depend on the trial variable .

The above terms arises from the weak form of the non-linear operator

Example Input File Syntax

[Kernels<<<{"href": "../../../syntax/Kernels/index.html"}>>>]
  active<<<{"description": "If specified only the blocks named will be visited and made active"}>>> = 'nl'
  [nl]
    type = MFEMNLDiffusionKernel<<<{"description": "Adds the domain integrator to an MFEM problem for the nonlinear form $(k(u) \\vec\\nabla u, \\vec\\nabla v)_\\Omega arising from the weak form of the non-linear operator $- \\vec\\nabla \\cdot (k(u) \\vec\\nabla u)$.", "href": "MFEMNLDiffusionKernel.html"}>>>
    variable<<<{"description": "Variable labelling the weak form this kernel is added to"}>>> = concentration
    k_coefficient<<<{"description": "Name of property for nonlinear diffusivity coefficient k(u). A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number."}>>> = concentration
    dk_du_coefficient<<<{"description": "Name of property partial derivative of diffusivity coefficient k(u) with respect to the trial variable u. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number."}>>> = 1.0
  []
  [force]
    type = MFEMDomainLFKernel<<<{"description": "Adds the domain integrator to an MFEM problem for the linear form $(f, v)_\\Omega$ arising from the weak form of the forcing term $f$.", "href": "MFEMDomainLFKernel.html"}>>>
    variable<<<{"description": "Variable labelling the weak form this kernel is added to"}>>> = concentration
  []
[]
(test/tests/mfem/kernels/nldiffusion.i)

Input Parameters

  • blockThe list of subdomains (names or ids) that this object will be restricted to. Leave empty to apply to all subdomains.

    C++ Type:std::vector<SubdomainName>

    Controllable:No

    Description:The list of subdomains (names or ids) that this object will be restricted to. Leave empty to apply to all subdomains.

  • dk_du_coefficient0.Name of property partial derivative of diffusivity coefficient k(u) with respect to the trial variable u. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number.

    Default:0.

    C++ Type:MFEMScalarCoefficientName

    Controllable:No

    Description:Name of property partial derivative of diffusivity coefficient k(u) with respect to the trial variable u. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number.

  • k_coefficient1.Name of property for nonlinear diffusivity coefficient k(u). A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number.

    Default:1.

    C++ Type:MFEMScalarCoefficientName

    Controllable:No

    Description:Name of property for nonlinear diffusivity coefficient k(u). A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number.

  • variableVariable labelling the weak form this kernel is added to

    C++ Type:VariableName

    Unit:(no unit assumed)

    Controllable:No

    Description:Variable labelling the weak form this kernel is added to

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

Input Files