MatDiffusion

Diffusion equation Kernel that takes an isotropic Diffusivity from a material property

Implements the term $var element = document.getElementById("moose-equation-55168be5-9b92-474c-bbbe-7d2a4e911bf1");katex.render("\\nabla\\cdot D(c,a,b,\\dots) \\nabla u,", element, {displayMode:true,throwOnError:false});$ where the diffusion coefficient $var element = document.getElementById("moose-equation-6383ccf2-eaa2-42a7-b821-5b51c4bd28da");katex.render("D", element, {displayMode:false,throwOnError:false});$ (diffusivity) is provided by a FunctionMaterial function material (see Phase Field Module for more information), $var element = document.getElementById("moose-equation-628397d7-629b-45ea-96e7-3a03dbbcd530");katex.render("u", element, {displayMode:false,throwOnError:false});$ is the non-linear variable the kernel is operating on.

This kernel can be used in a coupled form if the optional v variable is specified. This allows applying the diffusion operator to a variable $var element = document.getElementById("moose-equation-0cb6780b-d8e6-4a54-85b2-0dbd264ac932");katex.render("u", element, {displayMode:false,throwOnError:false});$ given by v, which is different from the kernel variable.

$var element = document.getElementById("moose-equation-0e117eb2-4083-4b29-99a3-3ecf6c517510");katex.render("D", element, {displayMode:false,throwOnError:false});$ can depend on arbitrary non-linear variables $var element = document.getElementById("moose-equation-a594bc90-5296-4323-9c0b-643c78879b63");katex.render("a,b,\\dots", element, {displayMode:false,throwOnError:false});$ (args). The complete Jacobian contributions are provided by the kernel. To build the Jacobian the kernel uses all derivatives of $var element = document.getElementById("moose-equation-e554158a-b54b-495f-9955-1500874f7196");katex.render("D", element, {displayMode:false,throwOnError:false});$ with respect to the kernel variable and the variables specified in args.

Input Parameters

variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Options:
Description:The name of the variable that this residual object operates on

Required Parameters

argsOptional vector of arguments for the diffusivity. If provided and diffusivity is a derivative parsed material, Jacobian contributions from the diffusivity will be automatically computed
C++ Type:std::vector<VariableName>
Options:
Description:Optional vector of arguments for the diffusivity. If provided and diffusivity is a derivative parsed material, Jacobian contributions from the diffusivity will be automatically computed
blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Options:
Description:The list of blocks (ids or names) that this object will be applied
concDeprecated! Use 'v' instead
C++ Type:std::vector<VariableName>
Options:
Description:Deprecated! Use 'v' instead
diffusivityDThe diffusivity value or material property
Default:D
C++ Type:MaterialPropertyName
Options:
Description:The diffusivity value or material property
displacementsThe displacements
C++ Type:std::vector<VariableName>
Options:
Description:The displacements
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
Options:
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.
vCoupled concentration variable for kernel to operate on; if this is not specified, the kernel's nonlinear variable will be used as usual
C++ Type:std::vector<VariableName>
Options:
Description:Coupled concentration variable for kernel to operate on; if this is not specified, the kernel's nonlinear variable will be used as usual

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Options:
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>
Options:
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.)
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
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
Options:
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>
Options:
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.)
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Options:
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
Options:
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

extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Options:
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>
Options:
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
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
Description:The tag for the vectors this Kernel should fill

Tagging Parameters

Input Parameters