FVAdvection

Residual contribution from advection operator for finite volume method.

The FVAdvection kernel implements an advection term given for the domain () defined as

where is the advected quantity, the variable for this kernel, is the constant advecting velocity, the velocity parameter of this kernel, and the are the contribution to the residual of other kernels.

This volumetric term is transformed using the divergence theorem into a surface integral, computed as a sum over each face of the advective flux. This is preferred over computing a volumetric gradient as conservative advection is naturally achieved.

The advected quantity is evaluated on the face using an advected_interp(olation)_method. Two methods are available:

  • average for a geometrically weighted average between the element and neighbor values

  • upwind for a first order upwind scheme, which uses the value from the centroid of the element situated upwind of the face, using velocity as the wind

commentnote

This kernel leverages the automatic differentiation system, so the Jacobian is computed at the same time as the residual and need not be defined separately.

Boundary conditions for pure advection

Advection problems, with a constant advecting velocity, should have two types of boundary conditions: inflow and outflow. The inflow boundary conditions may be specified as a constant boundary value with a FVDirichletBC (with caveats, see documentation)

[FVBCs]
  [left]
    type = FVFunctionDirichletBC
    boundary = 'left'
    function = 'exact'
    variable = v
  []
[]
(moose/test/tests/fvkernels/mms/advective-outflow/advection-diffusion.i)

The outflow boundary conditions may be specified with a FVConstantScalarOutflowBC.

[FVBCs]
  [fv_outflow]
    type = FVConstantScalarOutflowBC
    velocity = '1 0.5 0'
    variable = v
    boundary = 'right top'
  []
[]
(moose/test/tests/fvkernels/fv_constant_scalar_advection/2D_constant_scalar_advection.i)

If no boundary conditions are specified, then there is a zero advective flux through the boundary, also known a no-penetration boundary condition.

commentnote

The FVAdvection kernel may be executed on boundaries using the force_boundary_execution and boundaries_to_force parameters, however this is somewhat situational / not for mainstream use.

Example input syntax

In this example, a simple time-dependent advection problem is solved, with a constant advecting velocity of 1 0.5 0.

[FVKernels]
  [advection]
    type = FVAdvection
    variable = v
    velocity = '1 0.5 0'
  []
  [time]
    type = FVTimeKernel
    variable = v
  []
[]
(moose/test/tests/fvkernels/fv_constant_scalar_advection/2D_constant_scalar_advection.i)

Input Parameters

  • variableThe name of the variable that this residual object operates on

    C++ Type:NonlinearVariableName

    Controllable:No

    Description:The name of the variable that this residual object operates on

  • velocityConstant advection velocity

    C++ Type:libMesh::VectorValue<double>

    Controllable:No

    Description:Constant advection velocity

Required Parameters

  • advected_interp_methodupwindThe interpolation to use for the advected quantity. Options are 'upwind', 'average', 'sou' (for second-order upwind), 'min_mod', 'vanLeer', 'quick', and 'skewness-corrected' with the default being 'upwind'.

    Default:upwind

    C++ Type:MooseEnum

    Options:average, upwind, sou, min_mod, vanLeer, quick, skewness-corrected

    Controllable:No

    Description:The interpolation to use for the advected quantity. Options are 'upwind', 'average', 'sou' (for second-order upwind), 'min_mod', 'vanLeer', 'quick', and 'skewness-corrected' with the default being 'upwind'.

  • blockThe list of blocks (ids or names) that this object will be applied

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

    Controllable:No

    Description:The list of blocks (ids or names) that this object will be applied

  • 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.

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

  • boundaries_to_avoidThe set of sidesets to not execute this FVFluxKernel on. This takes precedence over force_boundary_execution to restrict to less external boundaries. By default flux kernels are executed on all internal boundaries and Dirichlet boundary conditions.

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

    Controllable:No

    Description:The set of sidesets to not execute this FVFluxKernel on. This takes precedence over force_boundary_execution to restrict to less external boundaries. By default flux kernels are executed on all internal boundaries and Dirichlet boundary conditions.

  • boundaries_to_forceThe set of sidesets to force execution of this FVFluxKernel on. Setting force_boundary_execution to true is equivalent to listing all external mesh boundaries in this parameter.

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

    Controllable:No

    Description:The set of sidesets to force execution of this FVFluxKernel on. Setting force_boundary_execution to true is equivalent to listing all external mesh boundaries in this parameter.

  • force_boundary_executionFalseWhether to force execution of this object on all external boundaries.

    Default:False

    C++ Type:bool

    Controllable:No

    Description:Whether to force execution of this object on all external boundaries.

Boundary Execution Modification 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

  • seed0The seed for the master random number generator

    Default:0

    C++ Type:unsigned int

    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

    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_layers1The number of layers of elements to ghost.

    Default:1

    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