MassFluxPenalty

This class introduces a jump correction for grad-div stabilization (see GradDiv) for discontinuous Galerkin methods. With its addition, we achive the neat equality that the summation of the matrices created through this kernel and GradDiv is equivalent to

$var element = document.getElementById("moose-equation-afba0289-e55c-4f1c-ba32-c8b1a535fa0c");katex.render("B M_p^{-1} B^T", element, {displayMode:true,throwOnError:false});$

where $var element = document.getElementById("moose-equation-fe12c14e-4912-4ca2-b212-6d8eeb846cf4");katex.render("B", element, {displayMode:false,throwOnError:false});$ is the matrix corresponding to the $var element = document.getElementById("moose-equation-57c5e7c7-9184-48c4-a75f-c8eb94413459");katex.render("\\nabla p", element, {displayMode:false,throwOnError:false});$ term in the Navier-Stokes momentum equation, $var element = document.getElementById("moose-equation-d181b077-1094-43ba-b324-8f96cdeb98ae");katex.render("M_p^{-1}", element, {displayMode:false,throwOnError:false});$ is the inverse of the pressure mass matrix, and $var element = document.getElementById("moose-equation-c2356863-206b-4389-a3f2-cde1fe601690");katex.render("B^T", element, {displayMode:false,throwOnError:false});$ is the transpose of the gradient operator, e.g. divergence, corresponding to the conservation of mass equation. Auxiliary matrices created from GradDiv and this kernel can be used to build scalable field-split preconditioners as outlined in (Benzi and Olshanskii, 2006) and (Farrell et al., 2019).

Input Parameters

componentThe velocity component this object is being applied to
C++ Type:unsigned short
Controllable:No
Description:The velocity component this object is being applied to
uThe x-velocity
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The x-velocity
vThe y-velocity
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The y-velocity
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

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
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
exclude_boundaryThe internal side sets to be excluded from this kernel.
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The internal side sets to be excluded from this kernel.
gamma1The penalty to multiply the jump
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The penalty to multiply the jump
matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)

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

Contribution To Tagged Field Data 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.
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>
Unit:(no unit assumed)
Controllable:No
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
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
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>
Unit:(no unit assumed)
Controllable:No
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
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

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
Unit:(no unit assumed)
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.

Material Property Retrieval Parameters

References

Michele Benzi and Maxim A Olshanskii. An augmented lagrangian-based approach to the oseen problem. SIAM Journal on Scientific Computing, 28(6):2095–2113, 2006.

@article{benzi2006augmented,
    author = "Benzi, Michele and Olshanskii, Maxim A",
    title = "An augmented Lagrangian-based approach to the Oseen problem",
    journal = "SIAM Journal on Scientific Computing",
    volume = "28",
    number = "6",
    pages = "2095--2113",
    year = "2006",
    publisher = "SIAM"
}

Patrick E Farrell, Lawrence Mitchell, and Florian Wechsung. An augmented lagrangian preconditioner for the 3d stationary incompressible navier–stokes equations at high reynolds number. SIAM Journal on Scientific Computing, 41(5):A3073–A3096, 2019.

@article{farrell2019augmented,
    author = "Farrell, Patrick E and Mitchell, Lawrence and Wechsung, Florian",
    title = "An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier--Stokes equations at high Reynolds number",
    journal = "SIAM Journal on Scientific Computing",
    volume = "41",
    number = "5",
    pages = "A3073--A3096",
    year = "2019",
    publisher = "SIAM"
}

Input Parameters
References

Theory

Usage

Development