INSMomentumLaplaceForm

This class computes momentum equation residual and Jacobian viscous contributions for the 'Laplacian' form of the governing equations.

This class implements the same terms as described in INSMomentumTractionForm but with a simplification applied to the viscous stress. For constant density and viscosity, the following simplification can be applied, as described in (Peterson et al., 2018):

\begin{aligned} \nabla\cdot\sigma &= \nabla\cdot\left(-p\bm{I} + \mu\left(\nabla\vec{u} + \left(\nabla\vec{u}\right)^T\right) &= -\nabla p + \mu\left(\nabla\cdot\nabla\vec{u} + \nabla\cdot\left(\nabla\vec{u}\right)^T\right) &= -\nabla p + \mu[left(\nabla\left(\nabla\cdot\vec{u}\right) + \nabla\cdot\left(\nabla\vec{u}\right)^T\right) &= -\nabla p + \mu\nabla\cdot\left(\nabla\vec{u}\right)^T &= -\nabla p + \mu\nabla^2\vec{u} \end{aligned}

Moving from lines 2 to 3 in the above equation we assumed sufficient smoothness in u⃗\vec{u} to interchange the divergence and gradient operations. In moving from lines 3 to 4 we applied the incompressibility constraint ∇⋅u⃗=0\nabla\cdot\vec{u} = 0. The final form is a vector Laplacian (which can be different in non-Cartesian coordinate systems from a componentwise scalar Laplacian), hence the designation the "Laplace" form.

Input Parameters

  • componentThe velocity component that this is applied to.

    C++ Type:unsigned int

    Controllable:No

    Description:The velocity component that this is applied to.

  • pressurepressure

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

    Unit:(no unit assumed)

    Controllable:No

    Description:pressure

  • ux-velocity

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

    Unit:(no unit assumed)

    Controllable:No

    Description:x-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

  • alpha1Multiplicative factor on the stabilization parameter tau.

    Default:1

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Multiplicative factor on the stabilization parameter tau.

  • 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

  • convective_termTrueWhether to include the convective term.

    Default:True

    C++ Type:bool

    Controllable:No

    Description:Whether to include the convective term.

  • disp_xThe x displacement

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The x displacement

  • disp_yThe y displacement

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The y displacement

  • disp_zThe z displacement

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The z displacement

  • displacementsThe displacements

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The displacements

  • forcing_func0The mms forcing function.

    Default:0

    C++ Type:FunctionName

    Unit:(no unit assumed)

    Controllable:No

    Description:The mms forcing function.

  • gravity0 0 0Direction of the gravity vector

    Default:0 0 0

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

    Unit:(no unit assumed)

    Controllable:No

    Description:Direction of the gravity vector

  • integrate_p_by_partsTrueWhether to integrate the pressure term by parts.

    Default:True

    C++ Type:bool

    Controllable:No

    Description:Whether to integrate the pressure term by parts.

  • laplaceTrueWhether the viscous term of the momentum equations is in laplace form.

    Default:True

    C++ Type:bool

    Controllable:No

    Description:Whether the viscous term of the momentum equations is in laplace form.

  • mu_namemuThe name of the dynamic viscosity

    Default:mu

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:The name of the dynamic viscosity

  • picardFalseWhether we are applying a Picard strategy in which case we will linearize the nonlinear convective term.

    Default:False

    C++ Type:bool

    Controllable:No

    Description:Whether we are applying a Picard strategy in which case we will linearize the nonlinear convective term.

  • rho_namerhoThe name of the density

    Default:rho

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:The name of the density

  • supgFalseWhether to perform SUPG stabilization of the momentum residuals

    Default:False

    C++ Type:bool

    Controllable:No

    Description:Whether to perform SUPG stabilization of the momentum residuals

  • transient_termFalseWhether there should be a transient term in the momentum residuals.

    Default:False

    C++ Type:bool

    Controllable:No

    Description:Whether there should be a transient term in the momentum residuals.

  • vy-velocity

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

    Unit:(no unit assumed)

    Controllable:No

    Description:y-velocity

  • wz-velocity

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

    Unit:(no unit assumed)

    Controllable:No

    Description:z-velocity

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

Input Files

Child Objects

References

  1. John W. Peterson, Alexander D. Lindsay, and Fande Kong. Overview of the incompressible navier–stokes simulation capabilities in the moose framework. Advances in Engineering Software, 119:68–92, 2018.[BibTeX]