INSADSmagorinskyEddyViscosity

This object computes the residual and Jacobian contribution of the eddy viscosity term as given by the Smagorinsky large eddy simulation model. For some details on how this tends to be used, the paper Bouffanais et al. (2007) is recommended. Using this kernel adds this term to the momentum equation:

νsgsρ2u-\nu_{sgs} \rho \nabla^2 \vec u

Where the subgrid-scale eddy viscosity is calculated as:

νsgs=(CsΔˉ)2Sˉˉ\nu_{sgs} = (C_s \bar{\Delta})^2 ||\bar{\bar{S}}||

Where the symmetric strain rate tensor magnitude is calculated by: Sˉˉ2=i=03j=03(u+uT)2||\bar{\bar{S}}||^2 = \sum_{i=0}^3 \sum_{j=0}^3 (\nabla \vec u + \nabla \vec u^T)^2

The filter length can be calculated in a few ways, and this kernel uses the common approach of using the cube root of the element volume as the filter length, divided by the local element polynomial degree for the velocity variable. The Smagorinsky constant CsC_s comes from theory Smagorinsky (1963), and is set by default to a reasonable value.

[Kernels]
  [eddy_viscosity]
    type = INSADSmagorinskyEddyViscosity
    variable = velocity
  []
[]
(contrib/moose/modules/navier_stokes/test/tests/finite_element/ins/lid_driven/ad_lid_driven_les.i)

Computes eddy viscosity term using Smagorinky's LES model

Input Parameters

  • 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>

    Unit:(no unit assumed)

    Controllable:No

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

  • displacementsThe displacements

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

    Unit:(no unit assumed)

    Controllable:No

    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

    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.

  • rho_namerhoThe name of the density material property

    Default:rho

    C++ Type:MaterialPropertyName

    Unit:(no unit assumed)

    Controllable:No

    Description:The name of the density material property

  • smagorinsky_constant0.18Value of Smagorinsky's constant to use

    Default:0.18

    C++ Type:double

    Unit:(no unit assumed)

    Controllable:No

    Description:Value of Smagorinsky's constant to use

  • 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

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    Options:nontime, time

    Controllable:No

    Description:The tag for the vectors this Kernel should fill

Tagging Parameters

  • control_tagsAdds user-defined labels for accessing object parameters via control logic.

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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

References

  1. Roland Bouffanais, Michel O. Deville, and Emmanuel Leriche. Large-eddy simulation of the flow in a lid-driven cubical cavity. Physics of Fluids, 19(5):055108, May 2007. doi:10.1063/1.2723153.[BibTeX]
  2. J. Smagorinsky. General Circulation Experiments with the Primitive Equations. The Basic Experiment. Monthly Weather Review, 91(3):99–164, March 1963. doi:10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2.[BibTeX]