PCNSFVKT

Computes the residual of advective term using finite volume method.

Overview

This object implements the Kurganov-Tadmor (Kurganov and Tadmor, 2000) (KT) scheme for computing inter-cell advective fluxes for the Euler equations. We will outline some of the important equations below, drawing from (Greenshields et al., 2010). The KT flux is a second-order generalization of the Lax-Friedrichs flux. For a given face it can be written as

(1)

where represents the vector of advected quantities, and

where is the porosity, where , , and are the component particle velocities, and is the normal vector pointing from to . This definition of is slightly different from that in (Greenshields et al., 2010) in that it does not contain the face area. This is because here we are essentially describing the implementation in PCNSFVKT while area multiplication happens in the base class FVFluxKernel. is defined as

where

where is the locally computed speed of sound. The default method when computing and is Kurganov, Noelle, Petrova (Kurganov et al., 2001) (KNP) since it's reported (Greenshields et al., 2010) as being less diffusive (enabling sharper front capturing) than the KT method of computing and . is given by

Interpolation of is described in Limiters.

Input Parameters

  • eqnThe equation you're solving.

    C++ Type:MooseEnum

    Options:mass, momentum, energy, scalar

    Controllable:No

    Description:The equation you're solving.

  • fpFluid userobject

    C++ Type:UserObjectName

    Controllable:No

    Description:Fluid userobject

  • variableThe name of the finite volume variable this kernel applies to

    C++ Type:NonlinearVariableName

    Controllable:No

    Description:The name of the finite volume variable this kernel applies to

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

  • boundaries_to_forceThe set of boundaries to force execution of this FVFluxKernel on.

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

    Controllable:No

    Description:The set of boundaries to force execution of this FVFluxKernel on.

  • boundaries_to_not_forceThe set of boundaries to not force execution of this FVFluxKernel on.

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

    Controllable:No

    Description:The set of boundaries to not force execution of this FVFluxKernel on.

  • force_boundary_executionFalseWhether to force execution of this object on the boundary.

    Default:False

    C++ Type:bool

    Controllable:No

    Description:Whether to force execution of this object on the boundary.

  • ghost_layers2The number of layers of elements to ghost.

    Default:2

    C++ Type:unsigned short

    Controllable:No

    Description:The number of layers of elements to ghost.

  • knp_for_omegaTrueWhether to use the Kurganov, Noelle, and Petrova method to compute the omega parameter for stabilization. If false, then the Kurganov-Tadmor method will be used.

    Default:True

    C++ Type:bool

    Controllable:No

    Description:Whether to use the Kurganov, Noelle, and Petrova method to compute the omega parameter for stabilization. If false, then the Kurganov-Tadmor method will be used.

  • limiterupwindThe limiter to apply during interpolation.

    Default:upwind

    C++ Type:MooseEnum

    Options:vanLeer, upwind, central_difference, min_mod, sou, quick

    Controllable:No

    Description:The limiter to apply during interpolation.

  • momentum_componentThe component of the momentum equation that this kernel applies to.

    C++ Type:MooseEnum

    Options:x, y, z

    Controllable:No

    Description:The component of the momentum equation that this kernel applies to.

  • 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_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.

Optional 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

  • 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

  • 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

Input Files

Child Objects

References

  1. Christopher J Greenshields, Henry G Weller, Luca Gasparini, and Jason M Reese. Implementation of semi-discrete, non-staggered central schemes in a colocated, polyhedral, finite volume framework, for high-speed viscous flows. International journal for numerical methods in fluids, 63(1):1–21, 2010.[BibTeX]
  2. Alexander Kurganov, Sebastian Noelle, and Guergana Petrova. Semidiscrete central-upwind schemes for hyperbolic conservation laws and hamilton–jacobi equations. SIAM Journal on Scientific Computing, 23(3):707–740, 2001.[BibTeX]
  3. Alexander Kurganov and Eitan Tadmor. New high-resolution central schemes for nonlinear conservation laws and convection–diffusion equations. Journal of Computational Physics, 160(1):241–282, 2000.[BibTeX]