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Static Public Member Functions | List of all members
Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices > Class Template Reference
Free Flow Models » Navier-Stokes

Helper class for calculating the velocity gradients for the Navier-Stokes model using the staggered grid discretization. More...

#include <dumux/freeflow/navierstokes/staggered/velocitygradients.hh>

Description

template<class Scalar, class GridGeometry, class BoundaryTypes, class Indices>
class Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices >

Helper class for calculating the velocity gradients for the Navier-Stokes model using the staggered grid discretization.

Static Public Member Functions

template<class FaceVariables >
static Scalar velocityGradII (const SubControlVolumeFace &scvf, const FaceVariables &faceVars)
 Returns the in-axis velocity gradient. More...
 
template<class Problem , class FaceVariables >
static Scalar velocityGradIJ (const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const SubControlVolumeFace &scvf, const FaceVariables &faceVars, const std::optional< BoundaryTypes > &currentScvfBoundaryTypes, const std::optional< BoundaryTypes > &lateralFaceBoundaryTypes, const std::size_t localSubFaceIdx)
 Returns the velocity gradient perpendicular to the orientation of our current scvf. More...
 
template<class Problem , class FaceVariables >
static Scalar velocityGradJI (const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const SubControlVolumeFace &scvf, const FaceVariables &faceVars, const std::optional< BoundaryTypes > &currentScvfBoundaryTypes, const std::optional< BoundaryTypes > &lateralFaceBoundaryTypes, const std::size_t localSubFaceIdx)
 Returns the velocity gradient in line with our current scvf. More...
 
template<class Problem , class FaceVariables >
static Scalar beaversJosephVelocityAtCurrentScvf (const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const SubControlVolumeFace &scvf, const FaceVariables &faceVars, const std::optional< BoundaryTypes > &currentScvfBoundaryTypes, const std::optional< BoundaryTypes > &lateralFaceBoundaryTypes, const std::size_t localSubFaceIdx)
 Returns the Beavers-Jospeh slip velocity for a scvf which lies on the boundary itself. More...
 
template<class Problem , class FaceVariables >
static Scalar beaversJosephVelocityAtLateralScvf (const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const SubControlVolumeFace &scvf, const FaceVariables &faceVars, const std::optional< BoundaryTypes > &currentScvfBoundaryTypes, const std::optional< BoundaryTypes > &lateralFaceBoundaryTypes, const std::size_t localSubFaceIdx)
 Returns the Beavers-Jospeh slip velocity for a lateral scvf which lies on the boundary. More...
 

Member Function Documentation

◆ beaversJosephVelocityAtCurrentScvf()

template<class Scalar , class GridGeometry , class BoundaryTypes , class Indices >
template<class Problem , class FaceVariables >
static Scalar Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices >::beaversJosephVelocityAtCurrentScvf ( const Problem &  problem,
const Element &  element,
const FVElementGeometry &  fvGeometry,
const SubControlVolumeFace &  scvf,
const FaceVariables &  faceVars,
const std::optional< BoundaryTypes > &  currentScvfBoundaryTypes,
const std::optional< BoundaryTypes > &  lateralFaceBoundaryTypes,
const std::size_t  localSubFaceIdx 
)
inlinestatic

Returns the Beavers-Jospeh slip velocity for a scvf which lies on the boundary itself. 

*                  in.norm.  B-J slip
*                     vel.   vel.
*                     ^       ^
*                     |       |
*       scvf   ---------######|*               * boundary
*              |      ||      |* curr.
*              |      ||      |* scvf          || and # staggered half-control-volume (own element)
*              |      ||      x~~~~>
*              |      ||      |* vel.          # lateral staggered faces
*        scvf  |      ||      |* Self
*              ---------#######*                x dof position
*                 scvf
*                                              -- element
*

◆ beaversJosephVelocityAtLateralScvf()

template<class Scalar , class GridGeometry , class BoundaryTypes , class Indices >
template<class Problem , class FaceVariables >
static Scalar Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices >::beaversJosephVelocityAtLateralScvf ( const Problem &  problem,
const Element &  element,
const FVElementGeometry &  fvGeometry,
const SubControlVolumeFace &  scvf,
const FaceVariables &  faceVars,
const std::optional< BoundaryTypes > &  currentScvfBoundaryTypes,
const std::optional< BoundaryTypes > &  lateralFaceBoundaryTypes,
const std::size_t  localSubFaceIdx 
)
inlinestatic

Returns the Beavers-Jospeh slip velocity for a lateral scvf which lies on the boundary. 

*                             B-J slip                  * boundary
*              ************** vel. *****
*       scvf   ---------##### ~~~~> ::::                || and # staggered half-control-volume (own element)
*              |      ||      | curr. ::
*              |      ||      | scvf  ::                :: staggered half-control-volume (neighbor element)
*              |      ||      x~~~~>  ::
*              |      ||      | vel.  ::                # lateral staggered faces
*        scvf  |      ||      | Self  ::
*              ---------#######:::::::::                x dof position
*                 scvf
*                                                       -- elements
*

◆ velocityGradII()

template<class Scalar , class GridGeometry , class BoundaryTypes , class Indices >
template<class FaceVariables >
static Scalar Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices >::velocityGradII ( const SubControlVolumeFace &  scvf,
const FaceVariables &  faceVars 
)
inlinestatic

Returns the in-axis velocity gradient. 

*              ---------=======                 == and # staggered half-control-volume
*              |       #      | current scvf
*              |       #      |                 # staggered face over which fluxes are calculated
*   vel.Opp <~~|       O~~>   x~~~~> vel.Self
*              |       #      |                 x dof position
*        scvf  |       #      |
*              --------========                 -- element
*
*                                               O position at which gradient is evaluated
*

◆ velocityGradIJ()

template<class Scalar , class GridGeometry , class BoundaryTypes , class Indices >
template<class Problem , class FaceVariables >
static Scalar Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices >::velocityGradIJ ( const Problem &  problem,
const Element &  element,
const FVElementGeometry &  fvGeometry,
const SubControlVolumeFace &  scvf,
const FaceVariables &  faceVars,
const std::optional< BoundaryTypes > &  currentScvfBoundaryTypes,
const std::optional< BoundaryTypes > &  lateralFaceBoundaryTypes,
const std::size_t  localSubFaceIdx 
)
inlinestatic

Returns the velocity gradient perpendicular to the orientation of our current scvf. 

*              ----------------
*              |              |vel.
*              |              |Parallel
*              |              |~~~~>       ------->
*              |              |             ------>     * gradient
*              |              |              ----->
*       scvf   ---------######O:::::::::      ---->     || and # staggered half-control-volume (own element)
*              |      ||      | curr. ::       --->
*              |      ||      | scvf  ::        -->     :: staggered half-control-volume (neighbor element)
*              |      ||      x~~~~>  ::         ->
*              |      ||      | vel.  ::                # lateral staggered faces over which fluxes are calculated
*        scvf  |      ||      | Self  ::
*              ---------#######:::::::::                x dof position
*                 scvf
*                                                       -- elements
*
*                                                       O position at which gradient is evaluated
*

◆ velocityGradJI()

template<class Scalar , class GridGeometry , class BoundaryTypes , class Indices >
template<class Problem , class FaceVariables >
static Scalar Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices >::velocityGradJI ( const Problem &  problem,
const Element &  element,
const FVElementGeometry &  fvGeometry,
const SubControlVolumeFace &  scvf,
const FaceVariables &  faceVars,
const std::optional< BoundaryTypes > &  currentScvfBoundaryTypes,
const std::optional< BoundaryTypes > &  lateralFaceBoundaryTypes,
const std::size_t  localSubFaceIdx 
)
inlinestatic

Returns the velocity gradient in line with our current scvf. 

*                      ^       gradient
*                      |  ^
*                      |  |  ^
*                      |  |  |  ^
*                      |  |  |  |  ^
*                      |  |  |  |  |  ^
*                      |  |  |  |  |  |
*
*              ----------------
*              |              |
*              |    in.norm.  |
*              |       vel.   |
*              |       ^      |        ^ out.norm.vel.
*              |       |      |        |
*       scvf   ---------######O:::::::::       || and # staggered half-control-volume (own element)
*              |      ||      | curr. ::
*              |      ||      | scvf  ::       :: staggered half-control-volume (neighbor element)
*              |      ||      x~~~~>  ::
*              |      ||      | vel.  ::       # lateral staggered faces over which fluxes are calculated
*        scvf  |      ||      | Self  ::
*              ---------#######:::::::::       x dof position
*                 scvf
*                                              -- elements
*
*                                              O position at which gradient is evaluated
*
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