Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity > Class Template Reference

Forchheimer's law for box scheme. More...

#include <dumux/flux/box/forchheimerslaw.hh>

Inheritance diagram for Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >:

Description

template<class ScalarType, class GridGeometry, class ForchheimerVelocity>
class Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >

Forchheimer's law for box scheme.

Specialization of the BoxForchheimersLaw.

Note

Forchheimer's law is specialized for network and surface grids (i.e. if grid dim < dimWorld)

Template Parameters

Scalar	the scalar type for scalar physical quantities
GridGeometry	the grid geometry
ForchheimerVelocity	class for the calculation of the Forchheimer velocity
isNetwork	whether we are computing on a network grid embedded in a higher world dimension

Public Types
using	Scalar = ScalarType
	state the scalar type of the law More...
using	DiscretizationMethod = DiscretizationMethods::Box

Static Public Member Functions
template<class Problem , class ElementVolumeVariables , class ElementFluxVarsCache >
static Scalar	flux (const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const SubControlVolumeFace &scvf, int phaseIdx, const ElementFluxVarsCache &elemFluxVarsCache)
	Compute the advective flux of a phase across the given sub-control volume face using the Forchheimer equation. More...
template<class Problem , class ElementVolumeVariables >
static Scalar	calculateTransmissibility (const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const SubControlVolumeFace &scvf)
template<class Problem , class ElementVolumeVariables >
static DimWorldMatrix	calculateHarmonicMeanSqrtPermeability (const Problem &problem, const ElementVolumeVariables &elemVolVars, const SubControlVolumeFace &scvf)
	Returns the harmonic mean of \(\sqrt{K_0}\) and \(\sqrt{K_1}\). More...

Static Public Attributes
static constexpr DiscretizationMethod	discMethod {}
	state the discretization method this implementation belongs to More...

Member Typedef Documentation

DiscretizationMethod

template<class ScalarType , class GridGeometry , class ForchheimerVelocity >

using Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >::DiscretizationMethod = DiscretizationMethods::Box

Scalar

template<class ScalarType , class GridGeometry , class ForchheimerVelocity >

using Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >::Scalar = ScalarType

state the scalar type of the law

Member Function Documentation

calculateHarmonicMeanSqrtPermeability()

template<class ScalarType , class GridGeometry , class ForchheimerVelocity >

template<class Problem , class ElementVolumeVariables >

static DimWorldMatrix Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >::calculateHarmonicMeanSqrtPermeability ( const Problem &  problem, const ElementVolumeVariables &  elemVolVars, const SubControlVolumeFace &  scvf  )

inlinestatic

Returns the harmonic mean of \(\sqrt{K_0}\) and \(\sqrt{K_1}\).

This is a specialization for scalar-valued permeabilities which returns a tensor with identical diagonal entries.

calculateTransmissibility()

template<class ScalarType , class GridGeometry , class ForchheimerVelocity >

template<class Problem , class ElementVolumeVariables >

static Scalar Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >::calculateTransmissibility ( const Problem &  problem, const Element &  element, const FVElementGeometry &  fvGeometry, const ElementVolumeVariables &  elemVolVars, const SubControlVolumeFace &  scvf  )

inlinestatic

The flux variables cache has to be bound to an element prior to flux calculations During the binding, the transmissibility will be computed and stored using the method below.

flux()

template<class ScalarType , class GridGeometry , class ForchheimerVelocity >

template<class Problem , class ElementVolumeVariables , class ElementFluxVarsCache >

static Scalar Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >::flux ( const Problem &  problem, const Element &  element, const FVElementGeometry &  fvGeometry, const ElementVolumeVariables &  elemVolVars, const SubControlVolumeFace &  scvf, int  phaseIdx, const ElementFluxVarsCache &  elemFluxVarsCache  )

inlinestatic

Compute the advective flux of a phase across the given sub-control volume face using the Forchheimer equation.

The flux is given in N*m, and can be converted into a volume flux (m^3/s) or mass flux (kg/s) by applying an upwind scheme for the mobility or the product of density and mobility, respectively.

Member Data Documentation

discMethod

template<class ScalarType , class GridGeometry , class ForchheimerVelocity >

constexpr DiscretizationMethod Dumux::BoxForchheimersLaw< ScalarType, GridGeometry, ForchheimerVelocity >::discMethod {}

staticconstexpr

state the discretization method this implementation belongs to

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The documentation for this class was generated from the following file:

• box/forchheimerslaw.hh