Element-wise calculation of the Jacobian matrix for problems using the Richards fully implicit models.

#include <dumux/porousmediumflow/richards/localresidual.hh>

Inheritance diagram for Dumux::RichardsLocalResidual< TypeTag >:

Public Member Functions
NumEqVector	computeStorage (const Problem &problem, const SubControlVolume &scv, const VolumeVariables &volVars) const
	Evaluates the rate of change of all conservation quantites (e.g. phase mass) within a sub-control volume of a finite volume element for the immiscible models. More...

NumEqVector	computeFlux (const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const SubControlVolumeFace &scvf, const ElementFluxVariablesCache &elemFluxVarsCache) const
	Evaluates the mass flux over a face of a sub control volume. More...

template<class PartialDerivativeMatrix >
void	addStorageDerivatives (PartialDerivativeMatrix &partialDerivatives, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const VolumeVariables &curVolVars, const SubControlVolume &scv) const
	Adds the storage derivative. More...

template<class PartialDerivativeMatrix >
void	addSourceDerivatives (PartialDerivativeMatrix &partialDerivatives, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const VolumeVariables &curVolVars, const SubControlVolume &scv) const
	Adds source derivatives for wetting and nonwetting phase. More...

template<class PartialDerivativeMatrices , class T = TypeTag>
std::enable_if_t< GetPropType< T, Properties::GridGeometry >::discMethod==DiscretizationMethods::cctpfa, void >	addFluxDerivatives (PartialDerivativeMatrices &derivativeMatrices, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
	Adds flux derivatives for wetting and nonwetting phase for cell-centered FVM using TPFA. More...

template<class JacobianMatrix , class T = TypeTag>
std::enable_if_t< GetPropType< T, Properties::GridGeometry >::discMethod==DiscretizationMethods::box, void >	addFluxDerivatives (JacobianMatrix &A, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
	Adds flux derivatives for box method. More...

template<class PartialDerivativeMatrices >
void	addCCDirichletFluxDerivatives (PartialDerivativeMatrices &derivativeMatrices, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
	Adds cell-centered Dirichlet flux derivatives for wetting and nonwetting phase. More...

template<class PartialDerivativeMatrices >
void	addRobinFluxDerivatives (PartialDerivativeMatrices &derivativeMatrices, const Problem &problem, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &curElemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const
	Adds Robin flux derivatives for wetting and nonwetting phase. More...

Member Function Documentation

◆ addCCDirichletFluxDerivatives()

template<class TypeTag >

template<class PartialDerivativeMatrices >

void Dumux::RichardsLocalResidual< TypeTag >::addCCDirichletFluxDerivatives	(	PartialDerivativeMatrices &	derivativeMatrices,
		const Problem &	problem,
		const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const ElementVolumeVariables &	curElemVolVars,
		const ElementFluxVariablesCache &	elemFluxVarsCache,
		const SubControlVolumeFace &	scvf
	)		const

inline

Compute derivatives for the wetting and the nonwetting phase flux with respect to \(p_w\) and \(S_n\).

Parameters

derivativeMatrices	The matrices containing the derivatives
problem	The problem
element	The element
fvGeometry	The finite volume element geometry
curElemVolVars	The current element volume variables
elemFluxVarsCache	The element flux variables cache
scvf	The sub control volume face

◆ addFluxDerivatives() [1/2]

template<class TypeTag >

template<class JacobianMatrix , class T = TypeTag>

std::enable_if_t< GetPropType< T, Properties::GridGeometry >::discMethod==DiscretizationMethods::box, void > Dumux::RichardsLocalResidual< TypeTag >::addFluxDerivatives	(	JacobianMatrix &	A,
		const Problem &	problem,
		const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const ElementVolumeVariables &	curElemVolVars,
		const ElementFluxVariablesCache &	elemFluxVarsCache,
		const SubControlVolumeFace &	scvf
	)		const

inline

Parameters

A	The Jacobian Matrix
problem	The problem
element	The element
fvGeometry	The finite volume element geometry
curElemVolVars	The current element volume variables
elemFluxVarsCache	The element flux variables cache
scvf	The sub control volume face

◆ addFluxDerivatives() [2/2]

template<class TypeTag >

template<class PartialDerivativeMatrices , class T = TypeTag>

std::enable_if_t< GetPropType< T, Properties::GridGeometry >::discMethod==DiscretizationMethods::cctpfa, void > Dumux::RichardsLocalResidual< TypeTag >::addFluxDerivatives	(	PartialDerivativeMatrices &	derivativeMatrices,
		const Problem &	problem,
		const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const ElementVolumeVariables &	curElemVolVars,
		const ElementFluxVariablesCache &	elemFluxVarsCache,
		const SubControlVolumeFace &	scvf
	)		const

inline

Compute derivatives for the wetting and the nonwetting phase flux with respect to \(p_w\) and \(S_n\).

Parameters

derivativeMatrices	The partial derivatives
problem	The problem
element	The element
fvGeometry	The finite volume element geometry
curElemVolVars	The current element volume variables
elemFluxVarsCache	The element flux variables cache
scvf	The sub control volume face

◆ addRobinFluxDerivatives()

template<class TypeTag >

template<class PartialDerivativeMatrices >

void Dumux::RichardsLocalResidual< TypeTag >::addRobinFluxDerivatives	(	PartialDerivativeMatrices &	derivativeMatrices,
		const Problem &	problem,
		const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const ElementVolumeVariables &	curElemVolVars,
		const ElementFluxVariablesCache &	elemFluxVarsCache,
		const SubControlVolumeFace &	scvf
	)		const

inline

Parameters

derivativeMatrices	The matrices containing the derivatives
problem	The problem
element	The element
fvGeometry	The finite volume element geometry
curElemVolVars	The current element volume variables
elemFluxVarsCache	The element flux variables cache
scvf	The sub control volume face

◆ addSourceDerivatives()

template<class TypeTag >

template<class PartialDerivativeMatrix >

void Dumux::RichardsLocalResidual< TypeTag >::addSourceDerivatives	(	PartialDerivativeMatrix &	partialDerivatives,
		const Problem &	problem,
		const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const VolumeVariables &	curVolVars,
		const SubControlVolume &	scv
	)		const

inline

Parameters

partialDerivatives	The partial derivatives
problem	The problem
element	The element
fvGeometry	The finite volume element geometry
curVolVars	The current volume variables
scv	The sub control volume

◆ addStorageDerivatives()

template<class TypeTag >

template<class PartialDerivativeMatrix >

void Dumux::RichardsLocalResidual< TypeTag >::addStorageDerivatives	(	PartialDerivativeMatrix &	partialDerivatives,
		const Problem &	problem,
		const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const VolumeVariables &	curVolVars,
		const SubControlVolume &	scv
	)		const

inline

Parameters

partialDerivatives	The partial derivatives
problem	The problem
element	The element
fvGeometry	The finite volume element geometry
curVolVars	The current volume variables
scv	The sub control volume

◆ computeFlux()

template<class TypeTag >

NumEqVector Dumux::RichardsLocalResidual< TypeTag >::computeFlux	(	const Problem &	problem,
		const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const ElementVolumeVariables &	elemVolVars,
		const SubControlVolumeFace &	scvf,
		const ElementFluxVariablesCache &	elemFluxVarsCache
	)		const

inline

Parameters

problem	The problem
element	The current element.
fvGeometry	The finite-volume geometry
elemVolVars	The volume variables of the current element
scvf	The sub control volume face to compute the flux on
elemFluxVarsCache	The cache related to flux computation

Add advective phase energy fluxes for the water phase only. For isothermal model the contribution is zero.

Add diffusive energy fluxes. For isothermal model the contribution is zero. The effective lambda is averaged over both fluid phases and the solid phase

◆ computeStorage()

template<class TypeTag >

NumEqVector Dumux::RichardsLocalResidual< TypeTag >::computeStorage	(	const Problem &	problem,
		const SubControlVolume &	scv,
		const VolumeVariables &	volVars
	)		const

inline

Parameters

problem	The problem
scv	The sub control volume
volVars	The current or previous volVars

Note: This function should not include the source and sink terms.; The volVars can be different to allow computing the implicit euler time derivative here

The energy storage in the water, air and solid phase

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

porousmediumflow/richards/localresidual.hh

Public Member Functions

Member Function Documentation

◆ addCCDirichletFluxDerivatives()

◆ addFluxDerivatives() [1/2]

◆ addFluxDerivatives() [2/2]

◆ addRobinFluxDerivatives()

◆ addSourceDerivatives()

◆ addStorageDerivatives()

◆ computeFlux()

◆ computeStorage()