Dumux::FVVelocity2P< TypeTag > Class Template Reference

Determines the velocity from a finite volume solution of the pressure equation of a sequential model (IMPES). More...

#include <dumux/porousmediumflow/2p/sequential/diffusion/cellcentered/velocity.hh>

Inheritance diagram for Dumux::FVVelocity2P< TypeTag >:

Description

template<class TypeTag>
class Dumux::FVVelocity2P< TypeTag >

Determines the velocity from a finite volume solution of the pressure equation of a sequential model (IMPES).

Calculates phase velocities or total velocity from a known pressure field applying a finite volume discretization. The wetting or the non-wetting phase pressure, or the global pressure has to be given as piecewise constant cell values. The phase velocities are calculated following Darcy's law as

\[ v_\alpha = - \frac{k_{r\alpha}}{\mu_\alpha} \textbf{K} \left(\textbf{grad}\, p_\alpha - \varrho_{\alpha} {\textbf g} \right), \]

where \( p_\alpha \) denotes the pressure of phase \(\alpha \in \{ w, n \}\), \( \boldsymbol K \) the absolute permeability tensor, \( \lambda_\alpha \) the phase mobility, \( \varrho_\alpha \) the phase density and \( {\textbf g} \) the gravitational acceleration vector. The total velocity is either calculated as sum of the phase velocities

\[ \boldsymbol v_{total} = \boldsymbol v_{wetting}+\boldsymbol v_{non-wetting}, \]

or with a given global pressure

\[ \boldsymbol v_{total} = \lambda_{total} \boldsymbol K \left(\textbf{grad}\, p_{global} - \sum f_\alpha \varrho_\alpha {\textbf g}\right). \]

Template Parameters

TypeTag

The Type Tag

Public Member Functions
	FVVelocity2P (Problem &problem)
	Constructs a FVVelocity2P object. More...
void	initialize ()
	For initialization. More...
void	calculateVelocity (const Intersection &, CellData &)
	Calculates the velocity at a cell-cell interface. More...
void	calculateVelocityOnBoundary (const Intersection &, CellData &)
	Calculates the velocity at a boundary. More...
bool	calculateVelocityInTransport ()
	Indicates if velocity is reconstructed in the pressure step or in the transport step. More...
template<class MultiWriter >
void	addOutputVtkFields (MultiWriter &writer)
	Adds velocity output to the output file. More...

Constructor & Destructor Documentation

FVVelocity2P()

template<class TypeTag >

Dumux::FVVelocity2P< TypeTag >::FVVelocity2P ( Problem &  problem )

inline

Constructs a FVVelocity2P object.

Parameters

problem

A Problem class object

Member Function Documentation

addOutputVtkFields()

template<class TypeTag >

template<class MultiWriter >

void Dumux::FVVelocity2P< TypeTag >::addOutputVtkFields ( MultiWriter &  writer )

inline

Adds velocity output to the output file.

Adds the phase velocities or a total velocity (depending on the formulation) to the output.

Template Parameters

MultiWriter

Class defining the output writer

Parameters

writer

The output writer (usually a VTKMultiWriter object)

calculateVelocity()

template<class TypeTag >

void Dumux::FVVelocity2P< TypeTag >::calculateVelocity	(	const Intersection &	intersection,
		CellData &	cellData
	)

Calculates the velocity at a cell-cell interface.

Calculates the velocity at a cell-cell interface from a given pressure field.

Parameters

intersection	Intersection of two grid cells
cellData	Object containing all model relevant cell data

calculateVelocityInTransport()

template<class TypeTag >

bool Dumux::FVVelocity2P< TypeTag >::calculateVelocityInTransport ( )

inline

Indicates if velocity is reconstructed in the pressure step or in the transport step.

Returns true (In the standard finite volume discretization the velocity is calculated during the saturation transport.)

calculateVelocityOnBoundary()

template<class TypeTag >

void Dumux::FVVelocity2P< TypeTag >::calculateVelocityOnBoundary	(	const Intersection &	intersection,
		CellData &	cellData
	)

Calculates the velocity at a boundary.

Calculates the velocity at a boundary from a given pressure field.

Parameters

intersection	Boundary intersection
cellData	Object containing all model relevant cell data

initialize()

template<class TypeTag >

void Dumux::FVVelocity2P< TypeTag >::initialize ( )

inline

For initialization.

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

• 2p/sequential/diffusion/cellcentered/velocity.hh