Dumux::MimeticPressure2P< TypeTag > Class Template Reference

Mimetic method for the pressure equation. More...

#include <dumux/porousmediumflow/2p/sequential/diffusion/mimetic/pressure.hh>

Description

template<class TypeTag>
class Dumux::MimeticPressure2P< TypeTag >

Mimetic method for the pressure equation.

Provides a mimetic implementation for the evaluation of equations of the form

\[\text{div}\, \boldsymbol{v}_{total} = q.\]

The definition of the total velocity \(\boldsymbol{v}_total\) depends on the kind of pressure chosen. This could be a wetting (w) phase pressure leading to

\[ - \text{div}\, \left[\lambda \boldsymbol{K} \left(\text{grad}\, p_w + f_n \text{grad}\, p_c + \sum f_\alpha \rho_\alpha g \text{grad}\, z\right)\right] = q, \]

a non-wetting (n) phase pressure yielding

\[ - \text{div}\, \left[\lambda \boldsymbol{K} \left(\text{grad}\, p_n - f_w \text{grad}\, p_c + \sum f_\alpha \rho_\alpha g \text{grad}\, z\right)\right] = q, \]

or a global pressure leading to

\[ - \text{div}\, \left[\lambda \boldsymbol{K} \left(\text{grad}\, p_{global} + \sum f_\alpha \rho_\alpha g \text{grad}\, z\right)\right] = q.\]

Here, \(p\) denotes a pressure, \(\boldsymbol{K}\) the absolute permeability, \(\lambda\) the total mobility, possibly depending on the saturation, \(f\) the fractional flow function of a phase, \(\rho\) a phase density, \(g\) the gravity constant and \(q\) the source term. For all cases, \(p = p_D\) on \(\Gamma_{Neumann}\), and \(\boldsymbol{v}_{total} = q_N\) on \(\Gamma_{Dirichlet}\).

Template Parameters

TypeTag

The problem Type Tag

Public Member Functions
void	updateMaterialLaws ()
	Constitutive functions are initialized and stored in the variables object. More...
void	initialize (bool solveTwice=true)
	Initializes the model. More...
void	updateVelocity ()
	Velocity update. More...
void	update ()
template<class MultiWriter >
void	addOutputVtkFields (MultiWriter &writer)
	Write data file. More...
void	serializeEntity (std::ostream &outstream, const Element &element)
	General method for serialization, output. More...
void	deserializeEntity (std::istream &instream, const Element &element)
	General method for deserialization. More...
	MimeticPressure2P (Problem &problem)
	Constructs a MimeticPressure2P object. More...

Constructor & Destructor Documentation

MimeticPressure2P()

template<class TypeTag >

Dumux::MimeticPressure2P< TypeTag >::MimeticPressure2P ( Problem &  problem )

inline

Constructs a MimeticPressure2P object.

Parameters

problem

The Dumux problem

Member Function Documentation

addOutputVtkFields()

template<class TypeTag >

template<class MultiWriter >

void Dumux::MimeticPressure2P< TypeTag >::addOutputVtkFields ( MultiWriter &  writer )

inline

Write data file.

Template Parameters

MultiWriter

Class defining the output writer

Parameters

writer

The output writer (usually a VTKMultiWriter object)

deserializeEntity()

template<class TypeTag >

void Dumux::MimeticPressure2P< TypeTag >::deserializeEntity ( std::istream &  instream, const Element &  element  )

inline

General method for deserialization.

Parameters

instream	The input stream
element	The grid element

initialize()

template<class TypeTag >

void Dumux::MimeticPressure2P< TypeTag >::initialize ( bool  solveTwice = true )

inline

Initializes the model.

Function initializes the sparse matrix to solve the global system of equations and sets/calculates the initial pressure.

Parameters

solveTwice

indicates if more than one iteration is allowed to get an initial pressure solution

serializeEntity()

template<class TypeTag >

void Dumux::MimeticPressure2P< TypeTag >::serializeEntity ( std::ostream &  outstream, const Element &  element  )

inline

General method for serialization, output.

Function needed for restart option.

Parameters

outstream	The output stream
element	The grid element

update()

template<class TypeTag >

void Dumux::MimeticPressure2P< TypeTag >::update ( )

inline

updateMaterialLaws()

template<class TypeTag >

void Dumux::MimeticPressure2P< TypeTag >::updateMaterialLaws

Constitutive functions are initialized and stored in the variables object.

Constitutive functions are updated once if new saturations are calculated and stored in the variables object.

updateVelocity()

template<class TypeTag >

void Dumux::MimeticPressure2P< TypeTag >::updateVelocity ( )

inline

Velocity update.

Reset the velocities in the cellData.

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

• 2p/sequential/diffusion/mimetic/pressure.hh