The finite volume model for the solution of the compositional pressure equation. More...

#include <dumux/porousmediumflow/2p2c/sequential/fvpressuremultiphysics.hh>

Inheritance diagram for Dumux::FVPressure2P2CMultiPhysics< TypeTag >:

Description

template<class TypeTag>
class Dumux::FVPressure2P2CMultiPhysics< TypeTag >

The finite volume model for the solution of the compositional pressure equation.

Provides a Finite Volume implementation for the pressure equation of a gas-liquid system with two components. An IMPES-like method is used for the sequential solution of the problem. Diffusion is neglected, capillarity can be regarded. Isothermal conditions and local thermodynamic equilibrium are assumed. Gravity is included.

\[ c_{total}\frac{\partial p}{\partial t} + \sum_{\kappa} \frac{\partial v_{total}}{\partial C^{\kappa}} \nabla \cdot \left( \sum_{\alpha} X^{\kappa}_{\alpha} \varrho_{alpha} \bf{v}_{\alpha}\right) = \sum_{\kappa} \frac{\partial v_{total}}{\partial C^{\kappa}} q^{\kappa}, \]

where \(\bf{v}_{\alpha} = - \lambda_{\alpha} \bf{K} \left(\nabla p_{\alpha} + \rho_{\alpha} \bf{g} \right) \). \( c_{total} \) represents the total compressibility, for constant porosity this yields \( - \frac{\partial V_{total}}{\partial p_{\alpha}} \), \(p_{\alpha} \) denotes the phase pressure, \( \bf{K} \) the absolute permeability, \( \lambda_{\alpha} \) the phase mobility, \( \rho_{\alpha} \) the phase density and \( \bf{g} \) the gravity constant and \( C^{\kappa} \) the total Component concentration. See paper SPE 99619 or "Analysis of a Compositional Model for Fluid Flow in Porous Media" by Chen, Qin and Ewing for derivation.

The partial derivatives of the actual fluid volume \( v_{total} \) are gained by using a secant method.

The model domain is automatically divided in a single-phase and a two-phase domain. The full 2p2c model is only evaluated within the two-phase subdomain, whereas a single-phase transport model is computed in the rest of the domain.

Template Parameters

TypeTag The Type Tag

Public Member Functions
void	assemble (bool first)
	function which assembles the system of equations to be solved More...

void	get1pSource (EntryType &sourceEntry, const Element &elementI, const CellData &cellDataI)
	Assembles the source term. More...

void	get1pStorage (EntryType &storageEntry, const Element &elementI, CellData &cellDataI)
	Assembles the storage term for a 1p cell in a multiphysics framework. More...

void	get1pFlux (EntryType &entries, const Intersection &intersection, const CellData &cellDataI)
	The compositional single-phase flux in the multiphysics framework. More...

void	get1pFluxOnBoundary (EntryType &entries, const Intersection &intersection, const CellData &cellDataI)
	The compositional single-phase flux in the multiphysics framework. More...

void	initialize (bool solveTwice=false)

void	serializeEntity (std::ostream &outstream, const Element &element)
	Function for serialization of the pressure field. More...

void	deserializeEntity (std::istream &instream, const Element &element)
	Function for deserialization of the pressure field. More...

void	updateMaterialLaws (bool postTimeStep=false)
	constitutive functions are updated once if new concentrations are calculated and stored in the variables container More...

void	update1pMaterialLawsInElement (const Element &elementI, CellData &cellData, bool postTimeStep)
	updates secondary variables of one single phase cell More...

template<class MultiWriter >
void	addOutputVtkFields (MultiWriter &writer)
	Write data files. More...

	FVPressure2P2CMultiPhysics (Problem &problem)
	Constructs a FVPressure2P2CPC object. More...

void	getSource (EntryType &sourceEntry, const Element &elementI, const CellData &cellDataI, const bool first)
	Assembles the source term. More...

void	getStorage (EntryType &storageEntry, const Element &elementI, const CellData &cellDataI, const bool first)
	Assembles the storage term. More...

void	getFlux (EntryType &entries, const Intersection &intersection, const CellData &cellDataI, const bool first)
	Get flux at an interface between two cells. More...

void	getFluxOnBoundary (EntryType &entries, const Intersection &intersection, const CellData &cellDataI, const bool first)
	Get flux on Boundary. More...

void	updateMaterialLawsInElement (const Element &elementI, bool postTimeStep)
	Updates secondary variables of one cell. More...

void	initialMaterialLaws (bool compositional)
	initializes the fluid distribution and hereby the variables container More...

void	initialize ()
	Initialize pressure model. More...

void	update ()
	Compositional pressure solution routine: update estimate for secants, assemble, solve. More...

void	volumeDerivatives (const GlobalPosition &, const Element &ep)
	Partial derivatives of the volumes w.r.t. changes in total concentration and pressure. More...

const Scalar	pressure (const int eIdxGlobal) const
	Public access function for the primary pressure variable. More...

const Matrix &	globalMatrix ()
	Returns the global matrix of the last pressure solution step. More...

const RHSVector &	rightHandSide ()
	Returns the right hand side vector of the last pressure solution step. More...

void	calculateVelocity ()

void	updateVelocity ()

void	setFixPressureAtIndex (Scalar pressure, int eIdxGlobal)
	Set a pressure to be fixed at a certain cell. More...

void	unsetFixPressureAtIndex (int eIdxGlobal)
	Reset the fixed pressure state. More...

void	resetFixPressureAtIndex ()

Protected Types
enum	{ rhs = 1 , matrix = 0 }
	Indices of matrix and rhs entries. More...

using	ElementMapper = typename SolutionTypes::ElementMapper

using	DataHandle = VectorExchange< ElementMapper, Dune::BlockVector< Dune::FieldVector< int, 1 > > >

enum	{ rhs = 1 , matrix = 0 }
	Indices of matrix and rhs entries. More...

enum	{ pressEqIdx = Indices::pressureEqIdx }

Protected Member Functions
void	initializeMatrix ()
	Initialize the global matrix of the system of equations to solve. More...

void	initializeMatrixRowSize ()
	Initialize the global matrix of the system of equations to solve. More...

void	initializeMatrixIndices ()
	Initialize the global matrix of the system of equations to solve. More...

void	solve ()
	Solves the global system of equations to get the spatial distribution of the pressure. More...

PressureSolution &	pressure ()
	Returns the vector containing the pressure solution. More...

const PressureSolution &	pressure () const
	Returns the vector containing the pressure solution. More...

void	initializePressure ()
	Initialization of the pressure solution vector: Initialization with meaningful values may. More...

Protected Attributes
Dune::BlockVector< Dune::FieldVector< int, 1 > >	nextSubdomain
	vector holding next subdomain More...

const GlobalPosition &	gravity_

Dune::Timer	timer_
	A timer for the time spent on the multiphysics framework. More...

Problem &	problem_

bool	enableVolumeIntegral
	Enables the volume integral of the pressure equation. More...

bool	regulateBoundaryPermeability
	Enables regulation of permeability in the direction of a Dirichlet Boundary Condition. More...

Scalar	minimalBoundaryPermeability
	Minimal limit for the boundary permeability. More...

Scalar	ErrorTermFactor_
	Handling of error term: relaxation factor. More...

Scalar	ErrorTermLowerBound_
	Handling of error term: lower bound for error dampening. More...

Scalar	ErrorTermUpperBound_

Matrix	A_
	Global stiffnes matrix (sparse matrix which is build by the `initializeMatrix()` function) More...

RHSVector	f_
	Right hand side vector. More...

Static Protected Attributes
static constexpr int	pressureType = GET_PROP_VALUE(TypeTag, PressureFormulation)
	gives kind of pressure used ( \( 0 = p_w \), \( 1 = p_n \), \( 2 = p_{global} \)) More...

general methods for output
TransportSolutionType	updateEstimate_
	Update estimate for changes in volume for the pressure equation. More...

VtkMultiWriter< GridView >	initializationOutputWriter_
	output for the initialization procedure More...

Scalar	maxError_
	Maximum volume error of all cells. More...

Scalar	incp_
	Increment for the volume derivative w.r.t pressure. More...

void	initializationOutput (double pseudoTS=0.)
	Write additional debug info in a special writer. More...

Member Typedef Documentation

◆ DataHandle

template<class TypeTag >

using Dumux::FVPressure2P2CMultiPhysics< TypeTag >::DataHandle = VectorExchange<ElementMapper, Dune::BlockVector<Dune::FieldVector<int, 1> > >

protected

◆ ElementMapper

template<class TypeTag >

using Dumux::FVPressure2P2CMultiPhysics< TypeTag >::ElementMapper = typename SolutionTypes::ElementMapper

protected

Member Enumeration Documentation

◆ anonymous enum

template<class TypeTag >

anonymous enum

protected

Indices of matrix and rhs entries.

During the assembling of the global system of equations get-functions are called (getSource(), getFlux(), etc.), which return global matrix or right hand side entries in a vector. These can be accessed using following indices:

Enumerator
rhs	index for the right hand side entry
matrix	index for the global matrix entry

◆ anonymous enum

template<class TypeTag >

anonymous enum

protectedinherited

Indices of matrix and rhs entries.

During the assembling of the global system of equations get-functions are called (getSource(), getFlux(), etc.), which return global matrix or right hand side entries in a vector. These can be accessed using following indices:

Enumerator
rhs	index for the right hand side entry
matrix	index for the global matrix entry

◆ anonymous enum

template<class TypeTag >

anonymous enum

protectedinherited

Enumerator
pressEqIdx

Constructor & Destructor Documentation

◆ FVPressure2P2CMultiPhysics()

template<class TypeTag >

Dumux::FVPressure2P2CMultiPhysics< TypeTag >::FVPressure2P2CMultiPhysics ( Problem & problem )

inline

Constructs a FVPressure2P2CPC object.

Parameters

problem a problem class object

Member Function Documentation

◆ addOutputVtkFields()

template<class TypeTag >

template<class MultiWriter >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::addOutputVtkFields ( MultiWriter & writer )

inline

Write data files.

Parameters

writer The writer

◆ assemble()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::assemble ( bool first )

function which assembles the system of equations to be solved

for first == true, this function assembles the matrix and right hand side for the solution of the pressure field in the same way as in the class FVPressure2P. for first == false, the approach is changed to

\[-\frac{\partial V}{\partial p} \frac{\partial p}{\partial t}+\sum_{\kappa}\frac{\partial V}{\partial m^{\kappa}}\nabla\cdot \left(\sum_{\alpha}C_{\alpha}^{\kappa}\mathbf{v}_{\alpha}\right) =\sum_{\kappa}\frac{\partial V}{\partial m^{\kappa}}q^{\kappa} \]

. See Paper SPE 99619. This is done to account for the volume effects which appear when gas and liquid are dissolved in each other.

Parameters

first Flag if pressure field is unknown

◆ calculateVelocity()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::calculateVelocity ( )

inlineinherited

◆ deserializeEntity()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::deserializeEntity	(	std::istream &	instream,
		const Element &	element
	)

inline

Function for deserialization of the pressure field.

Function needed for restart option. Reads the pressure of a grid element from a restart file.

Parameters

instream	Stream from the restart file.
element	Grid element

◆ get1pFlux()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::get1pFlux	(	EntryType &	entries,
		const Intersection &	intersection,
		const CellData &	cellDataI
	)

The compositional single-phase flux in the multiphysics framework.

If only single-phase conditions are encountered, the flux expression simplifies to (written for the case where the wetting phase is only present):

\[ A_{\gamma} \mathbf{n}_{\gamma}^T \mathbf{K} \lambda_w \mathbf{d}_{ij} \left( \frac{p_{w,j}^t - p^{t}_{w,i}}{\Delta x} + \varrho_{w} \mathbf{g}^T \mathbf{d}_{ij} \right) . \]

Parameters

entries	The Matrix and RHS entries
intersection	Intersection between cell I and J
cellDataI	Data of cell I

◆ get1pFluxOnBoundary()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::get1pFluxOnBoundary	(	EntryType &	entries,
		const Intersection &	intersection,
		const CellData &	cellDataI
	)

The compositional single-phase flux in the multiphysics framework.

If only single-phase conditions are encountered, the flux expression simplifies to (written for the case where the wetting phase is only present):

\[ A_{\gamma} \mathbf{n}_{\gamma}^T \mathbf{K} \varrho_w \lambda_w \mathbf{d}_{i-Boundary} \left( \frac{p_{w,Boundary}^t - p^{t}_{w,i}}{\Delta x} + \varrho_{w} \mathbf{g}^T \mathbf{d}_{i-Boundary} \right) . \]

If a Neumann BC is set, the given (mass-)flux is directly multiplied by the volume derivative and inserted.

Parameters

entries	The Matrix and RHS entries
intersection	Intersection between cell I and J
cellDataI	Data of cell I

◆ get1pSource()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::get1pSource	(	EntryType &	sourceEntry,
		const Element &	elementI,
		const CellData &	cellDataI
	)

Assembles the source term.

The source is translated into a volumentric source term:

\[ V_i \sum_{\kappa} \frac{1}{\varrho} q^{\kappa}_i \; , \]

because under singlephase conditions

\[ \frac{\partial v_{t}}{\partial C^{\kappa}} \approx \frac{1}{\varrho} \]

.

Parameters

sourceEntry	The Matrix and RHS entries
elementI	The element I
cellDataI	Data of cell I

◆ get1pStorage()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::get1pStorage	(	EntryType &	storageEntry,
		const Element &	elementI,
		CellData &	cellDataI
	)

Assembles the storage term for a 1p cell in a multiphysics framework.

The storage term comprises the (single-phase) compressibility (due to a change in pressure from last timestep):

\[ V_i c_{i} \frac{p^t_i - p^{t-\Delta t}_i}{\Delta t} \]

and the damped error introduced by the incorrect transport of the last timestep:

\[ V_i \alpha_r \frac{v_{t} - \phi}{\Delta t} \]

. The latter is damped according to Fritz 2011.

Parameters

storageEntry	The Matrix and RHS entries
elementI	The element I
cellDataI	Data of cell I

◆ getFlux()

template<class TypeTag >

void Dumux::FVPressure2P2C< TypeTag >::getFlux	(	EntryType &	entries,
		const Intersection &	intersection,
		const CellData &	cellDataI,
		const bool	first
	)

inherited

Get flux at an interface between two cells.

for first == true, the flux is calculated in traditional fractional-flow forn as in FVPressure2P. for first == false, the flux thorugh \( \gamma \) is calculated via a volume balance formulation

\[ - A_{\gamma} \mathbf{n}^T_{\gamma} \mathbf{K} \sum_{\alpha} \varrho_{\alpha} \lambda_{\alpha} \mathbf{d}_{ij} \left( \frac{p_{\alpha,j}^t - p^{t}_{\alpha,i}}{\Delta x} + \varrho_{\alpha} \mathbf{g}^T \mathbf{d}_{ij} \right) \sum_{\kappa} X^{\kappa}_{\alpha} \frac{\partial v_{t}}{\partial C^{\kappa}} + V_i \frac{A_{\gamma}}{U_i} \mathbf{d}^T \mathbf{K} \sum_{\alpha} \varrho_{\alpha} \lambda_{\alpha} \mathbf{d}_{ij} \left( \frac{p_{\alpha,j}^t - p^{t}_{\alpha,i}}{\Delta x} + \varrho_{\alpha} \mathbf{g}^T \mathbf{d}_{ij} \right) \sum_{\kappa} X^{\kappa}_{\alpha} \frac{\frac{\partial v_{t,j}}{\partial C^{\kappa}_j}-\frac{\partial v_{t,i}}{\partial C^{\kappa}_i}}{\Delta x} \]

This includes a boundary integral and a volume integral, because \( \frac{\partial v_{t,i}}{\partial C^{\kappa}_i} \) is not constant. Here, \( \mathbf{d}_{ij} \) is the normalized vector connecting the cell centers, and \( \mathbf{n}_{\gamma} \) represents the normal of the face \( \gamma \).

Parameters

entries	The Matrix and RHS entries
intersection	Intersection between cell I and J
cellDataI	Data of cell I
first	Flag if pressure field is unknown

◆ getFluxOnBoundary()

template<class TypeTag >

void Dumux::FVPressure2P2C< TypeTag >::getFluxOnBoundary	(	EntryType &	entries,
		const Intersection &	intersection,
		const CellData &	cellDataI,
		const bool	first
	)

inherited

Get flux on Boundary.

for first == true, the flux is calculated in traditional fractional-flow forn as in FVPressure2P. for first == false, the flux thorugh \( \gamma \) is calculated via a volume balance formulation

\[ - A_{\gamma} \mathbf{n}^T_{\gamma} \mathbf{K} \sum_{\alpha} \varrho_{\alpha} \lambda_{\alpha} \mathbf{d}_{ij} \left( \frac{p_{\alpha,j}^t - p^{t}_{\alpha,i}}{\Delta x} + \varrho_{\alpha} \mathbf{g}^T \mathbf{d}_{ij} \right) \sum_{\kappa} \frac{\partial v_{t}}{\partial C^{\kappa}} X^{\kappa}_{\alpha} \;, \]

where we skip the volume integral assuming \( \frac{\partial v_{t,i}}{\partial C^{\kappa}_i} \) to be constant at the boundary. Here, \( \mathbf{d}_{ij} \) is the normalized vector connecting the cell centers, and \( \mathbf{n}_{\gamma} \) represents the normal of the face \( \gamma \).

If a Neumann BC is set, the given (mass-)flux is directly multiplied by the volume derivative and inserted.

Parameters

entries	The Matrix and RHS entries
intersection	Intersection between cell I and J
cellDataI	Data of cell I
first	Flag if pressure field is unknown

◆ getSource()

template<class TypeTag >

void Dumux::FVPressure2P2C< TypeTag >::getSource	(	EntryType &	sourceEntry,
		const Element &	elementI,
		const CellData &	cellDataI,
		const bool	first
	)

inherited

Assembles the source term.

for first == true, a source is implemented as in FVPressure2P. for first == false, the source is translated into a volumentric source term:

\[ V_i \sum_{\kappa} \frac{\partial v_{t}}{\partial C^{\kappa}} q^{\kappa}_i \]

.

Parameters

sourceEntry	The Matrix and RHS entries
elementI	The element I
cellDataI	Data of cell I
first	Flag if pressure field is unknown

◆ getStorage()

template<class TypeTag >

void Dumux::FVPressure2P2C< TypeTag >::getStorage	(	EntryType &	storageEntry,
		const Element &	elementI,
		const CellData &	cellDataI,
		const bool	first
	)

inherited

Assembles the storage term.

for first == true, there is no storage contribution. for first == false, the storage term comprises the compressibility (due to a change in pressure from last timestep):

\[ V_i c_{t,i} \frac{p^t_i - p^{t-\Delta t}_i}{\Delta t} \]

and the damped error introduced by the incorrect transport of the last timestep:

\[ V_i \alpha_r \frac{v_{t} - \phi}{\Delta t} \]

. The latter is damped according to Fritz 2011.

Parameters

storageEntry	The Matrix and RHS entries
elementI	The element I
cellDataI	Data of cell I
first	Flag if pressure field is unknown

◆ globalMatrix()

template<class TypeTag >

const Matrix & Dumux::FVPressure< TypeTag >::globalMatrix ( )

inlineinherited

Returns the global matrix of the last pressure solution step.

◆ initializationOutput()

template<class TypeTag >

void Dumux::FVPressureCompositional< TypeTag >::initializationOutput ( double pseudoTS = 0. )

inlineinherited

Write additional debug info in a special writer.

To visualize the different steps through the initialization procedure, we use very small pseudo time steps only for the writer! This is only for debugging of the initialization procedure.

Parameters

pseudoTS Time steps that only appear in the writer, not real.

◆ initialize() [1/2]

template<class TypeTag >

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

inlineinherited

Initialize pressure model.

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

◆ initialize() [2/2]

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::initialize ( bool solveTwice = false )

inline

◆ initializeMatrix()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::initializeMatrix

protectedinherited

Initialize the global matrix of the system of equations to solve.

◆ initializeMatrixIndices()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::initializeMatrixIndices

protectedinherited

Initialize the global matrix of the system of equations to solve.

◆ initializeMatrixRowSize()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::initializeMatrixRowSize

protectedinherited

Initialize the global matrix of the system of equations to solve.

◆ initializePressure()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::initializePressure ( )

inlineprotectedinherited

Initialization of the pressure solution vector: Initialization with meaningful values may.

◆ initialMaterialLaws()

template<class TypeTag >

void Dumux::FVPressureCompositional< TypeTag >::initialMaterialLaws ( bool compositional )

inherited

initializes the fluid distribution and hereby the variables container

It differs from updateMaterialLaws() because there are two possible initial conditions: saturations and concentration.

Parameters

compositional flag that determines if compositional effects are regarded, i.e. a reasonable pressure field is known with which compositions can be calculated.

◆ pressure() [1/3]

template<class TypeTag >

PressureSolution & Dumux::FVPressure< TypeTag >::pressure ( )

inlineprotectedinherited

Returns the vector containing the pressure solution.

◆ pressure() [2/3]

template<class TypeTag >

const PressureSolution & Dumux::FVPressure< TypeTag >::pressure ( ) const

inlineprotectedinherited

Returns the vector containing the pressure solution.

◆ pressure() [3/3]

template<class TypeTag >

const Scalar Dumux::FVPressure< TypeTag >::pressure ( const int eIdxGlobal ) const

inlineinherited

Public access function for the primary pressure variable.

Function returns the cell pressure value at index eIdxGlobal

Parameters

eIdxGlobal Global index of a grid cell

◆ resetFixPressureAtIndex()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::resetFixPressureAtIndex ( )

inlineinherited

◆ rightHandSide()

template<class TypeTag >

const RHSVector & Dumux::FVPressure< TypeTag >::rightHandSide ( )

inlineinherited

Returns the right hand side vector of the last pressure solution step.

◆ serializeEntity()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::serializeEntity	(	std::ostream &	outstream,
		const Element &	element
	)

inline

Function for serialization of the pressure field.

Function needed for restart option. Writes the pressure of a grid element to a restart file.

Parameters

outstream	Stream into the restart file.
element	Grid element

◆ setFixPressureAtIndex()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::setFixPressureAtIndex	(	Scalar	pressure,
		int	eIdxGlobal
	)

inlineinherited

Set a pressure to be fixed at a certain cell.

Allows to fix a pressure somewhere (at one certain cell) in the domain. This can be necessary e.g. if only Neumann boundary conditions are defined. The pressure is fixed until the unsetFixPressureAtIndex() function is called

Parameters

pressure	Pressure value at eIdxGlobal
eIdxGlobal	Global index of a grid cell

◆ solve()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::solve

protectedinherited

Solves the global system of equations to get the spatial distribution of the pressure.

◆ unsetFixPressureAtIndex()

template<class TypeTag >

void Dumux::FVPressure< TypeTag >::unsetFixPressureAtIndex ( int eIdxGlobal )

inlineinherited

Reset the fixed pressure state.

No pressure is fixed inside the domain until setFixPressureAtIndex() function is called again.

Parameters

eIdxGlobal Global index of a grid cell

◆ update()

template<class TypeTag >

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

inlineinherited

Compositional pressure solution routine: update estimate for secants, assemble, solve.

An update estime (transport step acoording to old pressure field) determines changes in mass, composition, which is used to calculate volume derivatives entering the pressure equation, as well as an approximate guess for time step size for the storage terms in the p.e. Afterwards, the system is assembled and solved for pressure.

◆ update1pMaterialLawsInElement()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::update1pMaterialLawsInElement	(	const Element &	elementI,
		CellData &	cellData,
		bool	postTimeStep
	)

updates secondary variables of one single phase cell

For each element, the secondary variables are updated according to the primary variables. Only a simple flash calulation has to be carried out, as phase distribution is already known: single-phase.

Parameters

elementI	The element
cellData	The cell data of the current element
postTimeStep	Flag indicating if we have just completed a time step

◆ updateMaterialLaws()

template<class TypeTag >

void Dumux::FVPressure2P2CMultiPhysics< TypeTag >::updateMaterialLaws ( bool postTimeStep = false )

constitutive functions are updated once if new concentrations are calculated and stored in the variables container

In contrast to the standard sequential 2p2c model ( FVPressure2P2C<TypeTag>::updateMaterialLaws() ), this method also holds routines to adapt the subdomain. The subdomain indicates weather we are in 1p domain (value = 1) or in the two phase subdomain (value = 2). Note that the type of flash, i.e. the type of FluidState (FS), present in each cell does not have to coincide with the subdomain. If a cell will be simple and was complex, a complex FS is available, so next time step will use this complex FS, but updateMaterialLaw afterwards will finally transform that to simple FS.

Parameters

postTimeStep Flag indicating method is called from Problem::postTimeStep()

◆ updateMaterialLawsInElement()

template<class TypeTag >

void Dumux::FVPressure2P2C< TypeTag >::updateMaterialLawsInElement	(	const Element &	element,
		bool	postTimeStep
	)

inherited

Updates secondary variables of one cell.

For each element, the secondary variables are updated according to the primary variables. In case the method is called after the Transport, i.e. at the end / post time step, CellData2p2c.reset() resets the volume derivatives for the next time step.

Parameters

element	The element
postTimeStep	Flag indicating if we have just completed a time step

◆ updateVelocity()

template<class TypeTag >

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

inlineinherited

◆ volumeDerivatives()

template<class TypeTag >

void Dumux::FVPressureCompositional< TypeTag >::volumeDerivatives	(	const GlobalPosition &	globalPos,
		const Element &	element
	)

inherited

Partial derivatives of the volumes w.r.t. changes in total concentration and pressure.

This method calculates the volume derivatives via a secant method, where the secants are gained in a pre-computational step via the transport equation and the last TS size. The partial derivatives w.r.t. mass are defined as \( \frac{\partial v}{\partial C^{\kappa}} = \frac{\partial V}{\partial m^{\kappa}}\)

Parameters

globalPos	The global position of the current element
element	The current element

Member Data Documentation

◆ A_

template<class TypeTag >

Matrix Dumux::FVPressure< TypeTag >::A_

protectedinherited

Global stiffnes matrix (sparse matrix which is build by the initializeMatrix() function)

◆ enableVolumeIntegral

template<class TypeTag >

bool Dumux::FVPressure2P2C< TypeTag >::enableVolumeIntegral

protectedinherited

Enables the volume integral of the pressure equation.

◆ ErrorTermFactor_

template<class TypeTag >

Scalar Dumux::FVPressure2P2C< TypeTag >::ErrorTermFactor_

protectedinherited

Handling of error term: relaxation factor.

◆ ErrorTermLowerBound_

template<class TypeTag >

Scalar Dumux::FVPressure2P2C< TypeTag >::ErrorTermLowerBound_

protectedinherited

Handling of error term: lower bound for error dampening.

◆ ErrorTermUpperBound_

template<class TypeTag >

Scalar Dumux::FVPressure2P2C< TypeTag >::ErrorTermUpperBound_

protectedinherited

Handling of error term: upper bound for error dampening

◆ f_

template<class TypeTag >

RHSVector Dumux::FVPressure< TypeTag >::f_

protectedinherited

Right hand side vector.

◆ gravity_

template<class TypeTag >

const GlobalPosition& Dumux::FVPressure2P2CMultiPhysics< TypeTag >::gravity_

protected

vector including the gravity constant

◆ incp_

template<class TypeTag >

Scalar Dumux::FVPressureCompositional< TypeTag >::incp_

protectedinherited

Increment for the volume derivative w.r.t pressure.

◆ initializationOutputWriter_

template<class TypeTag >

VtkMultiWriter<GridView> Dumux::FVPressureCompositional< TypeTag >::initializationOutputWriter_

protectedinherited

output for the initialization procedure

◆ maxError_

template<class TypeTag >

Scalar Dumux::FVPressureCompositional< TypeTag >::maxError_

protectedinherited

Maximum volume error of all cells.

◆ minimalBoundaryPermeability

template<class TypeTag >

Scalar Dumux::FVPressure2P2C< TypeTag >::minimalBoundaryPermeability

protectedinherited

Minimal limit for the boundary permeability.

◆ nextSubdomain

template<class TypeTag >

Dune::BlockVector<Dune::FieldVector<int,1> > Dumux::FVPressure2P2CMultiPhysics< TypeTag >::nextSubdomain

protected

vector holding next subdomain

◆ pressureType

template<class TypeTag >

constexpr int Dumux::FVPressure2P2CMultiPhysics< TypeTag >::pressureType = GET_PROP_VALUE(TypeTag, PressureFormulation)

staticconstexprprotected

gives kind of pressure used ( \( 0 = p_w \), \( 1 = p_n \), \( 2 = p_{global} \))

◆ problem_

template<class TypeTag >

Problem& Dumux::FVPressure2P2C< TypeTag >::problem_

protectedinherited

◆ regulateBoundaryPermeability

template<class TypeTag >

bool Dumux::FVPressure2P2C< TypeTag >::regulateBoundaryPermeability

protectedinherited

Enables regulation of permeability in the direction of a Dirichlet Boundary Condition.

◆ timer_

template<class TypeTag >

Dune::Timer Dumux::FVPressure2P2CMultiPhysics< TypeTag >::timer_

protected

A timer for the time spent on the multiphysics framework.

◆ updateEstimate_

template<class TypeTag >

TransportSolutionType Dumux::FVPressureCompositional< TypeTag >::updateEstimate_

protectedinherited

Update estimate for changes in volume for the pressure equation.

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

fvpressuremultiphysics.hh

Description

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Static Protected Attributes

general methods for output

Member Typedef Documentation

◆ DataHandle

◆ ElementMapper

Member Enumeration Documentation

◆ anonymous enum

◆ anonymous enum

◆ anonymous enum

Constructor & Destructor Documentation

◆ FVPressure2P2CMultiPhysics()

Member Function Documentation

◆ addOutputVtkFields()

◆ assemble()

◆ calculateVelocity()

◆ deserializeEntity()

◆ get1pFlux()

◆ get1pFluxOnBoundary()

◆ get1pSource()

◆ get1pStorage()

◆ getFlux()

◆ getFluxOnBoundary()

◆ getSource()

◆ getStorage()

◆ globalMatrix()

◆ initializationOutput()

◆ initialize() [1/2]

◆ initialize() [2/2]

◆ initializeMatrix()

◆ initializeMatrixIndices()

◆ initializeMatrixRowSize()

◆ initializePressure()

◆ initialMaterialLaws()

◆ pressure() [1/3]

◆ pressure() [2/3]

◆ pressure() [3/3]

◆ resetFixPressureAtIndex()

◆ rightHandSide()

◆ serializeEntity()

◆ setFixPressureAtIndex()

◆ solve()

◆ unsetFixPressureAtIndex()

◆ update()

◆ update1pMaterialLawsInElement()

◆ updateMaterialLaws()

◆ updateMaterialLawsInElement()

◆ updateVelocity()

◆ volumeDerivatives()

Member Data Documentation

◆ A_

◆ enableVolumeIntegral

◆ ErrorTermFactor_

◆ ErrorTermLowerBound_

◆ ErrorTermUpperBound_

◆ f_

◆ gravity_

◆ incp_

◆ initializationOutputWriter_

◆ maxError_

◆ minimalBoundaryPermeability

◆ nextSubdomain

◆ pressureType

◆ problem_

◆ regulateBoundaryPermeability

◆ timer_

◆ updateEstimate_