Sequential single-phase (immiscible) Darcy flow. More...

Description

Sequential single-phase (immiscible) Darcy flow.

Pressure

This model solves equations of the form

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

The velocity \( \boldsymbol v \) is the single phase Darcy velocity:

\[ \boldsymbol v = -\frac{1}{\mu} \boldsymbol K \left(\textbf{grad}\, p + \rho \, g \, \textbf{grad}\, z\right), \]

where \( p \) is the pressure, \( \boldsymbol K \) the absolute permeability, \( \mu \) the viscosity, \( \rho \) the density, and \( g \) the gravity constant, and \( q \) is the source term. At the boundary, \( p = p_D \) on \( \Gamma_{Dirichlet} \), and \( \boldsymbol v \cdot \boldsymbol n = q_N\) on \( \Gamma_{Neumann} \).

Template Parameters

TypeTag The Type Tag

Velocity

Calculates velocities from a known pressure field applying a finite volume discretization. The pressure has to be given as piecewise constant cell values. The velocity is calculated following Darcy's law as

\[\boldsymbol v = -\frac{1}{\mu} \boldsymbol K \left(\textbf{grad}\, p + \rho g \textbf{grad}\, z\right), \]

where, \( p \) is the pressure, \( \boldsymbol K \) the absolute permeability, \( \mu \) the viscosity, \( \rho \) the density and \( g \) the gravity constant.

Template Parameters

TypeTag The Type Tag

Files
file	celldata.hh
	Class including data of one grid cell.
file	pressure.hh
	Sequential OneP Model solving the equations for pressure and velocity separately.
file	pressureproperties.hh
	Defines the properties required for finite volume pressure models.
file	pressurevelocity.hh
	Single Phase Finite Volume Model.
file	velocity.hh
	Single phase finite volume velocity reconstruction.
file	problem.hh
	Base class for all single phase diffusion problems.
file	properties.hh
	Specifies the properties for 1p pressure models.
file	fluxdata.hh
	Class storing data assigned to a cell-cell interfaces, so-called flux-data.
file	indices.hh
	Defines the indices required for the sequential one-phase model.
file	properties.hh
	Defines the properties required for the single phase sequential model.

Classes
class	Dumux::CellData1P< TypeTag >
	Class including data of one grid cell. More...
class	Dumux::FVPressure1P< TypeTag >
	Sequential OneP Model solving the equations for pressure and velocity separately. More...
class	Dumux::FVPressureVelocity1P< TypeTag >
	Single Phase Finite Volume Model. More...
class	Dumux::FVVelocity1P< TypeTag >
	Single phase finite volume velocity reconstruction. More...
class	Dumux::DiffusionProblem1P< TypeTag >
	Base class for all single phase diffusion problems. More...
class	Dumux::FluxData1P< TypeTag >
	Class storing data assigned to a cell-cell interfaces, so-called flux-data. More...
struct	Dumux::SequentialOnePCommonIndices
	The common indices for the 1-p models. More...

Functions
void	Dumux::FVVelocity1P< TypeTag >::calculateVelocity (const Intersection &, CellData &)
	Calculates the velocity at a cell-cell interface.
void	Dumux::FVVelocity1P< TypeTag >::calculateVelocityOnBoundary (const Intersection &, CellData &)
	Calculates the velocity at a boundary.

Function Documentation

◆ calculateVelocity()

template<class TypeTag>

void Dumux::FVVelocity1P< 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

◆ calculateVelocityOnBoundary()

template<class TypeTag>

void Dumux::FVVelocity1P< TypeTag >::calculateVelocityOnBoundary	(	const Intersection &	intersection,
		CellData &	cellData )

Calculates the velocity at a boundary.

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