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	1p/sequential/celldata.hh
	Class including data of one grid cell.

file	1p/sequential/diffusion/cellcentered/pressure.hh
	Sequential OneP Model solving the equations for pressure and velocity separately.

file	1p/sequential/diffusion/cellcentered/pressureproperties.hh
	Defines the properties required for finite volume pressure models.

file	1p/sequential/diffusion/cellcentered/pressurevelocity.hh
	Single Phase Finite Volume Model.

file	1p/sequential/diffusion/cellcentered/velocity.hh
	Single phase finite volume velocity reconstruction.

file	porousmediumflow/1p/sequential/diffusion/problem.hh
	Base class for all single phase diffusion problems.

file	porousmediumflow/1p/sequential/diffusion/properties.hh
	Specifies the properties for 1p pressure models.

file	1p/sequential/fluxdata.hh
	Class storing data assigned to a cell-cell interfaces, so-called flux-data.

file	porousmediumflow/1p/sequential/indices.hh
	Defines the indices required for the sequential one-phase model.

file	porousmediumflow/1p/sequential/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. More...

void	Dumux::FVVelocity1P< TypeTag >::calculateVelocityOnBoundary (const Intersection &, CellData &)
	Calculates the velocity at a boundary. More...

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.