1pnc

Single-phase, multi-component Darcy flow. More...

Description

Adaption of the fully implicit model to the one-phase n-component flow model.

This model implements a one-phase flow of a compressible fluid, that consists of n components, using a standard Darcy approach as the equation for the conservation of momentum. For details on Darcy's law see dumux/flux/darcyslaw.hh. Gravity can be enabled or disabled via the property system. By inserting Darcy's law into the continuity equation, one gets

\[ \frac{\partial (\phi \varrho) }{\partial t} - \nabla \cdot \left\{ \varrho \frac{\textbf K}{\mu} \left(\nabla p - \varrho {\textbf g} \right) \right\} = q. \]

The transport of the components \(\kappa \in \{ w, a, ... \}\) is described by the following equation:

\[ \frac{ \partial (\phi \varrho X^\kappa) }{\partial t} - \nabla \cdot \left\lbrace \varrho X^\kappa \frac{{\textbf K}}{\mu} \left( \nabla p - \varrho {\textbf g} \right) + \varrho D^\kappa_\text{pm} \nabla X^\kappa \right\rbrace = q, \]

where:

• \( \phi \) is the porosity of the porous medium,
• \( \varrho \) is the mass density,
• \( X^\kappa \) is the mass fraction of component \( \kappa \),
• \( \textbf{K} \) is the intrinsic permeability tensor,
• \( \mu \) represents the dynamic viscosity,
• \( p \) is the pressure,
• \( \textbf{g} \) is the gravitational acceleration vector,
• \( {\bf D_{pm}^\kappa} \) is the effective diffusivity in the porous medium,
• and \( q \) is a source or sink term.

The model is able to use either mole or mass fractions. The property useMoles can be set to either true or false in the problem file. Make sure that the according units are used in the problem setup. useMoles is set to true by default.

The primary variables are the pressure \(p\) and the mole fraction of dissolved components \(x^\kappa\).

Files
file	porousmediumflow/1pnc/indices.hh
	Defines the primary variable and equation indices used by the 1pnc model.
file	porousmediumflow/1pnc/iofields.hh
	Adds I/O fields specific to the OnePNC model.
file	porousmediumflow/1pnc/model.hh
	Adaption of the fully implicit model to the one-phase n-component flow model.
file	porousmediumflow/1pnc/volumevariables.hh
	Quantities required by the single-phase, n-component box model defined on a vertex.

Classes
struct	Dumux::OnePNCIndices
	The indices for the isothermal one-phase n-component model. More...
class	Dumux::OnePNCIOFields
	Adds I/O fields specific to the OnePNC model. More...
struct	Dumux::OnePNCModelTraits< nComp, useM, enableCompDisp, enableThermDisp, repCompEqIdx, CDM >
	Specifies a number properties of models that consider a single-phase with multiple components. More...
class	Dumux::OnePNCVolumeVariables< Traits >
	Contains the quantities which are are constant within a finite volume in the one-phase, n-component model. More...