Richards multi-component

Richards multi-component flow. More...

Description

Base class for all models which use the Richards, n-component fully implicit model.

This extension of Richards' equation, allows for the wetting phase to consist of multiple components:

$$\begin{array}{rcl}& & \frac{\partial (\sum _w{\varrho }_w{X}_w^{\kappa }\varphi S_w)}{\partial t}-\sum _w\mathrm{\nabla }\cdot \{{\varrho }_w{X}_w^{\kappa }\frac{k_{rw}}{{\mu }_w}\mathbf{K}(\mathrm{\nabla }{p}_w-{\varrho }_w\mathbf{g})\}\\ \\ & -& \sum _w\mathrm{\nabla }\cdot \left\{{\mathbf{D}}_{\mathbf{w}\mathbf{,}\mathbf{p}\mathbf{m}}^{\kappa }{\varrho }_w\mathrm{\nabla }{X}_w^{\kappa }\right\}-\sum _w{q}_w^{\kappa }=0\kappa \in \{w,a,\cdots \},w\in \{w,g\},\end{array}$$

where:

• $\varphi$ is the porosity of the porous medium,
• $S_w$ represents the saturation of the wetting phase,
• ${\varrho }_w$ is the mass density of the wetting phase,
• $k_{rw}$ is the relative permeability of the wetting phase,
• ${\mu }_w$ is the dynamic viscosity of the wetting phase,
• $\mathbf{K}$ is the intrinsic permeability tensor,
• $p_w$ is the pressure of the wetting phase,
• $\mathbf{g}$ is the gravitational acceleration vector,
• ${\mathbf{D}}_{\mathbf{w}\mathbf{,}\mathbf{p}\mathbf{m}}^{\mathbf{k}}$ is the effective diffusivity of component $\kappa$ in the wetting phase,
• $X_w^k$ is the mass fraction of component $\kappa$ in the wetting phase,
• $q_w$ is a source or sink term in the wetting phase.

Files
file	porousmediumflow/richardsnc/indices.hh
	Defines the primary variable and equation indices used by the richardsnc model.
file	porousmediumflow/richardsnc/iofields.hh
	Adds I/O fields specific to the Richards model.
file	porousmediumflow/richardsnc/model.hh
	Base class for all models which use the Richards, n-component fully implicit model.
file	porousmediumflow/richardsnc/volumevariables.hh
	Contains the quantities which are constant within a finite volume in the Richards, n-component model.

Classes
struct	Dumux::RichardsNCIndices
	The indices for the isothermal Richards, n-component model. More...
class	Dumux::RichardsNCIOFields
	Adds I/O fields specific to the Richards model. More...
struct	Dumux::RichardsNCModelTraits< nComp, useMol, repCompEqIdx >
	Specifies a number properties of the Richards n-components model. More...
struct	Dumux::RichardsNCVolumeVariablesTraits< PV, FSY, FST, SSY, SST, PT, MT, DT, EDM >
	Traits class for the Richards n-components model. More...
class	Dumux::RichardsNCVolumeVariables< Traits >
	Contains the quantities which are constant within a finite volume in the Richards, n-component model. More...