extended Richards' equation More...

Description

This model implements a variant of the extended Richards' equation for quasi-twophase flow (see e.g. Vanderborght et al. 2017).

The extended Richards' equation

\[\frac{\partial (\phi S_w \varrho_w) }{\partial t} + \frac{\partial (\phi (1-S_w)\varrho_n X_n^w ) }{\partial t} - \nabla \cdot \left\lbrace \varrho_w \frac{k_{rw}}{\mu_w} \; \mathbf{K} \; \left( \nabla p_w - \varrho_w \textbf{g} \right) + {\bf D_{n, pm}^w} \varrho_n \nabla X^w_n \right\rbrace = q_w, \]

where:

\( \phi \) 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,
\( \varrho_n \) is the mass density of the non-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,
\( \bf D_{n,pm}^{w} \) is the effective diffusivity of water in the non-wetting phase,
\( X_n^w \) is the mass fraction of water in the non-wetting phase,
\( q_w \) is a source or sink term in the wetting phase,

additionally models water vapor diffusion in the gas phase. The model is derived based on the two-phase flow equations based on the assumption that the gas phase does not move but and remains at constant pressure.

Classes
struct	Dumux::ExtendedRichardsIndices
	Index names for the extended Richards model. More...
class	Dumux::ExtendedRichardsIOFields
	Adds I/O fields specific to the extended Richards model. More...
class	Dumux::ExtendedRichardsLocalResidual< TypeTag >
	Element-wise calculation of the Jacobian matrix for problems using the extended Richards fully implicit models. More...
struct	Dumux::ExtendedRichardsModelTraits
	Specifies a number properties of the extended Richards model. More...
class	Dumux::ExtendedRichardsVolumeVariables< Traits >
	Volume averaged quantities required by the extended Richards model. More...

Files
file	indices.hh
	Index names for the extended Richards model.
file	iofields.hh
	Adds I/O fields specific to the extended Richards model.
file	localresidual.hh
	Element-wise calculation of the Jacobian matrix for problems using the extended Richards fully implicit models.
file	model.hh
	This model implements a variant of the extended Richards' equation for quasi-twophase flow (see e.g. Vanderborght et al. 2017).
file	primaryvariableswitch.hh
	The primary variable switch for the extended Richards model.
file	volumevariables.hh
	Volume averaged quantities required by the extended Richards model.

Description

Classes

Files