version 3.8
extended Richards' equation

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

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

where:

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.

Files

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

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...