version 3.8.0
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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  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.
 

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...