version 3.8

Three-phase (immiscible) Darcy flow. More...

Description

Adaption of the fully implicit scheme to the three-phase flow model.

This model implements three-phase flow of three fluid phases \(\alpha \in \{ water, gas, NAPL \}\). The standard multiphase Darcy approach is used as the equation for the conservation of momentum. For details on Darcy's law see dumux/flux/darcyslaw.hh.

By inserting Darcy's law into the equations for the conservation of the phase mass, one gets

\[ \frac{\partial (\phi \varrho_\alpha S_\alpha )}{\partial t} - \nabla \cdot \left\{ \varrho_\alpha \frac{k_{r\alpha}}{\mu_\alpha} \mathbf{K} \left(\nabla p_\alpha - \varrho_{\alpha} \mathbf{g} \right) \right\} - q_\alpha = 0, \]

where:

The model uses commonly applied auxiliary conditions like \(S_w + S_n + S_g = 1\) for the saturations. Furthermore, the phase pressures are related to each other via capillary pressures between the fluid phases, which are functions of the saturation, e.g. according to the approach of Parker et al.

The used primary variables are gas phase pressure \(p_g\), water saturation \(S_w\) and NAPL saturation \(S_n\).

Files

file  porousmediumflow/3p/indices.hh
 Defines the indices for the three-phase model.
 
file  porousmediumflow/3p/iofields.hh
 Adds I/O fields specific to the three-phase model.
 
file  porousmediumflow/3p/model.hh
 Adaption of the fully implicit scheme to the three-phase flow model.
 
file  porousmediumflow/3p/volumevariables.hh
 Contains the quantities which are constant within a finite volume in the three-phase model.
 

Classes

class  Dumux::ThreePIndices
 The common indices for the isothermal three-phase model. More...
 
class  Dumux::ThreePIOFields
 Adds I/O fields specific to the three-phase model. More...
 
struct  Dumux::ThreePModelTraits
 Specifies a number properties of three-phase models. More...
 
struct  Dumux::ThreePVolumeVariablesTraits< PV, FSY, FST, SSY, SST, PT, MT >
 Traits class for the two-phase model. More...
 
class  Dumux::ThreePVolumeVariables< Traits >
 Contains the quantities which are constant within a finite volume in the three-phase model. More...