Two-phase (immiscible) Darcy flow. More...
Adaption of the fully implicit scheme to the two-phase flow model.
This model implements two-phase flow of two immiscible fluids \(\alpha \in \{ w, n \}\) using a standard multi-phase Darcy approach 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:
By using constitutive relations for the capillary pressure \(p_c =
p_n - p_w\) and relative permeability \(k_{r\alpha}\) and taking advantage of the fact that \(S_w + S_n = 1\), the number of unknowns can be reduced to two. Currently the model supports choosing either \(p_w\) and \(S_n\) or \(p_n\) and \(S_w\) as primary variables. The formulation which ought to be used can be specified by setting the Formulation property to either TwoPFormulation::pwsn or TwoPFormulation::pnsw. By default, the model uses \(p_w\) and \(S_n\).
Files | |
| file | boxmaterialinterfaces.hh |
| Class that determines the material with the lowest capillary pressure (under fully water-saturated conditions) around the nodes of a grid. | |
| file | formulation.hh |
| Defines an enumeration for the formulations accepted by the two-phase model. | |
| file | gridadaptindicator.hh |
| Class defining a standard, saturation dependent indicator for grid adaptation. | |
| file | griddatatransfer.hh |
| Performs the transfer of data on a grid from before to after adaptation. | |
| file | incompressiblelocalresidual.hh |
| Element-wise calculation of the residual and its derivatives for a two-phase, incompressible test problem. | |
| file | indices.hh |
| Defines the indices required for the two-phase fully implicit model. | |
| file | iofields.hh |
| Adds I/O fields specific to the two-phase model. | |
| file | model.hh |
| Adaption of the fully implicit scheme to the two-phase flow model. | |
| file | saturationreconstruction.hh |
| Class that computes the nonwetting saturation in an scv from the saturation at the global degree of freedom. | |
| file | volumevariables.hh |
| Contains the quantities which are constant within a finite volume in the two-phase model. | |
Classes | |
| class | Dumux::BoxMaterialInterfaces< GridGeometry, PcKrSw > |
| Class that determines the material with the lowest capillary pressure (under fully water-saturated conditions) around the nodes of a grid. More... | |
| class | Dumux::TwoPGridAdaptIndicator< TypeTag > |
| Class defining a standard, saturation dependent indicator for grid adaptation. More... | |
| class | Dumux::TwoPGridDataTransfer< TypeTag > |
| Class performing the transfer of data on a grid from before to after adaptation. More... | |
| class | Dumux::TwoPIncompressibleLocalResidual< TypeTag > |
| Element-wise calculation of the residual and its derivatives for a two-phase, incompressible test problem. More... | |
| struct | Dumux::TwoPIndices |
| Defines the indices required for the two-phase fully implicit model. More... | |
| class | Dumux::TwoPIOFields |
| Adds I/O fields specific to the two-phase model. More... | |
| struct | Dumux::TwoPModelTraits< formulation > |
| Specifies a number properties of two-phase models. More... | |
| struct | Dumux::TwoPVolumeVariablesTraits< PV, FSY, FST, SSY, SST, PT, MT, SR > |
| Traits class for the two-phase model. More... | |
| class | Dumux::TwoPScvSaturationReconstruction< DiscretizationMethod, enableReconstruction > |
| Class that computes the nonwetting saturation in an scv from the saturation at the global degree of freedom. More... | |
| class | Dumux::TwoPVolumeVariables< Traits > |
| Contains the quantities which are are constant within a finite volume in the two-phase model. More... | |
Enumerations | |
| enum class | Dumux::TwoPFormulation { Dumux::TwoPFormulation::p0s1 , Dumux::TwoPFormulation::p1s0 } |
| Enumerates the formulations which the two-phase model accepts. More... | |
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