Two-phase, one-component Darcy flow. More...
A two-phase one-component flow model using the fully implicit scheme.
This model is designed for simulating two fluid phases with water as the only component. It is particularly suitable for the simulation of steam injection in saturated conditions.
The model implements the flow of two phases and one component, i.e. a pure liquid (e.g. water) and its vapor (e.g. steam), \(\alpha \in \{ w, n \}\) 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
\[ \frac{\partial\ \sum_\alpha (\phi \rho_\alpha S_\alpha)}{\partial t} \\-\sum \limits_ \alpha \nabla \cdot \left \{\rho_\alpha \frac{k_{r\alpha}}{\mu_\alpha} \mathbf{K} (\nabla p_\alpha - \rho_\alpha \mathbf{g}) \right \} -q^w =0, \]
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. The model features a primary variable switch. If only one phase is present, \(p_n\) and \(T\) are the primary variables. In the presence of two phases, \(p_n\) and \(S_w\) become the new primary variables.
Files | |
file | porousmediumflow/2p1c/darcyslaw.hh |
file | porousmediumflow/2p1c/indices.hh |
file | porousmediumflow/2p1c/iofields.hh |
file | porousmediumflow/2p1c/localresidual.hh |
file | porousmediumflow/2p1c/model.hh |
A two-phase one-component flow model using the fully implicit scheme. | |
file | 2p1c/primaryvariableswitch.hh |
file | porousmediumflow/2p1c/volumevariables.hh |
Classes | |
class | Dumux::TwoPOneCDarcysLaw< TypeTag > |
Specialization of Darcy's Law for the two-phase one-component model, including a the possibility to block spurious fluxes of cold water into the steam zone, which can improve the model's convergence behavior (Gudbjerg et al., 2005) [41]. More... | |
class | Dumux::TwoPOneCIndices |
The indices for the two-phase one-component model. More... | |
class | Dumux::TwoPOneCIOFields |
Adds I/O fields specific to two-phase one-component model. More... | |
class | Dumux::TwoPOneCLocalResidual< TypeTag > |
Element-wise calculation of the residual for the fully implicit two-phase one-component flow model. More... | |
struct | Dumux::TwoPOneCNIModelTraits< f > |
Specifies a number properties of models considering two phases with water as a single component. More... | |
struct | Dumux::TwoPOneCVolumeVariablesTraits< PV, FSY, FST, SSY, SST, PT, MT > |
Traits class for the two-phase model. More... | |
class | Dumux::TwoPOneCPrimaryVariableSwitch |
The primary variable switch for the two-phase one-component model. More... | |
class | Dumux::TwoPOneCVolumeVariables< Traits > |
The volume variables (i.e. secondary variables) for the two-phase one-component model. More... | |