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3.1-git
DUNE for Multi-{Phase, Component, Scale, Physics, ...} flow and transport in porous media
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3.1-git
DUNE for Multi-{Phase, Component, Scale, Physics, ...} flow and transport in porous media
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Single-phase multi-component free-flow flow models. More...
Single-phase multi-component free-flow flow models.
A single-phase, isothermal Navier-Stokes model.
This model implements a single-phase, isothermal Navier-Stokes model, solving the momentum balance equation
\[ \frac{\partial (\varrho \textbf{v})}{\partial t} + \nabla \cdot (\varrho \textbf{v} \textbf{v}^{\textup{T}}) = \nabla \cdot (\mu (\nabla \textbf{v} + \nabla \textbf{v}^{\textup{T}})) - \nabla p + \varrho \textbf{g} - \textbf{f} \]
By setting the runtime parameter Problem.EnableInertiaTerms to false the Stokes equation can be solved. In this case the term
\[ \nabla \cdot (\varrho \textbf{v} \textbf{v}^{\textup{T}}) \]
is neglected.
The mass balance equation
\[ \frac{\partial \varrho}{\partial t} + \nabla \cdot (\varrho \textbf{v}) - q = 0 \]
closes the system.
So far, only the staggered grid spatial discretization (for structured grids) is available.
The system is closed by a component mass/mole balance equation for each component \(\kappa\):
\[ \frac{\partial \left(\varrho X^\kappa\right)}{\partial t} + \nabla \cdot \left( \varrho {\boldsymbol{v}} X^\kappa - (D^\kappa + D_\text{t}) \varrho \textbf{grad}\, X^\kappa \right) - q^\kappa = 0 \]
Alternatively, one component balance equation can be replace by a total mass/mole balance equation :
\[ \frac{\partial \varrho_g}{\partial t} + \nabla \cdot \left( \varrho {\boldsymbol{v}} - \sum_\kappa (D^\kappa + D_\text{t}) \varrho \textbf{grad}\, X^\kappa \right) - q = 0 \]
The eddy diffusivity \( D_\text{t} \) is related to the eddy viscosity \( \nu_\text{t} \) by the turbulent Schmidt number, for Navier-Stokes models \( D_\text{t} = 0 \).
\[ D_\text{t} = \frac{\nu_\text{t}}{\mathrm{Sc}_\text{t}} \]
So far, only the staggered grid spatial discretization (for structured grids) is available.
Files | |
| file | freeflow/compositional/fluxvariables.hh |
| file | dumux/freeflow/compositional/iofields.hh |
| file | kepsilonncmodel.hh |
| A single-phase, multi-component k-epsilon model. | |
| file | komegancmodel.hh |
| A single-phase, multi-component k-omega model. | |
| file | freeflow/compositional/localresidual.hh |
| file | lowrekepsilonncmodel.hh |
| A single-phase, multi-component low-Re k-epsilon model. | |
| file | navierstokesncmodel.hh |
| file | oneeqncmodel.hh |
| A single-phase, multi-component one-equation model. | |
| file | freeflow/compositional/staggered/fluxvariables.hh |
| file | freeflow/compositional/staggered/localresidual.hh |
| file | freeflow/compositional/volumevariables.hh |
| file | zeroeqncmodel.hh |
| A single-phase, multi-component Reynolds-Averaged Navier-Stokes 0-Eq. model. | |
Classes | |
| struct | Dumux::FreeflowNCIOFields< BaseOutputFields, turbulenceModel > |
| Adds I/O fields specific to the FreeflowNC model. More... | |
| struct | Dumux::Properties::KEpsilonNCModelTraits< dimension, nComp, useMoles, replaceCompEqIdx > |
| Traits for the low-Reynolds k-epsilon multi-component model states some specifics of the isothermal multi-component low-Reynolds k-epsilon model. More... | |
| struct | Dumux::Properties::KOmegaNCModelTraits< dimension, nComp, useMoles, replaceCompEqIdx > |
| Traits for the k-omega multi-component modelstates some specifics of the isothermal multi-component k-omega model. More... | |
| struct | Dumux::Properties::LowReKEpsilonNCModelTraits< dimension, nComp, useMoles, replaceCompEqIdx > |
| Traits for the low-Reynolds k-epsilon multi-component modelstates some specifics of the isothermal multi-component low-Reynolds k-epsilon model. More... | |
| struct | Dumux::NavierStokesNCModelTraits< dimension, nComp, useM, repCompEqIdx > |
| Traits for the multi-component free-flow model. More... | |
| struct | Dumux::Properties::OneEqNCModelTraits< dimension, nComp, useMoles, replaceCompEqIdx > |
| Traits for the one-equation multi-component modelstates some specifics of the isothermal multi-component one-equation model. More... | |
| class | Dumux::FreeflowNCFluxVariablesImpl< TypeTag, DiscretizationMethod::staggered > |
| The flux variables class for the multi-component free-flow model using the staggered grid discretization. More... | |
| class | Dumux::FreeflowNCResidualImpl< TypeTag, DiscretizationMethod::staggered > |
| Element-wise calculation of the multi-component free-flow residual for models using the staggered discretization. More... | |
| class | Dumux::FreeflowNCVolumeVariables< Traits > |
| Volume variables for the single-phase, multi-component free-flow model. More... | |
Typedefs | |
| template<class TypeTag > | |
| using | Dumux::FreeflowNCFluxVariables = FreeflowNCFluxVariablesImpl< TypeTag, GetPropType< TypeTag, Properties::GridGeometry >::discMethod > |
| The flux variables class for the multi-component free-flow model. This is a convenience alias for that actual, discretization-specific flux variables. More... | |
| template<class TypeTag > | |
| using | Dumux::FreeflowNCResidual = FreeflowNCResidualImpl< TypeTag, GetPropType< TypeTag, Properties::GridGeometry >::discMethod > |
| The local residual class for the multi-component free-flow model (balance equations). This is a convenience alias for the actual, discretization-specific local residual. More... | |
| using Dumux::FreeflowNCFluxVariables = typedef FreeflowNCFluxVariablesImpl<TypeTag, GetPropType<TypeTag, Properties::GridGeometry>::discMethod> |
The flux variables class for the multi-component free-flow model. This is a convenience alias for that actual, discretization-specific flux variables.
| using Dumux::FreeflowNCResidual = typedef FreeflowNCResidualImpl<TypeTag, GetPropType<TypeTag, Properties::GridGeometry>::discMethod> |
The local residual class for the multi-component free-flow model (balance equations). This is a convenience alias for the actual, discretization-specific local residual.
1.9.3