Compositional

Single-phase multi-component free-flow flow models. More...

Description

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...

Typedef Documentation

FreeflowNCFluxVariables

template<class TypeTag >

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.

Note

Not all specializations are currently implemented

FreeflowNCResidual

template<class TypeTag >

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.

Note

Not all specializations are currently implemented