Navier-Stokes

Single-phase Navier-Stokes flow. More...

Description

A single-phase, isothermal Navier-Stokes model.

This model implements a single-phase, isothermal Navier-Stokes model, solving the momentum balance equation

$$\frac{\partial (\varrho \mathbf{\text{v}})}{\partial t}+\mathrm{\nabla }\cdot (\varrho \mathbf{\text{v}}{\mathbf{\text{v}}}^{\text{T}})=\mathrm{\nabla }\cdot (\mu (\mathrm{\nabla }\mathbf{\text{v}}+\mathrm{\nabla }{\mathbf{\text{v}}}^{\text{T}}))-\mathrm{\nabla }p+\varrho \mathbf{\text{g}}-\mathbf{\text{f}}$$

By setting the runtime parameter Problem.EnableInertiaTerms to false the Stokes equation can be solved. In this case the term

$$\mathrm{\nabla }\cdot (\varrho \mathbf{\text{v}}{\mathbf{\text{v}}}^{\text{T}})$$

is neglected.

The mass balance equation

$$\frac{\partial \varrho }{\partial t}+\mathrm{\nabla }\cdot (\varrho \mathbf{\text{v}})-q=0$$

closes the system.

Files
file	freeflow/navierstokes/boundarytypes.hh
file	fluxoveraxisalignedsurface.hh
file	freeflow/navierstokes/fluxvariables.hh
file	freeflow/navierstokes/indices.hh
file	freeflow/navierstokes/iofields.hh
file	freeflow/navierstokes/localresidual.hh
file	1p/advectiveflux.hh
	Helper struct defining the advective fluxes of the single-phase flow Navier-Stokes mass model.
file	freeflow/navierstokes/mass/1p/fluxvariables.hh
file	freeflow/navierstokes/mass/1p/indices.hh
file	freeflow/navierstokes/mass/1p/localresidual.hh
file	freeflow/navierstokes/mass/1p/model.hh
	A single-phase, isothermal Navier-Stokes model.
file	freeflow/navierstokes/mass/1p/volumevariables.hh
file	1pnc/advectiveflux.hh
	Helper struct defining the advective fluxes of the single-phase flow multicomponent Navier-Stokes mass model.
file	freeflow/navierstokes/mass/1pnc/fluxvariables.hh
file	freeflow/navierstokes/mass/1pnc/indices.hh
file	freeflow/navierstokes/mass/1pnc/localresidual.hh
file	freeflow/navierstokes/mass/1pnc/model.hh
	A single-phase, isothermal Navier-Stokes model.
file	freeflow/navierstokes/mass/1pnc/volumevariables.hh
file	freeflow/navierstokes/mass/problem.hh
file	freeflow/navierstokes/model.hh
	A single-phase, isothermal Navier-Stokes model.
file	freeflow/navierstokes/momentum/boundarytypes.hh
file	flux.hh
file	freeflow/navierstokes/momentum/cvfe/indices.hh
file	freeflow/navierstokes/momentum/cvfe/localresidual.hh
file	freeflow/navierstokes/momentum/cvfe/model.hh
	A single-phase, isothermal Navier-Stokes model.
file	freeflow/navierstokes/momentum/cvfe/volumevariables.hh
file	fluxhelper.hh
file	freeflow/navierstokes/momentum/fluxvariables.hh
file	freeflow/navierstokes/momentum/indices.hh
file	freeflow/navierstokes/momentum/localresidual.hh
file	freeflow/navierstokes/momentum/model.hh
	A single-phase, isothermal Navier-Stokes model.
file	freeflow/navierstokes/momentum/problem.hh
file	momentum/velocitygradients.hh
file	velocityreconstruction.hh
file	freeflow/navierstokes/momentum/volumevariables.hh
file	scalarfluxhelper.hh
	Navier Stokes scalar boundary flux helper.
file	scalarfluxvariables.hh
file	scalarfluxvariablescachefiller.hh
	A helper class to fill the flux variables cache.
file	scalarvolumevariables.hh
file	fluxoversurface.hh
file	freeflow/navierstokes/staggered/fluxvariables.hh
file	freeflow/navierstokes/staggered/localresidual.hh
file	freeflow/navierstokes/staggered/problem.hh
file	staggeredupwindhelper.hh
file	staggered/velocitygradients.hh
file	freeflow/navierstokes/velocityoutput.hh
file	freeflow/navierstokes/volumevariables.hh

Classes
class	Dumux::NavierStokesBoundaryTypes< numEq >
	Class to specify the type of a boundary condition for the Navier-Stokes model. More...
class	Dumux::FluxOverAxisAlignedSurface< GridVariables, SolutionVector, LocalResidual >
	Class used to calculate fluxes over axis-aligned surfaces. More...
struct	Dumux::NavierStokesIndices< dimension >
	The common indices for the isothermal Navier-Stokes model. More...
class	Dumux::NavierStokesIOFields
	Adds I/O fields for the Navier-Stokes model. More...
struct	Dumux::AdvectiveFlux< NavierStokesMassOnePModelTraits, T >
	Helper struct defining the advective fluxes of the single-phase flow Navier-Stokes mass model. More...
class	Dumux::NavierStokesMassOnePFluxVariables< Problem, ModelTraits, FluxTs, ElementVolumeVariables, ElementFluxVariablesCache, UpwindScheme >
	The flux variables class for the single-phase flow Navier-Stokes model. More...
struct	Dumux::NavierStokesMassOnePIndices
	The common indices for the isothermal Navier-Stokes mass conservation model. More...
struct	Dumux::ImplementsAuxiliaryFluxNavierStokesMassOneP< Problem >
	Traits class to be specialized for problems to add auxiliary fluxes. More...
class	Dumux::NavierStokesMassOnePLocalResidual< TypeTag >
	Element-wise calculation of the Navier-Stokes residual for single-phase flow. More...
struct	Dumux::NavierStokesMassOnePModelTraits
	Traits for the single-phase flow Navier-Stokes mass model. More...
struct	Dumux::NavierStokesMassOnePVolumeVariablesTraits< PV, FSY, FST, MT >
	Traits class for the volume variables of the Navier-Stokes model. More...
class	Dumux::NavierStokesMassOnePVolumeVariables< Traits >
	Volume variables for the single-phase Navier-Stokes model. More...
struct	Dumux::AdvectiveFlux< NavierStokesMassOnePNCModelTraits< nComp, useM, repCompEqIdx > >
	Helper struct defining the advective fluxes of the single-phase flow multicomponent Navier-Stokes mass model. More...
class	Dumux::NavierStokesMassOnePNCFluxVariables< Problem, ModelTraits, FluxTs, ElementVolumeVariables, ElementFluxVariablesCache, UpwindScheme >
	The flux variables class for the single-phase flow, multi-component Navier-Stokes model. More...
class	Dumux::NavierStokesMassOnePNCLocalResidual< TypeTag >
	Element-wise calculation of the Navier-Stokes residual for multicomponent single-phase flow. More...
struct	Dumux::NavierStokesMassOnePNCModelTraits< nComp, useM, repCompEqIdx >
	Traits for the Navier-Stokes model. More...
struct	Dumux::NavierStokesMassOnePNCVolumeVariablesTraits< PV, FSY, FST, MT >
	Traits class for the volume variables of the Navier-Stokes model. More...
class	Dumux::NavierStokesMassOnePNCVolumeVariables< Traits >
	Volume variables for the single-phase Navier-Stokes model. More...
struct	Dumux::NavierStokesModelTraits< dimension >
	Traits for the Navier-Stokes model. More...
struct	Dumux::NavierStokesVolumeVariablesTraits< PV, FSY, FST, MT >
	Traits class for the volume variables of the Navier-Stokes model. More...
class	Dumux::NavierStokesMomentumBoundaryTypes< size >
	Class to specify the type of a boundary condition for the Navier-Stokes model. More...
class	Dumux::NavierStokesMomentumFluxContext< Problem, FVElementGeometry, ElementVolumeVariables, ElementFluxVariablesCache >
	Context for computing fluxes. More...
class	Dumux::NavierStokesMomentumFluxCVFE< GridGeometry, NumEqVector >
	The flux variables class for the Navier-Stokes model using control-volume finite element schemes. More...
struct	Dumux::NavierStokesMomentumCVFEIndices< dimension >
	The common indices for the isothermal Navier-Stokes model. More...
class	Dumux::NavierStokesMomentumCVFELocalResidual< TypeTag >
	Element-wise calculation of the Navier-Stokes residual for models using the CVFE discretizations. More...
struct	Dumux::NavierStokesMomentumCVFEModelTraits< dimension >
	Traits for the Navier-Stokes model. More...
struct	Dumux::NavierStokesMomentumCVFEVolumeVariablesTraits< PV, FSY, FST, MT >
	Traits class for the volume variables of the Navier-Stokes model. More...
class	Dumux::NavierStokesMomentumCVFEVolumeVariables< Traits >
	Volume variables for the single-phase Navier-Stokes model. More...
struct	Dumux::NavierStokesMomentumBoundaryFluxHelper
	Struct containing flux helper functions to be used in the momentum problem's Neumann function. More...
class	Dumux::NavierStokesMomentumFluxVariables< TypeTag >
	The flux variables class for the Navier-Stokes model using the staggered grid discretization. More...
struct	Dumux::NavierStokesMomentumIndices< dimension >
	The common indices for the isothermal Navier-Stokes model. More...
class	Dumux::NavierStokesMomentumResidual< TypeTag >
	Element-wise calculation of the Navier-Stokes residual for models using the staggered discretization. More...
struct	Dumux::NavierStokesMomentumModelTraits< dimension >
	Traits for the Navier-Stokes model. More...
struct	Dumux::NavierStokesMomentumVolumeVariablesTraits< PV, FSY, FST, MT >
	Traits class for the volume variables of the Navier-Stokes model. More...
class	Dumux::StaggeredVelocityGradients< Scalar, GridGeometry, BoundaryTypes, Indices >
	Helper class for calculating the velocity gradients for the Navier-Stokes model using the staggered grid discretization. More...
struct	Dumux::StaggeredVelocityReconstruction
	Helper class for reconstructing the velocity. More...
class	Dumux::NavierStokesMomentumVolumeVariables< Traits >
	Volume variables for the single-phase Navier-Stokes model. More...
struct	Dumux::NavierStokesScalarBoundaryFluxHelper< AdvectiveFlux >
	Navier Stokes scalar boundary flux helper. More...
class	Dumux::NavierStokesScalarConservationModelFluxVariables< Problem, ModelTraits, FluxTypes, ElementVolumeVariables, ElementFluxVariablesCache, UpwindScheme >
	The flux variables base class for scalar quantities balanced in the Navier-Stokes model. More...
class	Dumux::NavierStokesScalarConservationModelVolumeVariables< Traits >
	Volume variables for the single-phase Navier-Stokes model. More...
class	Dumux::FluxOverSurface< GridVariables, SolutionVector, ModelTraits, LocalResidual >
	Class used to calculate fluxes over surfaces. This only works for the staggered grid discretization. More...
class	Dumux::NavierStokesFluxVariablesImpl< TypeTag, DiscretizationMethod >
	The flux variables class for the Navier-Stokes model using the staggered grid discretization. More...
class	Dumux::NavierStokesResidualImpl< TypeTag, DiscretizationMethod >
	Element-wise calculation of the Navier-Stokes residual for models using the staggered discretization. More...
class	Dumux::NavierStokesStaggeredProblem< TypeTag >
	Navier-Stokes staggered problem base class. More...
class	Dumux::StaggeredUpwindHelper< TypeTag, upwindSchemeOrder >
	The upwinding variables class for the Navier-Stokes model using the staggered grid discretization. More...
class	Dumux::NavierStokesVelocityOutput< GridVariables >
	Velocity output for staggered free-flow models. More...
class	Dumux::NavierStokesVolumeVariables< Traits >
	Volume variables for the single-phase Navier-Stokes model. More...

Typedefs
template<class TypeTag >
using	Dumux::NavierStokesFluxVariables = NavierStokesFluxVariablesImpl< TypeTag, typename GetPropType< TypeTag, Properties::GridGeometry >::DiscretizationMethod >
	The flux variables class for the Navier-Stokes model. This is a convenience alias for that actual, discretization-specific flux variables. More...
template<class TypeTag >
using	Dumux::NavierStokesResidual = NavierStokesResidualImpl< TypeTag, typename GetPropType< TypeTag, Properties::GridGeometry >::DiscretizationMethod >
	The local residual class for the Navier-Stokes model (balance equations). This is a convenience alias for the actual, discretization-specific local residual. More...
template<class TypeTag >
using	Dumux::NavierStokesMassProblem = NavierStokesMassProblemImpl< TypeTag, typename GetPropType< TypeTag, Properties::GridGeometry >::DiscretizationMethod >
	Navier-Stokes mass problem class. More...
template<class TypeTag >
using	Dumux::NavierStokesMomentumProblem = NavierStokesMomentumProblemImpl< TypeTag, typename GetPropType< TypeTag, Properties::GridGeometry >::DiscretizationMethod >
	Navier-Stokes momentum problem class. More...
template<class Problem , class ModelTraits , bool diffusionIsSolDependent, bool heatConductionIsSolDependent>
using	Dumux::FreeFlowScalarFluxVariablesCacheFiller = FreeFlowScalarFluxVariablesCacheFillerImplementation< Problem, ModelTraits, diffusionIsSolDependent, heatConductionIsSolDependent, typename ProblemTraits< Problem >::GridGeometry::DiscretizationMethod >
	The flux variables cache filler class for free flow. More...

Functions
template<class IOFields , class PrimaryVariables , class ModelTraits , class FluidSystem >
std::function< std::string(int, int)>	Dumux::createCellCenterPVNameFunction (const std::string &paramGroup="")
	helper function to determine the names of cell-centered primary variables of a model with staggered grid discretization More...
template<class IOFields , class PrimaryVariables , class ModelTraits , class FluidSystem >
std::function< std::string(int, int)>	Dumux::createFacePVNameFunction (const std::string &paramGroup="")
	helper function to determine the names of primary variables on the cell faces of a model with staggered grid discretization More...

Typedef Documentation

FreeFlowScalarFluxVariablesCacheFiller

template<class Problem , class ModelTraits , bool diffusionIsSolDependent, bool heatConductionIsSolDependent>

using Dumux::FreeFlowScalarFluxVariablesCacheFiller = typedef FreeFlowScalarFluxVariablesCacheFillerImplementation<Problem, ModelTraits, diffusionIsSolDependent, heatConductionIsSolDependent, typename ProblemTraits<Problem>::GridGeometry::DiscretizationMethod>

Helps filling the flux variables cache depending several policies

NavierStokesFluxVariables

template<class TypeTag >

using Dumux::NavierStokesFluxVariables = typedef NavierStokesFluxVariablesImpl<TypeTag, typename GetPropType<TypeTag, Properties::GridGeometry>::DiscretizationMethod>

Note

Not all specializations are currently implemented

NavierStokesMassProblem

template<class TypeTag >

using Dumux::NavierStokesMassProblem = typedef NavierStokesMassProblemImpl< TypeTag, typename GetPropType<TypeTag, Properties::GridGeometry>::DiscretizationMethod >

Inherit from this problem to implement Navier-Stokes mass problems

NavierStokesMomentumProblem

template<class TypeTag >

using Dumux::NavierStokesMomentumProblem = typedef NavierStokesMomentumProblemImpl< TypeTag, typename GetPropType<TypeTag, Properties::GridGeometry>::DiscretizationMethod >

Inherit from this problem to implement Navier-Stokes momentum problems

NavierStokesResidual

template<class TypeTag >

using Dumux::NavierStokesResidual = typedef NavierStokesResidualImpl<TypeTag, typename GetPropType<TypeTag, Properties::GridGeometry>::DiscretizationMethod>

Note

Not all specializations are currently implemented

Function Documentation

createCellCenterPVNameFunction()

template<class IOFields , class PrimaryVariables , class ModelTraits , class FluidSystem >

std::function< std::string(int, int)> Dumux::createCellCenterPVNameFunction

(

const std::string &

paramGroup = ""

)

Note

use this as input for the load solution function

createFacePVNameFunction()

template<class IOFields , class PrimaryVariables , class ModelTraits , class FluidSystem >

std::function< std::string(int, int)> Dumux::createFacePVNameFunction

(

const std::string &

paramGroup = ""

)

Note

use this as input for the load solution function