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

\[ \frac{\partial (\varrho \textbf{v})}{\partial t} + \nabla \cdot (\varrho \textbf{v} \textbf{v}^{\text{T}}) = \nabla \cdot (\mu (\nabla \textbf{v} + \nabla \textbf{v}^{\text{T}})) - \nabla p + \varrho \textbf{g} - \textbf{f} \]

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

\[ \nabla \cdot (\varrho \textbf{v} \textbf{v}^{\text{T}}) \]

is neglected.

The mass balance equation

\[ \frac{\partial \varrho}{\partial t} + \nabla \cdot (\varrho \textbf{v}) - q = 0 \]

closes the system.

The Navier-Stokes model can be extended to a Darcy-Brinkman model by adding the term:

\[ + \epsilon_B \mu \mathbf{K}^{-1} \mathbf{v} \]

to the momentum balance. This can be achieved with the helper function addBrinkmanTerm. This function relies on the spatial parameters class being based on BrinkmanSpatialParams or providing the brinkmanEpsilon and inversePermeability interfaces. These interface functions provide the weighting factor \( \epsilon_B \) and the permeability tensor \( \mathbf{K} \).

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	brinkman.hh
	A helper function to add Brinkman term to the momentum balance.
file	brinkman.hh
	A helper function to add Brinkman term to the momentum balance.
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	slipcondition.hh
	Navier Stokes slip condition.
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...
struct	Dumux::NavierStokesMassOnePNCIndices
	The common indices for the isothermal Navier-Stokes mass conservation 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 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::NavierStokesMomentumBoundaryFlux< DiscretizationMethod, SlipVelocityPolicy >
	Class to compute the boundary flux for the momentum balance of the Navier-Stokes model This helper class is typically used in the Neumann function of the momentum problem. More...
struct	Dumux::NavierStokesMomentumBoundaryFlux< DiscretizationMethods::FCStaggered, SlipVelocityPolicy >
	Class to compute the boundary flux for the momentum balance of the Navier-Stokes model This helper class is typically used in the Neumann function of the momentum problem. 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...
struct	Dumux::NavierStokes::SlipConditions::BJ
	Tag for the Beavers-Joseph slip condition. More...
struct	Dumux::NavierStokes::SlipConditions::BJS
	Tag for the Beavers-Joseph-Saffman slip condition. More...
class	Dumux::NavierStokesSlipVelocity< DiscretizationMethod, SlipCondition >
	Navier Stokes slip velocity policy. More...
class	Dumux::NavierStokesSlipVelocity< DiscretizationMethods::FCStaggered, SlipCondition >
	Navier Stokes slip velocity helper for fcstaggered discretization. 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...

Variables
constexpr BJ	Dumux::NavierStokes::SlipConditions::bj {}
	Tag for the Beavers-Joseph slip condition. More...
constexpr BJS	Dumux::NavierStokes::SlipConditions::bjs {}
	Tag for the Beavers-Joseph-Saffman slip condition. 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 on 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

Variable Documentation

bj

constexpr BJ Dumux::NavierStokes::SlipConditions::bj {}

inlineconstexpr

bjs

constexpr BJS Dumux::NavierStokes::SlipConditions::bjs {}

inlineconstexpr