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version 3.11-dev
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version 3.11-dev
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Single-phase Navier-Stokes flow. More...
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 \( \mathbf{K} \).
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::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... | |
| class | Dumux::NavierStokesMassOnePIOFields |
| Adds I/O fields for the Navier-Stokes 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... | |
| class | Dumux::NavierStokesMomentumBoundaryTypes< size > |
| Class to specify the type of a boundary condition for the Navier-Stokes model. More... | |
| class | Dumux::NavierStokesMomentumFELocalResidualTerms< Scalar, NumEqVector, LocalBasis, Extrusion > |
| Helper class for evaluating FE-based local residuals. More... | |
| class | Dumux::NavierStokesMomentumFluxContext< Problem, FVElementGeometry, ElementVolumeVariables, ElementFluxVariablesCache > |
| Context for computing fluxes. More... | |
| class | Dumux::NavierStokesMomentumFluxFunctionContext< Problem, FVElementGeometry, ElementVolumeVariables, IpData > |
| Context for interpolating data on interpolation points. More... | |
| class | Dumux::NavierStokesMomentumFluxCVFE< GridGeometry, NumEqVector > |
| The flux variables class for the Navier-Stokes model using control-volume finite element schemes. More... | |
| class | Dumux::NavierStokesMomentumFluxFunctionCVFE< GridGeometry, NumEqVector > |
| The flux function 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::NavierStokesMomentumCVFEVariables< Traits > |
| Variables for the single-phase Navier-Stokes model. More... | |
| class | Dumux::NavierStokesMomentumCVFEVolumeVariables< Traits > |
| Volume variables for the single-phase Navier-Stokes model. More... | |
| class | Dumux::NavierStokesMomentumFCStaggeredFluxVariables< TypeTag > |
| The flux variables class for the Navier-Stokes model using the fcstaggered grid discretization. More... | |
| struct | Dumux::NavierStokesMomentumFCStaggeredIndices< dimension > |
| The common indices for the isothermal Navier-Stokes model. More... | |
| class | Dumux::NavierStokesMomentumFCStaggeredResidual< 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::NavierStokesMomentumFCStaggeredVolumeVariablesTraits< PV, FSY, FST, MT > |
| Traits class for the volume variables of the Navier-Stokes model. More... | |
| class | Dumux::FCStaggeredVelocityGradients |
| Helper class for calculating the velocity gradients for the Navier-Stokes model using the staggered grid discretization. More... | |
| class | Dumux::NavierStokesMomentumFCStaggeredVolumeVariables< 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... | |
| 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::NavierStokesVelocityOutput< GridVariables > |
| Velocity output for staggered free-flow models. More... | |
| struct | Dumux::StaggeredVelocityReconstruction |
| Helper class for reconstructing the velocity. 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... | |
Typedefs | |
| template<class TypeTag> | |
| using | Dumux::NavierStokesMassProblem |
| Navier-Stokes mass problem class. | |
| template<class TypeTag> | |
| using | Dumux::NavierStokesMomentumProblem |
| Navier-Stokes momentum problem class. | |
| 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. | |
Variables | |
| constexpr BJ | Dumux::NavierStokes::SlipConditions::bj {} |
| Tag for the Beavers-Joseph slip condition. | |
| constexpr BJS | Dumux::NavierStokes::SlipConditions::bjs {} |
| Tag for the Beavers-Joseph-Saffman slip condition. | |
Files | |
| file | boundarytypes.hh |
| Class to specify the type of a boundary condition for the Navier-Stokes model. | |
| file | fluxoveraxisalignedsurface.hh |
| Class used to calculate fluxes over axis-aligned surfaces. | |
| file | advectiveflux.hh |
| Helper struct defining the advective fluxes of the single-phase flow Navier-Stokes mass model. | |
| file | fluxvariables.hh |
| The flux variables class for the single-phase flow Navier-Stokes model. | |
| file | indices.hh |
| The common indices for the isothermal Navier-Stokes mass conservation model. | |
| file | iofields.hh |
| Adds I/O fields for the Navier-Stokes model. | |
| file | localresidual.hh |
| Element-wise calculation of the Navier-Stokes residual for single-phase flow. | |
| file | model.hh |
| A single-phase, isothermal Navier-Stokes model. | |
| file | volumevariables.hh |
| Volume variables for the single-phase Navier-Stokes model. | |
| file | advectiveflux.hh |
| Helper struct defining the advective fluxes of the single-phase flow multicomponent Navier-Stokes mass model. | |
| file | fluxvariables.hh |
| The flux variables class for the single-phase flow, multi-component Navier-Stokes model. | |
| file | indices.hh |
| The common indices for the isothermal Navier-Stokes mass conservation model. | |
| file | localresidual.hh |
| Element-wise calculation of the Navier-Stokes residual for multicomponent single-phase flow. | |
| file | model.hh |
| A single-phase, isothermal Navier-Stokes model. | |
| file | volumevariables.hh |
| Volume variables for the single-phase Navier-Stokes model. | |
| file | problem.hh |
| Navier-Stokes mass problem class. | |
| file | boundarytypes.hh |
| Class to specify the type of a boundary condition for the Navier-Stokes model. | |
| file | brinkman.hh |
| A helper function to add Brinkman term to the momentum balance. | |
| file | felocalresidual.hh |
| Helper functions for assembling FE-based local residuals. | |
| file | flux.hh |
| The flux variables class for the Navier-Stokes model using control-volume finite element schemes. | |
| file | indices.hh |
| The common indices for the isothermal Navier-Stokes model. | |
| file | localresidual.hh |
| Element-wise calculation of the Navier-Stokes residual for models using CVFE discretizations. | |
| file | model.hh |
| A single-phase, isothermal Navier-Stokes model. | |
| file | variables.hh |
| Variables for the single-phase Navier-Stokes model. | |
| file | volumevariables.hh |
| Volume variables for the single-phase Navier-Stokes model. | |
| file | fluxvariables.hh |
| The flux variables class for the Navier-Stokes model using the fcstaggered grid discretization. | |
| file | indices.hh |
| The common indices for the isothermal Navier-Stokes model. | |
| file | localresidual.hh |
| Element-wise calculation of the Navier-Stokes residual for models using the staggered discretization. | |
| file | model.hh |
| A single-phase, isothermal Navier-Stokes model. | |
| file | velocitygradients.hh |
| Helper class for calculating the velocity gradients for the Navier-Stokes model using the staggered grid discretization. | |
| file | volumevariables.hh |
| Volume variables for the single-phase Navier-Stokes model. | |
| file | fluxhelper.hh |
| 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. | |
| file | fluxvariables.hh |
| file | indices.hh |
| file | localresidual.hh |
| file | model.hh |
| A single-phase, isothermal Navier-Stokes model. | |
| file | problem.hh |
| Navier-Stokes momentum problem class. | |
| file | slipcondition.hh |
| Navier Stokes slip condition. | |
| file | velocitygradients.hh |
| Helper class for calculating the velocity gradients for the Navier-Stokes model using the staggered grid discretization. | |
| file | velocityoutput.hh |
| Velocity output for staggered free-flow models. | |
| file | velocityreconstruction.hh |
| Helper class for reconstructing the velocity. | |
| file | volumevariables.hh |
| Volume variables for the single-phase Navier-Stokes model. | |
| file | scalarfluxhelper.hh |
| Navier Stokes scalar boundary flux helper. | |
| file | scalarfluxvariables.hh |
| The flux variables base class for scalar quantities balanced in the Navier-Stokes model. | |
| file | scalarfluxvariablescachefiller.hh |
| A helper class to fill the flux variables cache. | |
| file | scalarvolumevariables.hh |
| Volume variables for the single-phase Navier-Stokes model. | |
| file | slipcondition.hh |
| Navier Stokes slip condition. | |
| file | velocityoutput.hh |
| Velocity output for staggered free-flow models. | |
| using Dumux::FreeFlowScalarFluxVariablesCacheFiller = FreeFlowScalarFluxVariablesCacheFillerImplementation<Problem, ModelTraits, diffusionIsSolDependent, heatConductionIsSolDependent, typename ProblemTraits<Problem>::GridGeometry::DiscretizationMethod> |
Helps filling the flux variables cache depending on several policies
| using Dumux::NavierStokesMassProblem |
Inherit from this problem to implement Navier-Stokes mass problems
| using Dumux::NavierStokesMomentumProblem |
Inherit from this problem to implement Navier-Stokes momentum problems
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inlineconstexpr |
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inlineconstexpr |
3.11-dev
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