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...

#include <dumux/freeflow/navierstokes/momentum/fluxhelper.hh>

Description

template<class SlipVelocityPolicy>
struct Dumux::NavierStokesMomentumBoundaryFlux< DiscretizationMethods::FCStaggered, SlipVelocityPolicy >

Template Parameters

SlipVelocityPolicy The policy to compute the slip velocity at the boundary

The slip velocity policy is a class with a static member function velocity that computes the slip velocity at the boundary.

Static Public Member Functions
template<class Problem , class FVElementGeometry , class ElementVolumeVariables , class ElementFluxVariablesCache , class Scalar >
static auto	fixedPressureMomentumFlux (const Problem &problem, const FVElementGeometry &fvGeometry, const typename FVElementGeometry::SubControlVolumeFace &scvf, const ElementVolumeVariables &elemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const Scalar pressure, const bool zeroNormalVelocityGradient=true)
	Returns the momentum flux a fixed-pressure boundary. More...

template<class Problem , class FVElementGeometry , class ElementVolumeVariables , class ElementFluxVariablesCache , class TangentialVelocityGradient = double>
static auto	slipVelocityMomentumFlux (const Problem &problem, const FVElementGeometry &fvGeometry, const typename FVElementGeometry::SubControlVolumeFace &scvf, const ElementVolumeVariables &elemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const TangentialVelocityGradient &tangentialVelocityGradient=TangentialVelocityGradient(0.0))
	Returns the momentum flux for a boundary with a slip condition. More...

Member Function Documentation

◆ fixedPressureMomentumFlux()

template<class SlipVelocityPolicy >

template<class Problem , class FVElementGeometry , class ElementVolumeVariables , class ElementFluxVariablesCache , class Scalar >

static auto Dumux::NavierStokesMomentumBoundaryFlux< DiscretizationMethods::FCStaggered, SlipVelocityPolicy >::fixedPressureMomentumFlux	(	const Problem &	problem,
		const FVElementGeometry &	fvGeometry,
		const typename FVElementGeometry::SubControlVolumeFace &	scvf,
		const ElementVolumeVariables &	elemVolVars,
		const ElementFluxVariablesCache &	elemFluxVarsCache,
		const Scalar	pressure,
		const bool	zeroNormalVelocityGradient = `true`
	)

inlinestatic

Parameters

problem	The problem
fvGeometry	The finite-volume geometry
scvf	The sub control volume face
elemVolVars	The volume variables for the element
elemFluxVarsCache	The flux variables cache for the element
pressure	The pressure given at the boundary
zeroNormalVelocityGradient	If set to false, this yields a "natural" outflow condition where the flow tends to diverge at the boundary. If set to true (default), this yields a "do-nothing" outflow condition where \(\mathbf{v} \cdot \mathbf{n} = 0\) is satisfied and the general flow field is preserved in many cases. See, e.g., https://www.math.uni-magdeburg.de/~richter/WS17/numns/fem.pdf for details.

◆ slipVelocityMomentumFlux()