Navier-Stokes problem base class. More...

#include <dumux/freeflow/navierstokes/problem.hh>

Inheritance diagram for Dumux::NavierStokesProblem< TypeTag >:

Description

template<class TypeTag>
class Dumux::NavierStokesProblem< TypeTag >

Navier-Stokes problem base class.

This implements gravity (if desired) and a function returning the temperature. Includes a specialized method used only by the staggered grid discretization.

Public Member Functions
	NavierStokesProblem (std::shared_ptr< const GridGeometry > gridGeometry, const std::string &paramGroup="")
	The constructor. More...

Scalar	temperatureAtPos (const GlobalPosition &globalPos) const
	Returns the temperature \(\mathrm{[K]}\) at a given global position. More...

Scalar	temperature () const
	Returns the temperature within the domain. More...

const GravityVector &	gravity () const
	Returns the acceleration due to gravity. More...

bool	enableInertiaTerms () const
	Returns whether interia terms should be considered. More...

template<class SolutionVector , class G = GridGeometry>
std::enable_if< G::discMethod==DiscretizationMethod::staggered, void >::type	applyInitialFaceSolution (SolutionVector &sol, const SubControlVolumeFace &scvf, const PrimaryVariables &initSol) const
	Applys the initial face solution (velocities on the faces). Specialization for staggered grid discretization. More...

Scalar	pseudo3DWallFriction (const Scalar velocity, const Scalar viscosity, const Scalar height, const Scalar factor=8.0) const
	An additional drag term can be included as source term for the momentum balance to mimic 3D flow behavior in 2D: More...

template<class ElementVolumeVariables , class ElementFaceVariables , class G = GridGeometry>
std::enable_if< G::discMethod==DiscretizationMethod::staggered, Scalar >::type	pseudo3DWallFriction (const SubControlVolumeFace &scvf, const ElementVolumeVariables &elemVolVars, const ElementFaceVariables &elemFaceVars, const Scalar height, const Scalar factor=8.0) const
	Convenience function for staggered grid implementation. More...

Scalar	permeability (const Element &element, const SubControlVolumeFace &scvf) const
	Returns the intrinsic permeability of required as input parameter for the Beavers-Joseph-Saffman boundary condition. More...

Scalar	alphaBJ (const SubControlVolumeFace &scvf) const
	Returns the alpha value required as input parameter for the Beavers-Joseph-Saffman boundary condition. More...

Scalar	betaBJ (const Element &element, const SubControlVolumeFace &scvf) const
	Returns the beta value, or the alpha value divided by the square root of the intrinsic permeability. More...

Scalar	velocityPorousMedium (const Element &element, const SubControlVolumeFace &scvf) const
	Returns the velocity in the porous medium (which is 0 by default according to Saffmann). More...

VelocityVector	porousMediumVelocity (const Element &element, const SubControlVolumeFace &scvf) const
	Returns the velocity in the porous medium (which is 0 by default according to Saffmann). More...

const Scalar	beaversJosephVelocity (const Element &element, const SubControlVolume &scv, const SubControlVolumeFace &faceOnPorousBoundary, const Scalar velocitySelf, const Scalar tangentialVelocityGradient) const
	helper function to evaluate the slip velocity on the boundary when the Beavers-Joseph condition is used More...

const Scalar	beaversJosephVelocity (const Element &element, const SubControlVolume &scv, const SubControlVolumeFace &ownScvf, const SubControlVolumeFace &faceOnPorousBoundary, const Scalar velocitySelf, const Scalar tangentialVelocityGradient) const
	helper function to evaluate the slip velocity on the boundary when the Beavers-Joseph condition is used More...

Constructor & Destructor Documentation

◆ NavierStokesProblem()

template<class TypeTag >

Dumux::NavierStokesProblem< TypeTag >::NavierStokesProblem	(	std::shared_ptr< const GridGeometry >	gridGeometry,
		const std::string &	paramGroup = `""`
	)

inline

The constructor.

Parameters

gridGeometry	The finite volume grid geometry
paramGroup	The parameter group in which to look for runtime parameters first (default is "")

Member Function Documentation

◆ alphaBJ()

template<class TypeTag >

Scalar Dumux::NavierStokesProblem< TypeTag >::alphaBJ ( const SubControlVolumeFace & scvf ) const

inline

Returns the alpha value required as input parameter for the Beavers-Joseph-Saffman boundary condition.

This member function must be overloaded in the problem implementation, if the BJS boundary condition is used.

◆ applyInitialFaceSolution()

template<class TypeTag >

template<class SolutionVector , class G = GridGeometry>

std::enable_if< G::discMethod==DiscretizationMethod::staggered, void >::type Dumux::NavierStokesProblem< TypeTag >::applyInitialFaceSolution	(	SolutionVector &	sol,
		const SubControlVolumeFace &	scvf,
		const PrimaryVariables &	initSol
	)		const

inline

Applys the initial face solution (velocities on the faces). Specialization for staggered grid discretization.

◆ beaversJosephVelocity() [1/2]

template<class TypeTag >

const Scalar Dumux::NavierStokesProblem< TypeTag >::beaversJosephVelocity	(	const Element &	element,
		const SubControlVolume &	scv,
		const SubControlVolumeFace &	faceOnPorousBoundary,
		const Scalar	velocitySelf,
		const Scalar	tangentialVelocityGradient
	)		const

inline

helper function to evaluate the slip velocity on the boundary when the Beavers-Joseph condition is used

◆ beaversJosephVelocity() [2/2]

template<class TypeTag >

const Scalar Dumux::NavierStokesProblem< TypeTag >::beaversJosephVelocity	(	const Element &	element,
		const SubControlVolume &	scv,
		const SubControlVolumeFace &	ownScvf,
		const SubControlVolumeFace &	faceOnPorousBoundary,
		const Scalar	velocitySelf,
		const Scalar	tangentialVelocityGradient
	)		const

inline

helper function to evaluate the slip velocity on the boundary when the Beavers-Joseph condition is used

◆ betaBJ()

template<class TypeTag >

Scalar Dumux::NavierStokesProblem< TypeTag >::betaBJ	(	const Element &	element,
		const SubControlVolumeFace &	scvf
	)		const

inline

Returns the beta value, or the alpha value divided by the square root of the intrinsic permeability.

◆ enableInertiaTerms()

template<class TypeTag >

bool Dumux::NavierStokesProblem< TypeTag >::enableInertiaTerms ( ) const

inline

Returns whether interia terms should be considered.

◆ gravity()

template<class TypeTag >

const GravityVector & Dumux::NavierStokesProblem< TypeTag >::gravity ( ) const

inline

Returns the acceleration due to gravity.

If the Problem.EnableGravity parameter is true, this means \(\boldsymbol{g} = ( 0,\dots,\ -9.81)^T \), else \(\boldsymbol{g} = ( 0,\dots, 0)^T \)

◆ permeability()

template<class TypeTag >

Scalar Dumux::NavierStokesProblem< TypeTag >::permeability	(	const Element &	element,
		const SubControlVolumeFace &	scvf
	)		const

inline

Returns the intrinsic permeability of required as input parameter for the Beavers-Joseph-Saffman boundary condition.

This member function must be overloaded in the problem implementation, if the BJS boundary condition is used.

◆ porousMediumVelocity()

template<class TypeTag >

VelocityVector Dumux::NavierStokesProblem< TypeTag >::porousMediumVelocity	(	const Element &	element,
		const SubControlVolumeFace &	scvf
	)		const

inline

Returns the velocity in the porous medium (which is 0 by default according to Saffmann).

◆ pseudo3DWallFriction() [1/2]

template<class TypeTag >

Scalar Dumux::NavierStokesProblem< TypeTag >::pseudo3DWallFriction	(	const Scalar	velocity,
		const Scalar	viscosity,
		const Scalar	height,
		const Scalar	factor = `8.0`
	)		const

inline

An additional drag term can be included as source term for the momentum balance to mimic 3D flow behavior in 2D:

\[ f_{drag} = -(8 \mu / h^2)v \]

Here, \(h\) corresponds to the extruded height that is bounded by the imaginary walls. See Flekkoy et al. (1995) [22]
A value of 8.0 is used as a default factor, corresponding to the velocity profile at the center plane of the virtual height (maximum velocity). Setting this value to 12.0 corresponds to an depth-averaged velocity (Venturoli and Boek, 2006) [66].

◆ pseudo3DWallFriction() [2/2]

template<class TypeTag >

template<class ElementVolumeVariables , class ElementFaceVariables , class G = GridGeometry>

std::enable_if< G::discMethod==DiscretizationMethod::staggered, Scalar >::type Dumux::NavierStokesProblem< TypeTag >::pseudo3DWallFriction	(	const SubControlVolumeFace &	scvf,
		const ElementVolumeVariables &	elemVolVars,
		const ElementFaceVariables &	elemFaceVars,
		const Scalar	height,
		const Scalar	factor = `8.0`
	)		const

inline

Convenience function for staggered grid implementation.

◆ temperature()

template<class TypeTag >

Scalar Dumux::NavierStokesProblem< TypeTag >::temperature ( ) const

inline

Returns the temperature within the domain.

This method MUST be overwritten by the actual problem.

◆ temperatureAtPos()

template<class TypeTag >

Scalar Dumux::NavierStokesProblem< TypeTag >::temperatureAtPos ( const GlobalPosition & globalPos ) const

inline

Returns the temperature \(\mathrm{[K]}\) at a given global position.

This is not specific to the discretization. By default it just calls temperature().

Parameters

globalPos The position in global coordinates where the temperature should be specified.

◆ velocityPorousMedium()

template<class TypeTag >

Scalar Dumux::NavierStokesProblem< TypeTag >::velocityPorousMedium	(	const Element &	element,
		const SubControlVolumeFace &	scvf
	)		const

inline

Returns the velocity in the porous medium (which is 0 by default according to Saffmann).

The documentation for this class was generated from the following file:

freeflow/navierstokes/problem.hh

Description

Public Member Functions

Constructor & Destructor Documentation

◆ NavierStokesProblem()

Member Function Documentation

◆ alphaBJ()

◆ applyInitialFaceSolution()

◆ beaversJosephVelocity() [1/2]

◆ beaversJosephVelocity() [2/2]

◆ betaBJ()

◆ enableInertiaTerms()

◆ gravity()

◆ permeability()

◆ porousMediumVelocity()

◆ pseudo3DWallFriction() [1/2]

◆ pseudo3DWallFriction() [2/2]

◆ temperature()

◆ temperatureAtPos()

◆ velocityPorousMedium()