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 GlobalPosition &tangentialVector) const
	Returns the beta value which is the alpha value divided by the square root of the (scalar-valued) interface permeability. 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 &ownScvf, const SubControlVolumeFace &faceOnPorousBoundary, const Scalar velocitySelf, const Scalar tangentialVelocityGradient) const
	Returns the slip velocity at a porous boundary based on the Beavers-Joseph(-Saffman) condition. 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()

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

Returns the slip velocity at a porous boundary based on the Beavers-Joseph(-Saffman) condition.

◆ betaBJ()

template<class TypeTag >

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

inline

Returns the beta value which is the alpha value divided by the square root of the (scalar-valued) interface 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) [23]
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) [69].

◆ 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.

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()

◆ betaBJ()

◆ enableInertiaTerms()

◆ gravity()

◆ permeability()

◆ porousMediumVelocity()

◆ pseudo3DWallFriction() [1/2]

◆ pseudo3DWallFriction() [2/2]

◆ temperature()

◆ temperatureAtPos()