Test problem for the one-phase (Navier-) Stokes problem in a channel. More...

#include <test/freeflow/navierstokes/channel/2d/problem.hh>

Inheritance diagram for Dumux::ChannelTestProblem< TypeTag >:

Description

template<class TypeTag>
class Dumux::ChannelTestProblem< TypeTag >

Test problem for the one-phase (Navier-) Stokes problem in a channel.

Flow from left to right in a two-dimensional channel is considered. At the inlet (left), fixed values for velocity are set, while at the outlet (right), a fixed pressure boundary condition is used. The channel is confined by solid walls at the top and bottom of the domain which corresponds to no-slip/no-flow conditions. For the non-isothermal test, water of increased temperature is injected at the inlet while the walls are fully isolating.

Public Member Functions
	ChannelTestProblem (std::shared_ptr< const GridGeometry > gridGeometry)

Scalar	temperatureAtPos (const GlobalPosition &globalPos) const
	Returns the temperature \(\mathrm{[K]}\) at a given global position. 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 alpha value required as input parameter for the Beavers-Joseph-Saffman boundary condition. 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...

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

Problem parameters
Scalar	temperature () const
	Returns the temperature within the domain in [K]. More...

NumEqVector	sourceAtPos (const GlobalPosition &globalPos) const
	Returns the sources within the domain. More...

Boundary conditions
BoundaryTypes	boundaryTypesAtPos (const GlobalPosition &globalPos) const
	Specifies which kind of boundary condition should be used for which equation on a given boundary control volume. More...

PrimaryVariables	dirichletAtPos (const GlobalPosition &globalPos) const
	Evaluates the boundary conditions for a Dirichlet control volume. More...

template<class ElementVolumeVariables , class ElementFaceVariables >
NumEqVector	neumann (const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const ElementFaceVariables &elemFaceVars, const SubControlVolumeFace &scvf) const
	Evaluates the boundary conditions for a Neumann control volume. More...

Scalar	parabolicProfile (const Scalar y, const Scalar vMax) const
	A parabolic velocity profile. More...

Scalar	dudy (const Scalar y, const Scalar vMax) const
	The partial dervivative of the horizontal velocity (following a parabolic profile for Stokes flow) w.r.t. to the y-coordinate (du/dy). More...

Volume terms
PrimaryVariables	initialAtPos (const GlobalPosition &globalPos) const
	Evaluates the initial value for a control volume. More...

void	setTimeLoop (TimeLoopPtr timeLoop)

Scalar	time () const

Constructor & Destructor Documentation

◆ ChannelTestProblem()

template<class TypeTag >

Dumux::ChannelTestProblem< TypeTag >::ChannelTestProblem ( std::shared_ptr< const GridGeometry > gridGeometry )

inline

Member Function Documentation

◆ alphaBJ()

template<class TypeTag >

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

inlineinherited

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

inlineinherited

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 &	faceOnPorousBoundary,
		const Scalar	velocitySelf,
		const Scalar	tangentialVelocityGradient
	)		const

inlineinherited

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

inlineinherited

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.

◆ bjsVelocity()

template<class TypeTag >

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

inlineinherited

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

Deprecated:: "Use beaversJosephVelocity(element, scv, faceOnPorousBoundary, velocitySelf, tangentialVelocityGradient) instead"

◆ boundaryTypesAtPos()

template<class TypeTag >

BoundaryTypes Dumux::ChannelTestProblem< TypeTag >::boundaryTypesAtPos ( const GlobalPosition & globalPos ) const

inline

Specifies which kind of boundary condition should be used for which equation on a given boundary control volume.

Parameters

globalPos The position of the center of the finite volume

◆ dirichletAtPos()

template<class TypeTag >

PrimaryVariables Dumux::ChannelTestProblem< TypeTag >::dirichletAtPos ( const GlobalPosition & globalPos ) const

inline

Evaluates the boundary conditions for a Dirichlet control volume.

Parameters

globalPos The center of the finite volume which ought to be set.

◆ dudy()

template<class TypeTag >

Scalar Dumux::ChannelTestProblem< TypeTag >::dudy	(	const Scalar	y,
		const Scalar	vMax
	)		const

inline

The partial dervivative of the horizontal velocity (following a parabolic profile for Stokes flow) w.r.t. to the y-coordinate (du/dy).

Parameters

y	The position where the derivative is evaluated.
vMax	The profile's maxmium velocity.

◆ enableInertiaTerms()

template<class TypeTag >

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

inlineinherited

Returns whether interia terms should be considered.

◆ gravity()

template<class TypeTag >

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

inlineinherited

Returns the acceleration due to gravity.

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

◆ initialAtPos()

template<class TypeTag >

PrimaryVariables Dumux::ChannelTestProblem< TypeTag >::initialAtPos ( const GlobalPosition & globalPos ) const

inline

Evaluates the initial value for a control volume.

Parameters

globalPos The global position

◆ neumann()

template<class TypeTag >

template<class ElementVolumeVariables , class ElementFaceVariables >

NumEqVector Dumux::ChannelTestProblem< TypeTag >::neumann	(	const Element &	element,
		const FVElementGeometry &	fvGeometry,
		const ElementVolumeVariables &	elemVolVars,
		const ElementFaceVariables &	elemFaceVars,
		const SubControlVolumeFace &	scvf
	)		const

inline

Evaluates the boundary conditions for a Neumann control volume.

Parameters

element	The element for which the Neumann boundary condition is set
fvGeometry	The fvGeometry
elemVolVars	The element volume variables
elemFaceVars	The element face variables
scvf	The boundary sub control volume face

◆ parabolicProfile()

template<class TypeTag >

Scalar Dumux::ChannelTestProblem< TypeTag >::parabolicProfile	(	const Scalar	y,
		const Scalar	vMax
	)		const

inline

A parabolic velocity profile.

Parameters

y	The position where the velocity is evaluated.
vMax	The profile's maxmium velocity.

◆ permeability()

template<class TypeTag >

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

inlineinherited

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.

◆ 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

inlineinherited

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) [25]
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) [74].

◆ 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

inlineinherited

Convenience function for staggered grid implementation.

◆ setTimeLoop()

template<class TypeTag >

void Dumux::ChannelTestProblem< TypeTag >::setTimeLoop ( TimeLoopPtr timeLoop )

inline

◆ sourceAtPos()

template<class TypeTag >

NumEqVector Dumux::ChannelTestProblem< TypeTag >::sourceAtPos ( const GlobalPosition & globalPos ) const

inline

Returns the sources within the domain.

Parameters

globalPos The global position

◆ temperature()

template<class TypeTag >

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

inline

Returns the temperature within the domain in [K].

This problem assumes a temperature of 10 degrees Celsius.

◆ temperatureAtPos()

template<class TypeTag >

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

inlineinherited

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.

◆ time()

template<class TypeTag >

Scalar Dumux::ChannelTestProblem< TypeTag >::time ( ) const

inline

◆ velocityPorousMedium()

template<class TypeTag >

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

inlineinherited

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:

test/freeflow/navierstokes/channel/2d/problem.hh

Description

Public Member Functions

Volume terms

Constructor & Destructor Documentation

◆ ChannelTestProblem()

Member Function Documentation

◆ alphaBJ()

◆ applyInitialFaceSolution()

◆ beaversJosephVelocity()

◆ betaBJ()

◆ bjsVelocity()

◆ boundaryTypesAtPos()

◆ dirichletAtPos()

◆ dudy()

◆ enableInertiaTerms()

◆ gravity()

◆ initialAtPos()

◆ neumann()

◆ parabolicProfile()

◆ permeability()

◆ pseudo3DWallFriction() [1/2]

◆ pseudo3DWallFriction() [2/2]

◆ setTimeLoop()

◆ sourceAtPos()

◆ temperature()

◆ temperatureAtPos()

◆ time()

◆ velocityPorousMedium()