mfem::BoundaryHyperbolicFlowIntegrator Class Reference

Abstract boundary hyperbolic linear form integrator, assembling <ɑ/2 F(u,x) n - β |F(u,x) n|, v> terms for scalar finite elements. More...

#include <hyperbolic.hpp>

Inheritance diagram for mfem::BoundaryHyperbolicFlowIntegrator:

Collaboration diagram for mfem::BoundaryHyperbolicFlowIntegrator:

Public Member Functions
	BoundaryHyperbolicFlowIntegrator (const FluxFunction &flux, VectorCoefficient &u, real_t alpha=-1., int IntOrderOffset=0)
	Construct a new BoundaryHyperbolicFlowIntegrator object.
	BoundaryHyperbolicFlowIntegrator (const FluxFunction &flux, VectorCoefficient &u, real_t alpha, real_t beta, int IntOrderOffset=0)
	Construct a new BoundaryHyperbolicFlowIntegrator object.
void	ResetMaxCharSpeed ()
	Reset the maximum characteristic speed to zero.
real_t	GetMaxCharSpeed () const
	Get the maximum characteristic speed.
const FluxFunction &	GetFluxFunction () const
	Get the associated flux function.
void	AssembleRHSElementVect (const FiniteElement &el, ElementTransformation &Tr, Vector &elvect) override
void	AssembleRHSElementVect (const FiniteElement &el, FaceElementTransformations &Tr, Vector &elvect) override
	Implements <-F(u,x) n, v> with abstract F computed by FluxFunction::ComputeFluxDotN() of the flux function object.
virtual void	AssembleRHSElementVect (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, Vector &elvect)
Public Member Functions inherited from mfem::LinearFormIntegrator
virtual bool	SupportsDevice () const
	Method probing for assembly on device.
virtual void	AssembleDevice (const FiniteElementSpace &fes, const Array< int > &markers, Vector &b)
	Method defining assembly on device.
virtual	~LinearFormIntegrator ()
Public Member Functions inherited from mfem::Integrator
	Integrator (const IntegrationRule *ir=NULL)
	Create a new Integrator, optionally providing a prescribed quadrature rule to use in assembly.
virtual void	SetIntRule (const IntegrationRule *ir)
	Prescribe a fixed IntegrationRule to use, or set to null to let the integrator choose an appropriate rule.
void	SetIntegrationRule (const IntegrationRule &ir)
	Prescribe a fixed IntegrationRule to use. Sets the NURBS patch integration rule to null.
void	SetNURBSPatchIntRule (NURBSMeshRules *pr)
	Sets an integration rule for use on NURBS patches.
bool	HasNURBSPatchIntRule () const
	Check if a NURBS patch integration rule has been set.
const IntegrationRule *	GetIntRule () const
	Directly return the IntRule pointer (possibly null) without checking for NURBS patch rules or falling back on a default.
const IntegrationRule *	GetIntegrationRule () const
	Equivalent to GetIntRule, but retained for backward compatibility with applications.

Additional Inherited Members
Protected Member Functions inherited from mfem::LinearFormIntegrator
	LinearFormIntegrator (const IntegrationRule *ir=NULL)
Protected Member Functions inherited from mfem::Integrator
const IntegrationRule *	GetIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
	Returns an integration rule based on the arguments and internal state of the Integrator object.
const IntegrationRule *	GetIntegrationRule (const FiniteElement &el, const ElementTransformation &trans) const
	Returns an integration rule based on the arguments and internal state. (Version for identical trial_fe and test_fe)
virtual const IntegrationRule *	GetDefaultIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
	Subclasses should override to choose a default integration rule.
Protected Attributes inherited from mfem::Integrator
const IntegrationRule *	IntRule
NURBSMeshRules *	patchRules = nullptr

Detailed Description

Abstract boundary hyperbolic linear form integrator, assembling <ɑ/2 F(u,x) n - β |F(u,x) n|, v> terms for scalar finite elements.

This form integrator is coupled with a FluxFunction that evaluates the flux F at the boundary.

Note the upwinding is performed component-wise. For general boundary integration with a numerical flux, see BdrHyperbolicDirichletIntegrator.

Definition at line 515 of file hyperbolic.hpp.

Constructor & Destructor Documentation

BoundaryHyperbolicFlowIntegrator() [1/2]

mfem::BoundaryHyperbolicFlowIntegrator::BoundaryHyperbolicFlowIntegrator ( const FluxFunction & flux, VectorCoefficient & u, real_t alpha = -1., int IntOrderOffset = 0 )

inline

Construct a new BoundaryHyperbolicFlowIntegrator object.

Parameters

[in]	flux	flux function
[in]	u	vector state coefficient
[in]	alpha	ɑ coefficient (β = ɑ/2)
[in]	IntOrderOffset	integration order offset

Definition at line 542 of file hyperbolic.hpp.

BoundaryHyperbolicFlowIntegrator() [2/2]

mfem::BoundaryHyperbolicFlowIntegrator::BoundaryHyperbolicFlowIntegrator	(	const FluxFunction &	flux,
		VectorCoefficient &	u,
		real_t	alpha,
		real_t	beta,
		int	IntOrderOffset = 0 )

Construct a new BoundaryHyperbolicFlowIntegrator object.

Parameters

[in]	flux	flux function
[in]	u	vector state coefficient
[in]	alpha	ɑ coefficient
[in]	beta	β coefficient
[in]	IntOrderOffset	integration order offset

Definition at line 605 of file hyperbolic.cpp.

Member Function Documentation

AssembleRHSElementVect() [1/3]

void mfem::BoundaryHyperbolicFlowIntegrator::AssembleRHSElementVect ( const FiniteElement & el, ElementTransformation & Tr, Vector & elvect )

overridevirtual

Warning

Boundary element integration not implemented, use AssembleRHSElementVect(const FiniteElement&, FaceElementTransformations &, Vector &) instead

Implements mfem::LinearFormIntegrator.

Definition at line 621 of file hyperbolic.cpp.

AssembleRHSElementVect() [2/3]

void mfem::BoundaryHyperbolicFlowIntegrator::AssembleRHSElementVect ( const FiniteElement & el, FaceElementTransformations & Tr, Vector & elvect )

overridevirtual

Implements <-F(u,x) n, v> with abstract F computed by FluxFunction::ComputeFluxDotN() of the flux function object.

Parameters

[in]	el	finite element
[in]	Tr	face element transformations
[out]	elvect	evaluated dual vector <F(u,x) n, v>

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 630 of file hyperbolic.cpp.

AssembleRHSElementVect() [3/3]

void mfem::LinearFormIntegrator::AssembleRHSElementVect ( const FiniteElement & el1, const FiniteElement & el2, FaceElementTransformations & Tr, Vector & elvect )

virtual

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 51 of file lininteg.cpp.

GetFluxFunction()

const FluxFunction & mfem::BoundaryHyperbolicFlowIntegrator::GetFluxFunction ( ) const

inline

Get the associated flux function.

Definition at line 565 of file hyperbolic.hpp.

GetMaxCharSpeed()

real_t mfem::BoundaryHyperbolicFlowIntegrator::GetMaxCharSpeed ( ) const

inline

Get the maximum characteristic speed.

Definition at line 562 of file hyperbolic.hpp.

ResetMaxCharSpeed()

void mfem::BoundaryHyperbolicFlowIntegrator::ResetMaxCharSpeed ( )

inline

Reset the maximum characteristic speed to zero.

Definition at line 559 of file hyperbolic.hpp.

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

• fem/hyperbolic.hpp
• fem/hyperbolic.cpp