mfem::AdvectionFlux Class Reference

Advection flux. More...

#include <hyperbolic.hpp>

Inheritance diagram for mfem::AdvectionFlux:

Collaboration diagram for mfem::AdvectionFlux:

Public Member Functions
	AdvectionFlux (VectorCoefficient &b)
	Construct AdvectionFlux FluxFunction with given velocity.
real_t	ComputeFlux (const Vector &state, ElementTransformation &Tr, DenseMatrix &flux) const override
	Compute F(u)
real_t	ComputeFluxDotN (const Vector &state, const Vector &normal, FaceElementTransformations &Tr, Vector &fluxDotN) const override
	Compute F(u) n.
real_t	ComputeAvgFlux (const Vector &state1, const Vector &state2, ElementTransformation &Tr, DenseMatrix &flux) const override
	Compute average flux F̄(u)
real_t	ComputeAvgFluxDotN (const Vector &state1, const Vector &state2, const Vector &normal, FaceElementTransformations &Tr, Vector &fluxDotN) const override
	Compute average flux F̄(u) n.
void	ComputeFluxJacobian (const Vector &state, ElementTransformation &Tr, DenseTensor &J) const override
	Compute J(u)
void	ComputeFluxJacobianDotN (const Vector &state, const Vector &normal, ElementTransformation &Tr, DenseMatrix &JDotN) const override
	Compute J(u) n.
Public Member Functions inherited from mfem::FluxFunction
	FluxFunction (const int num_equations, const int dim)
virtual	~FluxFunction ()

Additional Inherited Members
Public Attributes inherited from mfem::FluxFunction
const int	num_equations
const int	dim

Detailed Description

Advection flux.

Definition at line 640 of file hyperbolic.hpp.

Constructor & Destructor Documentation

AdvectionFlux()

mfem::AdvectionFlux::AdvectionFlux ( VectorCoefficient & b )

inline

Construct AdvectionFlux FluxFunction with given velocity.

Parameters

b	velocity coefficient, possibly depends on space

Definition at line 655 of file hyperbolic.hpp.

Member Function Documentation

ComputeAvgFlux()

real_t mfem::AdvectionFlux::ComputeAvgFlux ( const Vector & state1, const Vector & state2, ElementTransformation & Tr, DenseMatrix & flux ) const

overridevirtual

Compute average flux F̄(u)

Parameters

state1	state value (u⁻) of the beginning of the interval
state2	state value (u⁺) of the end of the interval
Tr	current element transformation with the integration point
flux	F̄(u) = (u⁻+u⁺)/2*bᵀ

Returns

real_t maximum characteristic speed, |b|

Reimplemented from mfem::FluxFunction.

Definition at line 802 of file hyperbolic.cpp.

ComputeAvgFluxDotN()

real_t mfem::AdvectionFlux::ComputeAvgFluxDotN ( const Vector & state1, const Vector & state2, const Vector & normal, FaceElementTransformations & Tr, Vector & fluxDotN ) const

overridevirtual

Compute average flux F̄(u) n.

Parameters

state1	state value (u⁻) of the beginning of the interval
state2	state value (u⁺) of the end of the interval
normal	normal vector, usually not a unit vector
Tr	current element transformation with the integration point
fluxDotN	F̄(u) n = (u⁻+u⁺)/2*(bᵀn)

Returns

real_t maximum characteristic speed, |b|

Reimplemented from mfem::FluxFunction.

Definition at line 816 of file hyperbolic.cpp.

ComputeFlux()

real_t mfem::AdvectionFlux::ComputeFlux ( const Vector & state, ElementTransformation & Tr, DenseMatrix & flux ) const

overridevirtual

Compute F(u)

Parameters

state	state (u) at current integration point
Tr	current element transformation with the integration point
flux	F(u) = ubᵀ

Returns

real_t maximum characteristic speed, |b|

Implements mfem::FluxFunction.

Definition at line 777 of file hyperbolic.cpp.

ComputeFluxDotN()

real_t mfem::AdvectionFlux::ComputeFluxDotN ( const Vector & state, const Vector & normal, FaceElementTransformations & Tr, Vector & fluxDotN ) const

overridevirtual

Compute F(u) n.

Parameters

state	state (u) at current integration point
normal	normal vector, usually not a unit vector
Tr	current element transformation with the integration point
fluxDotN	F(u) n = u (bᵀn)

Returns

real_t maximum characteristic speed, |b|

Reimplemented from mfem::FluxFunction.

Definition at line 789 of file hyperbolic.cpp.

ComputeFluxJacobian()

void mfem::AdvectionFlux::ComputeFluxJacobian ( const Vector & state, ElementTransformation & Tr, DenseTensor & J ) const

overridevirtual

Compute J(u)

Parameters

state	state (u) at current integration point
Tr	current element transformation with the integration point
J	J(u) = diag(b)

Reimplemented from mfem::FluxFunction.

Definition at line 829 of file hyperbolic.cpp.

ComputeFluxJacobianDotN()

void mfem::AdvectionFlux::ComputeFluxJacobianDotN ( const Vector & state, const Vector & normal, ElementTransformation & Tr, DenseMatrix & JDotN ) const

overridevirtual

Compute J(u) n.

Parameters

state	state (u) at current integration point
normal	normal vector, usually not a unit vector
Tr	current element transformation with the integration point
JDotN	J(u) n = bᵀn

Reimplemented from mfem::FluxFunction.

Definition at line 844 of file hyperbolic.cpp.

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

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