mfem::BurgersFlux Class Reference

Burgers flux. More...

#include <hyperbolic.hpp>

Inheritance diagram for mfem::BurgersFlux:

Collaboration diagram for mfem::BurgersFlux:

Public Member Functions
	BurgersFlux (const int dim)
	Construct BurgersFlux FluxFunction with given spatial dimension.
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

Burgers flux.

Definition at line 739 of file hyperbolic.hpp.

Constructor & Destructor Documentation

BurgersFlux()

mfem::BurgersFlux::BurgersFlux ( const int dim )

inline

Construct BurgersFlux FluxFunction with given spatial dimension.

Parameters

dim	spatial dimension

Definition at line 747 of file hyperbolic.hpp.

Member Function Documentation

ComputeAvgFlux()

real_t mfem::BurgersFlux::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⁻²+u⁻*u⁺+u⁺²)/6*1ᵀ where 1 is (dim) vector

Returns

real_t maximum characteristic speed, |u|

Reimplemented from mfem::FluxFunction.

Definition at line 873 of file hyperbolic.cpp.

ComputeAvgFluxDotN()

real_t mfem::BurgersFlux::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⁻²+u⁻*u⁺+u⁺²)/6*(1ᵀn) where 1 is (dim) vector

Returns

real_t maximum characteristic speed, |u|

Reimplemented from mfem::FluxFunction.

Definition at line 882 of file hyperbolic.cpp.

ComputeFlux()

real_t mfem::BurgersFlux::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) = ½u²*1ᵀ where 1 is (dim) vector

Returns

real_t maximum characteristic speed, |u|

Implements mfem::FluxFunction.

Definition at line 856 of file hyperbolic.cpp.

ComputeFluxDotN()

real_t mfem::BurgersFlux::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 = ½u²*(1ᵀn) where 1 is (dim) vector

Returns

real_t maximum characteristic speed, |u|

Reimplemented from mfem::FluxFunction.

Definition at line 864 of file hyperbolic.cpp.

ComputeFluxJacobian()

void mfem::BurgersFlux::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(u*1) where 1 is (dim) vector

Reimplemented from mfem::FluxFunction.

Definition at line 892 of file hyperbolic.cpp.

ComputeFluxJacobianDotN()

void mfem::BurgersFlux::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 = u*(1ᵀn) where 1 is (dim) vector

Reimplemented from mfem::FluxFunction.

Definition at line 903 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