This class adds to the term of diffusion to the variacional formulation
of the differential equation partial compressible of Euler (hyperbolic). More...

#include <pzartdiff.h>

Inheritance diagram for TPZArtDiff:

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Collaboration diagram for TPZArtDiff:

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Public Member Functions
	TPZArtDiff ()
	Simple constructor. More...

	TPZArtDiff (TPZArtDiffType type, REAL gamma, REAL CFL=0., REAL delta=0.)
	Specific constructor. More...

virtual	~TPZArtDiff ()

template<class T >
void	ComputeTau (int dim, TPZFMatrix< REAL > &jacinv, TPZVec< T > &Sol, TPZVec< TPZDiffMatrix< T > > &Ai, TPZVec< TPZDiffMatrix< T > > &Tau)
	Computes the diffusive term according to the name. More...

A B C matrices and operations
template<class T >
void	ODotOperator (TPZVec< REAL > &dphi, TPZVec< TPZDiffMatrix< T > > &M, TPZDiffMatrix< T > &Result)
	Operation product point in the diffusion term. More...

template<class T >
void	ODotOperator (TPZVec< REAL > &dphi, TPZVec< TPZVec< T > > &TauDiv, TPZVec< T > &Result)
	Operation product point in the diffusion term. More...

void	Divergent (TPZFMatrix< STATE > &dsol, TPZFMatrix< REAL > &dphi, TPZVec< TPZDiffMatrix< STATE > > &Ai, TPZVec< STATE > &Div, TPZDiffMatrix< STATE > *dDiv)
	Evaluates the divergent of F. More...

Diff setup
template<class T >
void	PrepareDiff (int dim, TPZFMatrix< REAL > &jacinv, TPZVec< T > &U, TPZVec< TPZDiffMatrix< T > > &Ai, TPZVec< TPZDiffMatrix< T > > &Tau)
	Computes the common values A B C and Tau vector of matrixes for contributions. More...

void	PrepareFastDiff (int dim, TPZFMatrix< REAL > &jacinv, TPZVec< STATE > &sol, TPZFMatrix< STATE > &dsol, TPZFMatrix< REAL > &dphi, TPZVec< TPZVec< STATE > > &TauDiv, TPZVec< TPZDiffMatrix< STATE > > *pTaudDiv=NULL)
	Prepares the data to compute the diffusive term as fast as possible, sparing operations. More...

Contribute methods
void	ContributeApproxImplDiff (int dim, TPZFMatrix< REAL > &jacinv, TPZVec< STATE > &sol, TPZFMatrix< STATE > &dsol, TPZFMatrix< REAL > &dphix, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, REAL weight, REAL timeStep, REAL deltaX)
	Contributes the diffusion term to the tangent matrix (ek-approximated) and residual vector (ef) More...

void	ContributeExplDiff (int dim, TPZFMatrix< REAL > &jacinv, TPZVec< STATE > &sol, TPZFMatrix< STATE > &dsol, TPZFMatrix< REAL > &dphix, TPZFMatrix< STATE > &ef, REAL weight, REAL timeStep, REAL deltaX)
	Contributes the diffusion term to the tangent matrix (ek-approximated) and residual vector (ef) More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

virtual bool	Compare (TPZSavable *copy, bool override=false)
	Compares the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const
	Compares the object for identity with the object pointed to, eventually copy the object. More...

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Static Public Member Functions
Intermediate Matrices
template<class T >
static void	RotMatrix (TPZVec< T > &sol, T &us, TPZDiffMatrix< T > &Rot, TPZDiffMatrix< T > &RotT)

template<class T >
static void	MMatrix (TPZVec< T > &sol, T &us, REAL gamma, TPZDiffMatrix< T > &M, TPZDiffMatrix< T > &Mi)

template<class T >
static void	RMMatrix (TPZVec< T > &sol, T &us, REAL gamma, TPZDiffMatrix< T > &RTM, TPZDiffMatrix< T > &RMi)

template<class T >
static void	EigenSystemSUPG (TPZVec< T > &sol, T &us, T &c, REAL gamma, TPZDiffMatrix< T > &X, TPZDiffMatrix< T > &Xi, TPZDiffMatrix< T > &Lambda)

template<class T >
static void	EigenSystemBornhaus (TPZVec< T > &sol, T &us, T &c, REAL gamma, TPZVec< REAL > &aaS, TPZDiffMatrix< T > &Y, TPZDiffMatrix< T > &Yi, TPZDiffMatrix< T > &Lambda)

template<class T >
static void	ContributeBornhaus (TPZVec< T > &sol, T &us, T &c, REAL gamma, TPZVec< REAL > &aaS, TPZDiffMatrix< T > &Mat)

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Private Member Functions
template<class T >
void	SUPG (int dim, TPZVec< T > &sol, TPZVec< TPZDiffMatrix< T > > &Ai, TPZVec< TPZDiffMatrix< T > > &Tau)

template<class T >
void	LS (int dim, TPZVec< T > &sol, TPZVec< TPZDiffMatrix< T > > &Ai, TPZVec< TPZDiffMatrix< T > > &Tau)

template<class T >
void	LST (int dim, TPZVec< T > &sol, TPZVec< TPZDiffMatrix< T > > &Ai, TPZVec< TPZDiffMatrix< T > > &Tau)

template<class T >
void	Bornhaus (int dim, TPZFMatrix< REAL > &jacinv, TPZVec< T > &sol, TPZVec< TPZDiffMatrix< T > > &Ai, TPZVec< TPZDiffMatrix< T > > &Tau)

Private Attributes
TPZArtDiffType	fArtDiffType
	Kind of artificial diffusion term to apply. More...

REAL	fGamma
	Ratio between specific heat is constant and the specific heat the constant volume of a polytropic gas. More...

REAL	fDelta
	Scalar coefficient of the element in the diffusion term. More...

REAL	fCFL
	number More...

Attributes and parameters
TPZArtDiffType	ArtDiffType ()
	Returns the type of artifical diffusion. More...

void	SetArtDiffType (TPZArtDiffType type)
	Configures the type of artificial diffusion. More...

TPZString	DiffusionName ()
	Returns the name of diffusive term. More...

REAL	OptimalDelta ()
	Returns the best value for delta based on the interpolation degree. More...

REAL	Delta (REAL deltaX, TPZVec< STATE > &sol)
	Returns the stored value for delta. More...

void	SetDelta (REAL delta)
	Sets the value for delta. More...

REAL	OptimalCFL (int degree=TPZCompEl::GetgOrder())
	Returns the best value for based on the interpolation degree. More...

void	Write (TPZStream &buf, int withclassid) const override
	Save the element data to a stream. More...

void	Read (TPZStream &buf, void *context) override
	Read the element data from a stream. More...

int	ClassId () const override
	Class identificator. More...

template<class T >
static void	Pressure (REAL gamma, int dim, T &press, TPZVec< T > &U)
	pressure More...

Detailed Description

This class adds to the term of diffusion to the variacional formulation
of the differential equation partial compressible of Euler (hyperbolic).

Author: Erick Slis; Cedric Marcelo Augusto Ayala Bravo This term is introduced to stabilize the numerical method of approach.

Definition at line 62 of file pzartdiff.h.

Constructor & Destructor Documentation

◆ TPZArtDiff() [1/2]

TPZArtDiff::TPZArtDiff ( )

Simple constructor.

Definition at line 25 of file pzartdiff.cpp.

◆ TPZArtDiff() [2/2]

TPZArtDiff::TPZArtDiff	(	TPZArtDiffType	type,
		REAL	gamma,
		REAL	CFL = `0.`,
		REAL	delta = `0.`
	)

Specific constructor.

Definition at line 15 of file pzartdiff.cpp.

◆ ~TPZArtDiff()

TPZArtDiff::~TPZArtDiff ( )

virtual

Definition at line 34 of file pzartdiff.cpp.

Member Function Documentation

◆ ArtDiffType()

TPZArtDiffType TPZArtDiff::ArtDiffType ( )

Returns the type of artifical diffusion.

Definition at line 38 of file pzartdiff.cpp.

References fArtDiffType.

Referenced by Read().

◆ Bornhaus()

template<class T >

void TPZArtDiff::Bornhaus	(	int	dim,
		TPZFMatrix< REAL > &	jacinv,
		TPZVec< T > &	sol,
		TPZVec< TPZDiffMatrix< T > > &	Ai,
		TPZVec< TPZDiffMatrix< T > > &	Tau
	)

private

Definition at line 400 of file pzartdiff.cpp.

References ContributeBornhaus(), TPZEulerConsLaw::cSpeed(), EigenSystemBornhaus(), fGamma, MMatrix(), TPZDiffMatrix< T >::Multiply(), RMMatrix(), RotMatrix(), and TPZEulerConsLaw::uRes().

Referenced by ComputeTau().

◆ ClassId()

int TPZArtDiff::ClassId ( ) const

overridevirtual

Class identificator.

Implements TPZSavable.

Definition at line 848 of file pzartdiff.cpp.

References Hash().

◆ ComputeTau()

template<class T >

void TPZArtDiff::ComputeTau	(	int	dim,
		TPZFMatrix< REAL > &	jacinv,
		TPZVec< T > &	Sol,
		TPZVec< TPZDiffMatrix< T > > &	Ai,
		TPZVec< TPZDiffMatrix< T > > &	Tau
	)

Computes the diffusive term according to the name.

Tau tensor

Parameters

[in]	dim	Spatial dimension of the problem
[in]	jacinv	Inverse jacobian of the mapping.
[in]	Sol	Solution vector
[in]	Ai	Vector of tensors tangent to the directional fluxes
[out]	Tau	Diffusive tensors

Definition at line 297 of file pzartdiff.cpp.

References Bornhaus(), Bornhaus_AD, fArtDiffType, LeastSquares_AD, LS(), LST(), PZError, SUPG(), SUPG_AD, and TrnLeastSquares_AD.

Referenced by PrepareDiff(), and PrepareFastDiff().

◆ ContributeApproxImplDiff()

void TPZArtDiff::ContributeApproxImplDiff	(	int	dim,
		TPZFMatrix< REAL > &	jacinv,
		TPZVec< STATE > &	sol,
		TPZFMatrix< STATE > &	dsol,
		TPZFMatrix< REAL > &	dphix,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef,
		REAL	weight,
		REAL	timeStep,
		REAL	deltaX
	)

Contributes the diffusion term to the tangent matrix (ek-approximated) and residual vector (ef)

Parameters

[in]	dim	Spatial dimension
[in]	jacinv	Inverse jacobian of the mapping.
[in]	sol	Solution of the dim+2 state functions
[in]	dsol	Derivatives of U with respect to the dim dimensions
[in]	dphix	Derivatives of shape functions.
[out]	ek	Tangent matrix to contribute to
[out]	ef	Residual vector to contribute to
[in]	weight	Gaussian quadrature integration weight
[in]	timeStep	Time step
[in]	deltaX	Diameter of element (used only if );

Definition at line 675 of file pzartdiff.cpp.

References TPZMatrix< TVar >::Cols(), Delta(), and PrepareFastDiff().

Referenced by TPZEulerConsLaw::ContributeApproxImplDiff().

◆ ContributeBornhaus()

template<class T >

void TPZArtDiff::ContributeBornhaus	(	TPZVec< T > &	sol,
		T &	us,
		T &	c,
		REAL	gamma,
		TPZVec< REAL > &	aaS,
		TPZDiffMatrix< T > &	Mat
	)

static

Definition at line 907 of file pzartdiff.h.

References TPZVec< T >::NElements(), PZError, TPZDiffMatrix< T >::Redim(), sqrt, and val().

Referenced by Bornhaus().

◆ ContributeExplDiff()

void TPZArtDiff::ContributeExplDiff	(	int	dim,
		TPZFMatrix< REAL > &	jacinv,
		TPZVec< STATE > &	sol,
		TPZFMatrix< STATE > &	dsol,
		TPZFMatrix< REAL > &	dphix,
		TPZFMatrix< STATE > &	ef,
		REAL	weight,
		REAL	timeStep,
		REAL	deltaX
	)

Contributes the diffusion term to the tangent matrix (ek-approximated) and residual vector (ef)

Parameters

[in]	dim	Spatial dimension
[in]	jacinv	Inverse jacobian of the mapping.
[in]	sol	Solution of the dim+2 state functions
[in]	dsol	Derivatives of U with respect to the dim dimensions
[in]	dphix	Derivatives of shape functions.
[out]	ef	Residual vector to contribute to
[in]	weight	Gaussian quadrature integration weight
[in]	timeStep	Time step
[in]	deltaX	Diameter of element (used only if fDelta > 0);

Definition at line 707 of file pzartdiff.cpp.

References TPZMatrix< TVar >::Cols(), Delta(), dx(), gamma(), TPZVec< T >::NElements(), ODotOperator(), PrepareFastDiff(), TPZEulerConsLaw::Pressure(), Pressure(), PZError, TPZVec< T >::size(), and val().

Referenced by TPZEulerConsLaw::ContributeExplDiff().

◆ Delta()

REAL TPZArtDiff::Delta	(	REAL	deltaX,
		TPZVec< STATE > &	sol
	)

Returns the stored value for delta.

Parameters

[in]	sol	Solution
[in]	deltaX	Delta X If fDelta is positive, then it is used as an overall scale on the deltaX. If fDelta is negative, then the absolute value of it is used as the delta for all elements. If fDelta is zero, then the routine OptimalDelta is called, but this method is useful only for the reflected shock problem. Prefer to use fDelta = 1.

Definition at line 82 of file pzartdiff.cpp.

References Bornhaus_AD, TPZEulerConsLaw::cSpeed(), fArtDiffType, fDelta, fGamma, LeastSquares_AD, OptimalDelta(), PZError, SUPG_AD, TrnLeastSquares_AD, and TPZEulerConsLaw::uRes().

Referenced by ContributeApproxImplDiff(), and ContributeExplDiff().

◆ DiffusionName()

TPZString TPZArtDiff::DiffusionName ( )

Returns the name of diffusive term.

Definition at line 48 of file pzartdiff.cpp.

References Bornhaus_AD, fArtDiffType, LeastSquares_AD, PZError, SUPG_AD, and TrnLeastSquares_AD.

Referenced by TPZEulerConsLaw::Print().

◆ Divergent()

void TPZArtDiff::Divergent	(	TPZFMatrix< STATE > &	dsol,
		TPZFMatrix< REAL > &	dphi,
		TPZVec< TPZDiffMatrix< STATE > > &	Ai,
		TPZVec< STATE > &	Div,
		TPZDiffMatrix< STATE > *	dDiv
	)

Evaluates the divergent of F.

Parameters

[in]	dsol	vector of solution values derived with respect to the spatial variables
[in]	dphi	matrix containig the derivatives of shapefuntions
[in]	Ai	vector of matrices tangent to the flux components.
[out]	Div	value of the divergent
[out]	dDiv	an apposimation to the matrix tangent to the divergent

Definition at line 224 of file pzartdiff.cpp.

References TPZMatrix< TVar >::Cols(), TPZVec< T >::Fill(), TPZDiffMatrix< T >::Redim(), and TPZVec< T >::Resize().

Referenced by ODotOperator(), and PrepareFastDiff().

◆ EigenSystemBornhaus()

template<class T >

void TPZArtDiff::EigenSystemBornhaus	(	TPZVec< T > &	sol,
		T &	us,
		T &	c,
		REAL	gamma,
		TPZVec< REAL > &	aaS,
		TPZDiffMatrix< T > &	Y,
		TPZDiffMatrix< T > &	Yi,
		TPZDiffMatrix< T > &	Lambda
	)

static

aaS[0];

Definition at line 788 of file pzartdiff.h.

References TPZVec< T >::NElements(), PZError, TPZDiffMatrix< T >::Redim(), sqrt, and val().

Referenced by Bornhaus().

◆ EigenSystemSUPG()

template<class T >

void TPZArtDiff::EigenSystemSUPG	(	TPZVec< T > &	sol,
		T &	us,
		T &	c,
		REAL	gamma,
		TPZDiffMatrix< T > &	X,
		TPZDiffMatrix< T > &	Xi,
		TPZDiffMatrix< T > &	Lambda
	)

static

Definition at line 703 of file pzartdiff.h.

References TPZVec< T >::NElements(), PZError, TPZDiffMatrix< T >::Redim(), and sqrt.

Referenced by SUPG().

◆ LS()

template<class T >

void TPZArtDiff::LS	(	int	dim,
		TPZVec< T > &	sol,
		TPZVec< TPZDiffMatrix< T > > &	Ai,
		TPZVec< TPZDiffMatrix< T > > &	Tau
	)

private

Definition at line 382 of file pzartdiff.cpp.

Referenced by ComputeTau().

◆ LST()

template<class T >

void TPZArtDiff::LST	(	int	dim,
		TPZVec< T > &	sol,
		TPZVec< TPZDiffMatrix< T > > &	Ai,
		TPZVec< TPZDiffMatrix< T > > &	Tau
	)

private

Definition at line 391 of file pzartdiff.cpp.

Referenced by ComputeTau().

◆ MMatrix()

template<class T >

void TPZArtDiff::MMatrix	(	TPZVec< T > &	sol,
		T &	us,
		REAL	gamma,
		TPZDiffMatrix< T > &	M,
		TPZDiffMatrix< T > &	Mi
	)

inlinestatic

Definition at line 500 of file pzartdiff.h.

References TPZVec< T >::NElements(), PZError, and TPZDiffMatrix< T >::Redim().

Referenced by Bornhaus(), and SUPG().

◆ ODotOperator() [1/2]

template<class T >

void TPZArtDiff::ODotOperator	(	TPZVec< REAL > &	dphi,
		TPZVec< TPZDiffMatrix< T > > &	M,
		TPZDiffMatrix< T > &	Result
	)

Operation product point in the diffusion term.

Parameters

[in]	dphi	vector of scalars that make part of the ODot operation
[in]	M	vector of matrices to operate
[out]	Result	Result of the operation

Definition at line 122 of file pzartdiff.cpp.

References TPZDiffMatrix< T >::Add(), TPZVec< T >::NElements(), PZError, and TPZDiffMatrix< T >::Redim().

Referenced by ContributeExplDiff().

◆ ODotOperator() [2/2]

template<class T >

void TPZArtDiff::ODotOperator	(	TPZVec< REAL > &	dphi,
		TPZVec< TPZVec< T > > &	TauDiv,
		TPZVec< T > &	Result
	)

Operation product point in the diffusion term.

Parameters

[in]	dphi	vector of scalars that make part of the ODot operation
[in]	TauDiv	vector of vectors to operate
[out]	Result	Result of the operation

Definition at line 137 of file pzartdiff.cpp.

References TPZMatrix< TVar >::Cols(), Divergent(), dx(), TPZVec< T >::Fill(), TPZVec< T >::NElements(), PZError, TPZDiffMatrix< T >::Redim(), TPZVec< T >::Resize(), and val().

◆ OptimalCFL()

REAL TPZArtDiff::OptimalCFL ( int degree = TPZCompEl::GetgOrder() )

Returns the best value for $CFL$ based on the interpolation degree.

Definition at line 115 of file pzartdiff.cpp.

References fCFL.

Referenced by OptimalDelta().

◆ OptimalDelta()

REAL TPZArtDiff::OptimalDelta ( )

Returns the best value for delta based on the interpolation degree.

Definition at line 75 of file pzartdiff.cpp.

References OptimalCFL().

Referenced by Delta().

◆ PrepareDiff()

template<class T >

void TPZArtDiff::PrepareDiff	(	int	dim,
		TPZFMatrix< REAL > &	jacinv,
		TPZVec< T > &	U,
		TPZVec< TPZDiffMatrix< T > > &	Ai,
		TPZVec< TPZDiffMatrix< T > > &	Tau
	)

Computes the common values A B C and Tau vector of matrixes for contributions.

Parameters

[in]	dim	Spatial dimension of the problem
[in]	jacinv	Inverse jacobian of the mapping.
[in]	U	Vector of solutions at the point
[out]	Ai	Matrixes A B C
[out]	Tau	Diffusive vector of matrixes

Definition at line 487 of file pzartdiff.cpp.

References ComputeTau(), fGamma, and TPZEulerConsLaw::JacobFlux().

◆ PrepareFastDiff()

void TPZArtDiff::PrepareFastDiff	(	int	dim,
		TPZFMatrix< REAL > &	jacinv,
		TPZVec< STATE > &	sol,
		TPZFMatrix< STATE > &	dsol,
		TPZFMatrix< REAL > &	dphi,
		TPZVec< TPZVec< STATE > > &	TauDiv,
		TPZVec< TPZDiffMatrix< STATE > > *	pTaudDiv = `NULL`
	)

Prepares the data to compute the diffusive term as fast as possible, sparing operations.

Parameters

[in]	dim	Spatial dimension
[in]	jacinv	Inverse jacobian of the mapping.
[in]	sol	Solution of the dim+2 state functions
[in]	dsol	Derivatives of U with respect to the dim dimensions
[in]	dphi	Derivatives of shape functions.
[out]	TauDiv	Vector of Vectors to store the values of Tau_i*Div
[out]	pTaudDiv	Pointer of a vector to matrices to store the approximate derivatives of . If Null, then no approximation derivative is evaluated.

Definition at line 494 of file pzartdiff.cpp.

References ComputeTau(), Divergent(), dx(), fGamma, TPZEulerConsLaw::JacobFlux(), TPZVec< T >::NElements(), TPZVec< T >::Resize(), and TPZMatrix< TVar >::Rows().

Referenced by ContributeApproxImplDiff(), and ContributeExplDiff().

◆ Pressure()

template<class T >

static void TPZArtDiff::Pressure	(	REAL	gamma,
		int	dim,
		T &	press,
		TPZVec< T > &	U
	)

static

pressure

Referenced by ContributeExplDiff().

◆ Read()

void TPZArtDiff::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

Read the element data from a stream.

Reimplemented from TPZSavable.

Definition at line 838 of file pzartdiff.cpp.

References ArtDiffType(), fArtDiffType, fCFL, fDelta, fGamma, and TPZStream::Read().

Referenced by TPZEulerConsLaw::Read().

◆ RMMatrix()

template<class T >

void TPZArtDiff::RMMatrix	(	TPZVec< T > &	sol,
		T &	us,
		REAL	gamma,
		TPZDiffMatrix< T > &	RTM,
		TPZDiffMatrix< T > &	RMi
	)

inlinestatic

Definition at line 564 of file pzartdiff.h.

References TPZVec< T >::NElements(), PZError, and TPZDiffMatrix< T >::Redim().

Referenced by Bornhaus(), and SUPG().

◆ RotMatrix()

template<class T >

void TPZArtDiff::RotMatrix	(	TPZVec< T > &	sol,
		T &	us,
		TPZDiffMatrix< T > &	Rot,
		TPZDiffMatrix< T > &	RotT
	)

inlinestatic

Definition at line 439 of file pzartdiff.h.

References TPZVec< T >::NElements(), PZError, TPZDiffMatrix< T >::Redim(), and TPZDiffMatrix< T >::Transpose().

Referenced by Bornhaus(), and SUPG().

◆ SetArtDiffType()

void TPZArtDiff::SetArtDiffType ( TPZArtDiffType type )

Configures the type of artificial diffusion.

Parameters

[in] type Type of diffusive term

Definition at line 43 of file pzartdiff.cpp.

References fArtDiffType.

◆ SetDelta()

void TPZArtDiff::SetDelta ( REAL delta )

Sets the value for delta.

Definition at line 110 of file pzartdiff.cpp.

References fDelta.

Referenced by TPZEulerConsLaw::SetDelta().

◆ SUPG()

template<class T >

void TPZArtDiff::SUPG	(	int	dim,
		TPZVec< T > &	sol,
		TPZVec< TPZDiffMatrix< T > > &	Ai,
		TPZVec< TPZDiffMatrix< T > > &	Tau
	)

private

Definition at line 323 of file pzartdiff.cpp.

References TPZEulerConsLaw::cSpeed(), EigenSystemSUPG(), fGamma, MMatrix(), TPZDiffMatrix< T >::Multiply(), RMMatrix(), RotMatrix(), and TPZEulerConsLaw::uRes().

Referenced by ComputeTau().

◆ Write()

void TPZArtDiff::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Save the element data to a stream.

Reimplemented from TPZSavable.

Definition at line 829 of file pzartdiff.cpp.

References fArtDiffType, fCFL, fDelta, fGamma, tmp, and TPZStream::Write().

Referenced by TPZEulerConsLaw::Write().

Member Data Documentation

◆ fArtDiffType

TPZArtDiffType TPZArtDiff::fArtDiffType

private

Kind of artificial diffusion term to apply.

Definition at line 423 of file pzartdiff.h.

Referenced by ArtDiffType(), ComputeTau(), Delta(), DiffusionName(), Read(), SetArtDiffType(), and Write().

◆ fCFL

REAL TPZArtDiff::fCFL

private

$CFL$ number

Definition at line 432 of file pzartdiff.h.

Referenced by OptimalCFL(), Read(), and Write().

◆ fDelta

REAL TPZArtDiff::fDelta

private

Scalar coefficient of the element in the diffusion term.

Definition at line 429 of file pzartdiff.h.

Referenced by Delta(), Read(), SetDelta(), and Write().

◆ fGamma

REAL TPZArtDiff::fGamma

private

Ratio between specific heat is constant and the specific heat the constant volume of a polytropic gas.

Definition at line 426 of file pzartdiff.h.

Referenced by Bornhaus(), Delta(), PrepareDiff(), PrepareFastDiff(), Read(), SUPG(), and Write().

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

Material/REAL/pzartdiff.h
Material/REAL/pzartdiff.cpp

Public Member Functions

Static Public Member Functions

Private Member Functions

Private Attributes

Attributes and parameters

Detailed Description

Constructor & Destructor Documentation

◆ TPZArtDiff() [1/2]

◆ TPZArtDiff() [2/2]

◆ ~TPZArtDiff()

Member Function Documentation

◆ ArtDiffType()

◆ Bornhaus()

◆ ClassId()

◆ ComputeTau()

◆ ContributeApproxImplDiff()

◆ ContributeBornhaus()

◆ ContributeExplDiff()

◆ Delta()

◆ DiffusionName()

◆ Divergent()

◆ EigenSystemBornhaus()

◆ EigenSystemSUPG()

◆ LS()

◆ LST()

◆ MMatrix()

◆ ODotOperator() [1/2]

◆ ODotOperator() [2/2]

◆ OptimalCFL()

◆ OptimalDelta()

◆ PrepareDiff()

◆ PrepareFastDiff()

◆ Pressure()

◆ Read()

◆ RMMatrix()

◆ RotMatrix()

◆ SetArtDiffType()

◆ SetDelta()

◆ SUPG()

◆ Write()

Member Data Documentation

◆ fArtDiffType

◆ fCFL

◆ fDelta

◆ fGamma