This class adds to the term of diffusion to the variacional formularization
of the differential equation partial compressible of Euler (hyperbolic). Analysis: Solving process Analysis. More...

#include <TPZDiffusionConsLaw.h>

Collaboration diagram for TPZDiffusionConsLaw:

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Public Member Functions
	TPZDiffusionConsLaw ()
	Default constructor. More...

	TPZDiffusionConsLaw (TPZVec< REAL > U, REAL gamma, int dim, const std::string &diff)
	Constructor for model dimension dim. More...

	~TPZDiffusionConsLaw ()
	Destructor. More...

void	GradientOfTheFlow (TPZFMatrix< REAL > &DF1, TPZFMatrix< REAL > &DF2, TPZFMatrix< REAL > &DF3)

REAL	DeltaOtimo ()

REAL	Delta ()

REAL	CFL (int degree)

void	Divergence (TPZVec< REAL > &dphi, TPZFMatrix< REAL > &diverg)

void	PointOperator (TPZVec< REAL > &dphi, TPZFMatrix< REAL > &diff_term)
	Operation product point in the diffusion term. More...

void	Tau (TPZFMatrix< REAL > &Tx, TPZFMatrix< REAL > &Ty, TPZFMatrix< REAL > &Tz)

void	SUPG (TPZFMatrix< REAL > &Tx, TPZFMatrix< REAL > &Ty, TPZFMatrix< REAL > &Tz)

void	LS (TPZFMatrix< REAL > &Tx, TPZFMatrix< REAL > &Ty, TPZFMatrix< REAL > &Tz)

void	Bornhaus (TPZFMatrix< REAL > &Tx, TPZFMatrix< REAL > &Ty, TPZFMatrix< REAL > &Tz)

Static Public Member Functions
static void	JacobFlux (TPZVec< REAL > U, TPZFMatrix< REAL > &A, TPZFMatrix< REAL > &B, TPZFMatrix< REAL > &C)
	Jacobiano of the tensor flux of Euler. More...

static void	Roe_Flux (REAL rho_f, REAL rhou_f, REAL rhov_f, REAL rhow_f, REAL rhoE_f, REAL rho_t, REAL rhou_t, REAL rhov_t, REAL rhow_t, REAL rhoE_t, REAL nx, REAL ny, REAL nz, REAL gam, REAL &flux_rho, REAL &flux_rhou, REAL &flux_rhov, REAL &flux_rhow, REAL &flux_rhoE)
	Flux of Roe (MOUSE program) More...

static void	Roe_Flux (REAL rho_f, REAL rhou_f, REAL rhov_f, REAL rhoE_f, REAL rho_t, REAL rhou_t, REAL rhov_t, REAL rhoE_t, REAL nx, REAL ny, REAL gam, REAL &flux_rho, REAL &flux_rhou, REAL &flux_rhov, REAL &flux_rhoE)

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

static REAL	fDelta
	Coefficient of size ratio of the element in the diffusion term. More...

static REAL	fCFL
	Parameter that it limits the condition of stability of the numerical approach. More...

static std::string	fArtificialDiffusion
	Term that adds stability to the numerical method of approach: SUPG, LS, Bornhaus. More...

Private Attributes
TPZFMatrix< REAL >	fA
	Matrix computation derivatives of fluxes: dFx/dx, dFy/dy, dFz/dz. More...

TPZFMatrix< REAL >	fB

TPZFMatrix< REAL >	fC

int	fDimension
	Problem dimension. More...

Detailed Description

This class adds to the term of diffusion to the variacional formularization
of the differential equation partial compressible of Euler (hyperbolic). Analysis: Solving process Analysis.

This term is introduced to stabilize the numerical method of approach.

Definition at line 21 of file TPZDiffusionConsLaw.h.

Constructor & Destructor Documentation

◆ TPZDiffusionConsLaw() [1/2]

TPZDiffusionConsLaw::TPZDiffusionConsLaw ( )

Default constructor.

Definition at line 19 of file TPZDiffusionConsLaw.cpp.

◆ TPZDiffusionConsLaw() [2/2]

TPZDiffusionConsLaw::TPZDiffusionConsLaw	(	TPZVec< REAL >	U,
		REAL	gamma,
		int	dim,
		const std::string &	diff
	)

Constructor for model dimension dim.

Definition at line 27 of file TPZDiffusionConsLaw.cpp.

References fA, fArtificialDiffusion, fB, fC, fDimension, fGamma, gamma(), JacobFlux(), and TPZFMatrix< TVar >::Redim().

◆ ~TPZDiffusionConsLaw()

TPZDiffusionConsLaw::~TPZDiffusionConsLaw ( )

Destructor.

Definition at line 17 of file TPZDiffusionConsLaw.cpp.

Member Function Documentation

◆ Bornhaus()

void TPZDiffusionConsLaw::Bornhaus	(	TPZFMatrix< REAL > &	Tx,
		TPZFMatrix< REAL > &	Ty,
		TPZFMatrix< REAL > &	Tz
	)

Definition at line 131 of file TPZDiffusionConsLaw.cpp.

Referenced by Tau().

◆ CFL()

REAL TPZDiffusionConsLaw::CFL ( int degree )

Definition at line 46 of file TPZDiffusionConsLaw.cpp.

References fCFL.

Referenced by DeltaOtimo().

◆ Delta()

REAL TPZDiffusionConsLaw::Delta ( )

Definition at line 52 of file TPZDiffusionConsLaw.cpp.

References fDelta.

◆ DeltaOtimo()

REAL TPZDiffusionConsLaw::DeltaOtimo ( )

Definition at line 56 of file TPZDiffusionConsLaw.cpp.

References CFL(), degree(), and TPZCompEl::GetgOrder().

◆ Divergence()

void TPZDiffusionConsLaw::Divergence	(	TPZVec< REAL > &	dphi,
		TPZFMatrix< REAL > &	diverg
	)

Definition at line 64 of file TPZDiffusionConsLaw.cpp.

References fArtificialDiffusion, fDimension, PointOperator(), TPZFMatrix< TVar >::Redim(), and TPZFMatrix< TVar >::Zero().

◆ GradientOfTheFlow()

void TPZDiffusionConsLaw::GradientOfTheFlow	(	TPZFMatrix< REAL > &	DF1,
		TPZFMatrix< REAL > &	DF2,
		TPZFMatrix< REAL > &	DF3
	)

Definition at line 39 of file TPZDiffusionConsLaw.cpp.

References fA, fB, and fC.

◆ JacobFlux()

void TPZDiffusionConsLaw::JacobFlux	(	TPZVec< REAL >	U,
		TPZFMatrix< REAL > &	A,
		TPZFMatrix< REAL > &	B,
		TPZFMatrix< REAL > &	C
	)

static

Jacobiano of the tensor flux of Euler.

Definition at line 135 of file TPZDiffusionConsLaw.cpp.

References fabs, fGamma, TPZFMatrix< TVar >::Redim(), and TPZMatrix< TVar >::Rows().

Referenced by TPZDiffusionConsLaw().

◆ LS()

void TPZDiffusionConsLaw::LS	(	TPZFMatrix< REAL > &	Tx,
		TPZFMatrix< REAL > &	Ty,
		TPZFMatrix< REAL > &	Tz
	)

Definition at line 124 of file TPZDiffusionConsLaw.cpp.

References fA, fB, fC, and TPZFMatrix< TVar >::Transpose().

Referenced by Tau().

◆ PointOperator()

void TPZDiffusionConsLaw::PointOperator	(	TPZVec< REAL > &	dphi,
		TPZFMatrix< REAL > &	diff_term
	)

Operation product point in the diffusion term.

Definition at line 78 of file TPZDiffusionConsLaw.cpp.

References fDimension, TPZVec< T >::NElements(), TPZFMatrix< TVar >::Redim(), Tau(), TPZFMatrix< TVar >::Transpose(), and TPZFMatrix< TVar >::Zero().

Referenced by Divergence().

◆ Roe_Flux() [1/2]

void TPZDiffusionConsLaw::Roe_Flux	(	REAL	rho_f,
		REAL	rhou_f,
		REAL	rhov_f,
		REAL	rhow_f,
		REAL	rhoE_f,
		REAL	rho_t,
		REAL	rhou_t,
		REAL	rhov_t,
		REAL	rhow_t,
		REAL	rhoE_t,
		REAL	nx,
		REAL	ny,
		REAL	nz,
		REAL	gam,
		REAL &	flux_rho,
		REAL &	flux_rhou,
		REAL &	flux_rhov,
		REAL &	flux_rhow,
		REAL &	flux_rhoE
	)

static

Flux of Roe (MOUSE program)

Definition at line 347 of file TPZDiffusionConsLaw.cpp.

References sqrt.

◆ Roe_Flux() [2/2]

void TPZDiffusionConsLaw::Roe_Flux	(	REAL	rho_f,
		REAL	rhou_f,
		REAL	rhov_f,
		REAL	rhoE_f,
		REAL	rho_t,
		REAL	rhou_t,
		REAL	rhov_t,
		REAL	rhoE_t,
		REAL	nx,
		REAL	ny,
		REAL	gam,
		REAL &	flux_rho,
		REAL &	flux_rhou,
		REAL &	flux_rhov,
		REAL &	flux_rhoE
	)

static

Definition at line 557 of file TPZDiffusionConsLaw.cpp.

References sqrt.

◆ SUPG()

void TPZDiffusionConsLaw::SUPG	(	TPZFMatrix< REAL > &	Tx,
		TPZFMatrix< REAL > &	Ty,
		TPZFMatrix< REAL > &	Tz
	)

Definition at line 120 of file TPZDiffusionConsLaw.cpp.

Referenced by Tau().

◆ Tau()

void TPZDiffusionConsLaw::Tau	(	TPZFMatrix< REAL > &	Tx,
		TPZFMatrix< REAL > &	Ty,
		TPZFMatrix< REAL > &	Tz
	)

Definition at line 103 of file TPZDiffusionConsLaw.cpp.

References Bornhaus(), fArtificialDiffusion, LS(), and SUPG().

Referenced by PointOperator().

Member Data Documentation

◆ fA

TPZFMatrix<REAL> TPZDiffusionConsLaw::fA

private

Matrix computation derivatives of fluxes: dFx/dx, dFy/dy, dFz/dz.

Definition at line 39 of file TPZDiffusionConsLaw.h.

Referenced by GradientOfTheFlow(), LS(), and TPZDiffusionConsLaw().

◆ fArtificialDiffusion

std::string TPZDiffusionConsLaw::fArtificialDiffusion

static

Term that adds stability to the numerical method of approach: SUPG, LS, Bornhaus.

Definition at line 35 of file TPZDiffusionConsLaw.h.

Referenced by Divergence(), Tau(), and TPZDiffusionConsLaw().

◆ fB

TPZFMatrix<REAL> TPZDiffusionConsLaw::fB

private

Definition at line 39 of file TPZDiffusionConsLaw.h.

Referenced by GradientOfTheFlow(), LS(), and TPZDiffusionConsLaw().

◆ fC

TPZFMatrix<REAL> TPZDiffusionConsLaw::fC

private

Definition at line 39 of file TPZDiffusionConsLaw.h.

Referenced by GradientOfTheFlow(), LS(), and TPZDiffusionConsLaw().

◆ fCFL

REAL TPZDiffusionConsLaw::fCFL

static

Parameter that it limits the condition of stability of the numerical approach.

Definition at line 32 of file TPZDiffusionConsLaw.h.

Referenced by CFL().

◆ fDelta

REAL TPZDiffusionConsLaw::fDelta

static

Coefficient of size ratio of the element in the diffusion term.

Definition at line 29 of file TPZDiffusionConsLaw.h.

Referenced by Delta().

◆ fDimension

int TPZDiffusionConsLaw::fDimension

private

Problem dimension.

Definition at line 42 of file TPZDiffusionConsLaw.h.

Referenced by Divergence(), PointOperator(), and TPZDiffusionConsLaw().

◆ fGamma

REAL TPZDiffusionConsLaw::fGamma

static

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

Definition at line 26 of file TPZDiffusionConsLaw.h.

Referenced by JacobFlux(), and TPZDiffusionConsLaw().

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

Material/REAL/TPZDiffusionConsLaw.h
Material/REAL/TPZDiffusionConsLaw.cpp

Public Member Functions

Static Public Member Functions

Static Public Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ TPZDiffusionConsLaw() [1/2]

◆ TPZDiffusionConsLaw() [2/2]

◆ ~TPZDiffusionConsLaw()

Member Function Documentation

◆ Bornhaus()

◆ CFL()

◆ Delta()

◆ DeltaOtimo()

◆ Divergence()

◆ GradientOfTheFlow()

◆ JacobFlux()

◆ LS()

◆ PointOperator()

◆ Roe_Flux() [1/2]

◆ Roe_Flux() [2/2]

◆ SUPG()

◆ Tau()

Member Data Documentation

◆ fA

◆ fArtificialDiffusion

◆ fB

◆ fC

◆ fCFL

◆ fDelta

◆ fDimension

◆ fGamma