Abstract class for Heat transfer Finite Element classes. More...

#include <Equa_Therm.h>

Inheritance diagram for Equa_Therm< NEN_, NEE_, NSN_, NSE_ >:

Public Member Functions
	Equa_Therm ()
	Default constructor.

virtual	~Equa_Therm ()
	Destructor.

virtual void	setStab ()
	Set stabilized formulation.

virtual void	LCapacity (real_t coef=1)
	Add lumped capacity contribution to element matrix.

virtual void	Capacity (real_t coef=1)
	Add consistent capacity contribution to left-hand side.

virtual void	Diffusion (real_t coef=1.)
	Add diffusion term to element matrix.

virtual void	Convection (real_t coef=1.)
	Add convection term to element matrix.

virtual void	BodyRHS (const Vect< real_t > &f)
	Add body right-hand side term to right-hand side.

virtual void	BoundaryRHS (const Vect< real_t > &f)
	Add boundary right-hand side term to right-hand side.

void	build ()
	Build the linear system of equations.

void	build (TimeStepping &s)
	Build the linear system of equations.

void	build (EigenProblemSolver &e)
	Build the linear system for an eigenvalue problem.

void	setRho (const real_t &rho)
	Set Density (constant)

void	setCp (const real_t &cp)
	Set Specific heat (constant)

void	setConductivity (const real_t &diff)
	Set (constant) thermal conductivity.

Public Member Functions inherited from Equation< NEN_, NEE_, NSN_, NSE_ >
	Equation ()

	Equation (Mesh &mesh)
	Constructor with mesh instance.

	Equation (Mesh &mesh, Vect< real_t > &u)
	Constructor with mesh instance and solution vector.

	Equation (Mesh &mesh, Vect< real_t > &u, real_t &init_time, real_t &final_time, real_t &time_step)
	Constructor with mesh instance, matrix and right-hand side.

	~Equation ()
	Destructor.

void	updateBC (const Element &el, const Vect< real_t > &bc)
	Update Right-Hand side by taking into account essential boundary conditions.

void	DiagBC (DOFSupport dof_type=NODE_DOF, int dof=0)
	Update element matrix to impose bc by diagonalization technique.

void	LocalNodeVector (Vect< real_t > &b)
	Localize element vector from a Vect instance.

void	ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEE_ > &be)
	Localize element vector from a Vect instance.

void	SideNodeVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &bs)
	Localize side vector from a Vect instance.

void	SideSideVector (const Vect< real_t > &b, vector< real_t > &bs)
	Localize side vector from a Vect instance.

void	ElementNodeVectorSingleDOF (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be)
	Localize Element Vector from a Vect instance.

void	ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be, int dof)
	Localize Element Vector from a Vect instance.

void	ElementSideVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &be)
	Localize Element Vector from a Vect instance.

void	ElementVector (const Vect< real_t > &b, DOFSupport dof_type=NODE_DOF, int flag=0)
	Localize element vector.

void	SideVector (const Vect< real_t > &b, vector< real_t > &sb)
	Localize side vector.

void	ElementNodeCoordinates ()
	Localize coordinates of element nodes.

void	SideNodeCoordinates ()
	Localize coordinates of side nodes.

void	ElementAssembly (Matrix< real_t > *A)
	Assemble element matrix into global one.

void	ElementAssembly (BMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SkSMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SkMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SpMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (TrMatrix< real_t > &A)
	Assemble element matrix into global one.

void	DGElementAssembly (Matrix< real_t > *A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SkSMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SkMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SpMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (TrMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	SideAssembly (Matrix< real_t > *A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SkSMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SkMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SpMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	ElementAssembly (Vect< real_t > &v)
	Assemble element vector into global one.

void	SideAssembly (Vect< real_t > &v)
	Assemble side (edge or face) vector into global one.

void	AxbAssembly (const Element &el, const Vect< real_t > &x, Vect< real_t > &b)
	Assemble product of element matrix by element vector into global vector.

void	AxbAssembly (const Side &sd, const Vect< real_t > &x, Vect< real_t > &b)
	Assemble product of side matrix by side vector into global vector.

size_t	getNbNodes () const
	Return number of element nodes.

size_t	getNbEq () const
	Return number of element equations.

real_t	setMaterialProperty (const string &exp, const string &prop)
	Define a material property by an algebraic expression.

Public Member Functions inherited from Equa
	Equa ()
	Default constructor.

virtual	~Equa ()
	Destructor.

void	setMesh (Mesh &m)
	Define mesh and renumber DOFs after removing imposed ones.

Mesh &	getMesh () const
	Return reference to Mesh instance.

LinearSolver &	getLinearSolver ()
	Return reference to linear solver instance.

Matrix< real_t > *	getMatrix () const
	Return pointer to matrix.

void	setSolver (Iteration ls, Preconditioner pc=IDENT_PREC)
	Choose solver for the linear system.

void	setMatrixType (int t)
	Choose type of matrix.

int	solveLinearSystem (Matrix< real_t > *A, Vect< real_t > &b, Vect< real_t > &x)
	Solve the linear system with given matrix and right-hand side.

int	solveLinearSystem (Vect< real_t > &b, Vect< real_t > &x)
	Solve the linear system with given right-hand side.

void	LinearSystemInfo ()
	Print info on linear system solver.

Protected Member Functions
void	setMaterial ()
	Set material properties.

Detailed Description

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>
class OFELI::Equa_Therm< NEN_, NEE_, NSN_, NSE_ >

Abstract class for Heat transfer Finite Element classes.

Template Parameters

<NEN>	Number of element nodes
<NEE_>	Number of element equations
<NSN_>	Number of side nodes
<NSE_>	Number of side equations

Constructor & Destructor Documentation

◆ Equa_Therm()

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

Equa_Therm ( )

Default constructor.

Constructs an empty equation.

Member Function Documentation

◆ BodyRHS()

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

virtual void BodyRHS ( const Vect< real_t > & f )

virtual

Add body right-hand side term to right-hand side.

Parameters

[in] f Vector containing source at nodes.

Reimplemented in DC1DL2, DC2DT3, DC2DT6, DC3DAT3, and DC3DT4.

◆ BoundaryRHS()

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

virtual void BoundaryRHS ( const Vect< real_t > & f )

virtual

Add boundary right-hand side term to right-hand side.

Parameters

[in] f Vector containing source at nodes.

Reimplemented in DC2DT3, DC2DT6, DC3DAT3, and DC3DT4.

◆ build() [1/3]

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

void build ( )

Build the linear system of equations.

Before using this function, one must have properly selected appropriate options for:

The choice of a steady state or transient analysis. By default, the analysis is stationary
In the case of transient analysis, the choice of a time integration scheme and a lumped or consistent capacity matrix. If transient analysis is chosen, the lumped capacity matrix option is chosen by default, and the implicit Euler scheme is used by default for time integration.

◆ build() [2/3]

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

void build ( EigenProblemSolver & e )

Build the linear system for an eigenvalue problem.

Parameters

[in] e Reference to used EigenProblemSolver instance

◆ build() [3/3]

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

void build ( TimeStepping & s )

Build the linear system of equations.

Before using this function, one must have properly selected appropriate options for:

The choice of a steady state or transient analysis. By default, the analysis is stationary
In the case of transient analysis, the choice of a time integration scheme and a lumped or consistent capacity matrix. If transient analysis is chosen, the lumped capacity matrix option is chosen by default, and the implicit Euler scheme is used by default for time integration.

Parameters

[in] s Reference to used TimeStepping instance

◆ Capacity()

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

virtual void Capacity ( real_t coef = 1 )

virtual

Add consistent capacity contribution to left-hand side.

Parameters

[in] coef coefficient to multiply by the matrix before adding [Default: 1]

Reimplemented in DC1DL2, DC2DT3, DC2DT6, DC3DAT3, and DC3DT4.

◆ LCapacity()

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

virtual void LCapacity ( real_t coef = 1 )

virtual

Add lumped capacity contribution to element matrix.

Parameters

[in] coef coefficient to multiply by the matrix before adding [Default: 1]

Reimplemented in DC1DL2, DC2DT3, DC2DT6, DC3DAT3, and DC3DT4.

◆ setStab()

template<size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>

virtual void setStab ( )

virtual

Set stabilized formulation.

Stabilized variational formulations are to be used when the Péclet number is large.
By default, no stabilization is used.

Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ Equa_Therm()

Member Function Documentation

◆ BodyRHS()

◆ BoundaryRHS()

◆ build() [1/3]

◆ build() [2/3]

◆ build() [3/3]

◆ Capacity()

◆ LCapacity()

◆ setStab()