Builds finite element arrays for transient incompressible fluid flow using Navier-Stokes equations in 3-D domains. Numerical approximation uses stabilized 4-node tatrahedral finite elements for velocity and pressure. 2nd-order projection scheme is used for time integration. More...

#include <TINS3DT4S.h>

Inheritance diagram for TINS3DT4S:

Public Member Functions
	TINS3DT4S ()
	Default Constructor.

	TINS3DT4S (Mesh &ms)
	Constructor using mesh. More...

	TINS3DT4S (Mesh &ms, Vect< real_t > &u)
	Constructor using mesh and velocity. More...

	~TINS3DT4S ()
	Destructor.

void	setInput (EqDataType opt, Vect< real_t > &u)
	Set equation input data. More...

int	runOneTimeStep ()
	Run one time step.

int	run ()
	Run (in the case of one step run)

Public Member Functions inherited from Equa_Fluid< 4, 12, 3, 9 >
	Equa_Fluid ()
	Default constructor. More...

virtual	~Equa_Fluid ()
	Destructor.

void	Reynolds (const real_t &Re)
	Set Reynolds number.

void	Viscosity (const real_t &visc)
	Set (constant) Viscosity.

void	Viscosity (const string &exp)
	Set viscosity given by an algebraic expression.

void	Density (const real_t &dens)
	Set (constant) Viscosity.

void	Density (const string &exp)
	Set Density given by an algebraic expression.

void	ThermalExpansion (const real_t *e)
	Set (constant) thermal expansion coefficient.

void	ThermalExpansion (const string &exp)
	Set thermal expansion coefficient given by an algebraic expression.

void	setMaterial ()
	Set material properties.

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

	Equation (Mesh &mesh)
	Constructor with mesh instance. More...

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

	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. More...

	~Equation ()
	Destructor.

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

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

void	LocalNodeVector (Vect< real_t > &b)
	Localize Element Vector from a Vect instance. More...

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

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

void	SideSideVector (const Vect< real_t > &b, std::valarray< real_t > &bs)
	Localize Side Vector from a Vect instance. More...

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

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

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

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

void	SideVector (const Vect< real_t > &b, std::valarray< real_t > &sb)
	Localize Side Vector. More...

void	ElementNodeCoordinates ()
	Localize coordinates of element nodes. More...

void	SideNodeCoordinates ()
	Localize coordinates of side nodes. More...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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. More...

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. More...

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. More...

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. More...

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. More...

void	setMatrixType (int t)
	Choose type of matrix. More...

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. More...

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

void	LinearSystemInfo ()
	Print info on linear system solver.

Detailed Description

Builds finite element arrays for transient incompressible fluid flow using Navier-Stokes equations in 3-D domains. Numerical approximation uses stabilized 4-node tatrahedral finite elements for velocity and pressure. 2nd-order projection scheme is used for time integration.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

Constructor & Destructor Documentation

◆ TINS3DT4S() [1/2]

TINS3DT4S ( Mesh & ms )

Constructor using mesh.

Parameters

[in] ms Mesh instance

◆ TINS3DT4S() [2/2]

TINS3DT4S	(	Mesh &	ms,
		Vect< real_t > &	u
	)

Constructor using mesh and velocity.

Parameters

[in]	ms	Mesh instance
[in,out]	u	Vect instance containing initial velocity. This vector is updated during computations and will therefore contain velocity at each time step

Member Function Documentation

◆ setInput()

void setInput	(	EqDataType	opt,
		Vect< real_t > &	u
	)

Set equation input data.

Parameters

[in]	opt	Parameter to select type of input (enumerated values) `INITIAL_FIELD`: Initial temperature `BOUNDARY_CONDITION_DATA`: Boundary condition (Dirichlet) `SOURCE_DATA`: Heat source `FLUX_DATA`: Heat flux (Neumann boundary condition). NOT IMPLEMENTED `VELOCITY_FIELD`: Velocity vector (for the convection term)
[in]	u	Vector containing input data (Vect instance)

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ TINS3DT4S() [1/2]

◆ TINS3DT4S() [2/2]

Member Function Documentation

◆ setInput()