LCL2DT Class Reference
[Conservation Law Equations]

#include <LCL2DT.h>

Inheritance diagram for LCL2DT:

Detailed Description

Class to solve the linear hyperbolic equation in 2-D by a MUSCL Finite Volume scheme on triangles.


Public Types
enum	Limiter { MINMOD_LIMITER = 0, SUPERBEE_LIMITER = 2, VANLEER_LIMITER = 1, VANALBADA_LIMITER = 3, MAX_LIMITER = 4, L_FORCE_WORD = 0xFFFFFFFF }
enum	Method { FIRST_ORDER_METHOD = 0, MULTI_SLOPE_M_METHOD = 2, MULTI_SLOPE_Q_METHOD = 1, M_FORCE_WORD = 0xFFFFFFFF }
Public Member Functions
void	Forward (const SideVect< double > &Flux, ElementVect< double > &Field)
	Computation of the primal variable n->n+1.
double	getCFL () const
	Return CFL value.
SideVect< double > &	getFlux ()
	Return sidewise flux vector.
Mesh &	getMesh () const
	Return reference to Mesh instance.
double	getReferenceLength () const
	Return reference length.
double	getTimeStep () const
	Return time step value.
	LCL2DT (Mesh &m, ElementVect< double > &U)
	Constructor using mesh and initial data.
	LCL2DT (Mesh &m)
	Constructor using Mesh instance.
double	runOneTimeStep ()
	Run one time step of the linear conservation law.
void	setBC (int code, double u)
	Set Dirichlet boundary condition.
void	setBC (const Side &sd, double u)
	Set Dirichlet boundary condition.
void	setBC (double u)
	Set Dirichlet boundary condition.
void	setCFL (double CFL)
	Assign CFL value.
void	setInitialCondition (double u)
	Set a constant initial condition.
void	setInitialCondition (ElementVect< double > &u)
	Set elementwise initial condition.
void	setLimiter (Limiter l)
	Choose a flux limiter.
void	setMethod (const Method &s)
	Choose a flux solver.
bool	setReconstruction (const ElementVect< double > &U, SideVect< double > &GU, SideVect< double > &DU, int dof)
	Function to reconstruct by the Muscl method.
void	setReconstruction ()
	Reconstruct flux using Muscl scheme.
void	setReferenceLength (double dx)
	Assign reference length value.
void	setTimeStep (double dt)
	Assign time step value.
void	setVelocity (const LocalVect< double, 2 > &v)
	Set (constant) convection velocity.
void	setVelocity (const SideVect< double > &v)
	Set convection velocity.
void	setVerbose (int v)
	Set verbosity parameter.
	~LCL2DT ()
	Destructor.
Protected Member Functions
void	Initialize ()
	Construction of normals to sides.

Member Enumeration Documentation

enum Limiter [inherited]

Enumerator:

MINMOD_LIMITER	MinMod limiter
SUPERBEE_LIMITER	Superbee limiter
VANLEER_LIMITER	Van Leer limiter
VANALBADA_LIMITER	Van Albada limiter
MAX_LIMITER	Max limiter
L_FORCE_WORD	for compatibity reason, gcc may return a warning anyway

enum Method [inherited]

Enumerator:

FIRST_ORDER_METHOD	First Order upwind method
MULTI_SLOPE_M_METHOD	Multislope M method
MULTI_SLOPE_Q_METHOD	Multislope Q method
M_FORCE_WORD	for compatibity reasons, gcc may return a warning anyway

Constructor & Destructor Documentation

LCL2DT	(	Mesh &	m,
		ElementVect< double > &	U
	)

Constructor using mesh and initial data.

Parameters:

`[in]`	m	Reference to Mesh instance
`[in]`	U	Vector containing initial (elementwise) solution

Member Function Documentation

void Forward	(	const SideVect< double > &	Flux,
		ElementVect< double > &	Field
	)

Computation of the primal variable n->n+1.

Vector Flux contains elementwise fluxes issued from the Riemann problem, calculated with, as left element, getNeighborElement(1) and right element getNeighborElement(2) if getNeighborElement(2) doesn't exist, we are on a boundary and we prescribe a symmetry condition

void Initialize ( ) [protected, inherited]

Construction of normals to sides.

Convention: for a given side, getPtrElement(1) is the left element and getPtrElement(2) is the right element. The normal goes from left to right. For boundary sides, the normal is pointed outward.

double runOneTimeStep ( )

Run one time step of the linear conservation law.

Return values:

ts

Value of the time step

void setBC	(	int	code,
		double	u
	)

Set Dirichlet boundary condition.

Assign a constant value sides with a given code

Parameters:

`[in]`	code	Code of sides to which value is prescibed
`[in]`	u	Value to prescribe

void setBC	(	const Side &	sd,
		double	u
	)

Set Dirichlet boundary condition.

Assign a constant value to a side

Parameters:

`[in]`	sd	Side to which value is prescibed
`[in]`	u	Value to prescribe

void setBC ( double u )

Set Dirichlet boundary condition.

Assign a constant value u to all boundary sides

void setCFL ( double CFL ) [inherited]

Assign CFL value.

Parameters:

CFL

[in] Value of CFL

void setInitialCondition ( double u )

Set a constant initial condition.

Parameters:

[in] u Value of initial condition to assign to all elements

void setInitialCondition ( ElementVect< double > & u )

Set elementwise initial condition.

Parameters:

[in] u ElementVect instance containing initial condition values

void setLimiter ( Limiter l ) [inherited]

Choose a flux limiter.

Parameters:

[in] l Limiter to choose

void setMethod ( const Method & s ) [inherited]

Choose a flux solver.

Parameters:

[in] s Solver to choose

bool setReconstruction	(	const ElementVect< double > &	U,
		SideVect< double > &	GU,
		SideVect< double > &	DU,
		int	dof
	)			`[inherited]`

Function to reconstruct by the Muscl method.

Parameters:

`[in]`	U	Field to reconstruct
`[out]`	GU	Left gradient vector
`[out]`	DU	Right gradient vector
`[in]`	dof	Label of dof to reconstruct

void setReferenceLength ( double dx ) [inherited]

Assign reference length value.

Parameters:

dx

[in] Value of reference length

Reimplemented in LCL1D, and LCL3DT.

void setTimeStep ( double dt ) [inherited]

Assign time step value.

Parameters:

dt

[in] Time step value

void setVelocity ( const LocalVect< double, 2 > & v )

Set (constant) convection velocity.

Parameters:

[in] u Vector containing constant velocity to prescribe

void setVelocity ( const SideVect< double > & v )

Set convection velocity.

Parameters:

[in] v SideVect instance containing velocity

void setVerbose ( int v ) [inherited]

Set verbosity parameter.

Parameters:

[in] v Value of verbosity parameter

LCL2DT Class Reference [Conservation Law Equations]

Detailed Description

Public Types

Public Member Functions

Protected Member Functions

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

LCL2DT Class Reference
[Conservation Law Equations]