Converters and projectors.
[Mesh and mesh functions.]

Typedefs
typedef double(*	phelm::f_xy_t )(double x, double y)
	Function.
typedef double(*	phelm::f_xyt_t )(double x, double y, double t)
	Function.
Functions
void	phelm::p2u (double *u, const double *p, const double *bnd, const Mesh &m)
	Add boundary conditions to p.
void	phelm::u2p (double *p, const double *u, const Mesh &m)
	Remove boundary conditions from u.
void	phelm::proj (double *F, const Mesh &mesh, f_xy_t f)
	Project function f(x,y) to the mesh.
void	phelm::proj_bnd (double *F, const Mesh &m, f_xy_t f)
	Project function f(x,y) to the boundary of the mesh.
void	phelm::proj_bnd (double *F, const double *F1, const Mesh &m)
	Project vector F1 to the boundary of the mesh.
void	phelm::set_bnd (double *F, const double *bnd, const Mesh &m)
	Set the boundary value of vector F.
void	phelm::proj (double *F, const Mesh &mesh, f_xyt_t f, double t)
	Project function f(x,y,t) to the mesh.
void	phelm::proj_bnd (double *F, const Mesh &m, f_xyt_t f, double t)
	Project function f(x,y,t) to the boundary of the mesh.

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Typedef Documentation

typedef double(* phelm::f_xy_t)(double x, double y)

Function.

Parameters:

	x	- x coordinate
	y	- y coordinate

Returns:

value

Definition at line 646 of file phelm.h.

typedef double(* phelm::f_xyt_t)(double x, double y, double t)

Function.

Parameters:

	x	- x coordinate
	y	- y cooddinate
	t	- time

Returns:

value

Definition at line 655 of file phelm.h.

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Function Documentation

void phelm::p2u	(	double *	u,
		const double *	p,
		const double *	bnd,
		const Mesh &	m
	)

Add boundary conditions to p.

Parameters:

	p	- the value of u on the inner mesh points
	u	- (output) mesh function
	bnd	- the value of u on the boundary mesh points
	m	- mesh

Examples:

test_barvortex.cpp, and test_system_laplace.cpp.

Definition at line 352 of file phelm.cpp.

void phelm::proj	(	double *	F,
		const Mesh &	mesh,
		f_xyt_t	f,
		double	t
	)

Project function f(x,y,t) to the mesh.

Parameters:

	F	- (output) the value of f(x,y) on mesh points
	mesh	- the mesh
	f	- function f(x, y)
	t	- time

Definition at line 455 of file phelm.cpp.

void phelm::proj	(	double *	F,
		const Mesh &	mesh,
		f_xy_t	f
	)

Project function f(x,y) to the mesh.

Parameters:

	F	- (output) the value of f(x,y) on mesh points
	mesh	- the mesh
	f	- function f(x, y)

Examples:

test_baroclin.cpp, test_barvortex.cpp, test_chafe.cpp, test_laplace.cpp, test_schafe.cpp, test_slaplace.cpp, and test_system_laplace.cpp.

Definition at line 427 of file phelm.cpp.

void phelm::proj_bnd	(	double *	F,
		const Mesh &	m,
		f_xyt_t	f,
		double	t
	)

Project function f(x,y,t) to the boundary of the mesh.

Parameters:

	F	- (output) the value of f(x,y) on boundary points
	m	- the mesh
	f	- function f(x, y)
	t	- time

Definition at line 463 of file phelm.cpp.

void phelm::proj_bnd	(	double *	F,
		const double *	F1,
		const Mesh &	m
	)

Project vector F1 to the boundary of the mesh.

Parameters:

	F	- (output) the value of F1 on boundary points
	m	- the mesh
	F1	- mesh vector

Definition at line 446 of file phelm.cpp.

void phelm::proj_bnd	(	double *	F,
		const Mesh &	m,
		f_xy_t	f
	)

Project function f(x,y) to the boundary of the mesh.

Parameters:

	F	- (output) the value of f(x,y) on boundary points
	m	- the mesh
	f	- function f(x, y)

Examples:

test_barvortex.cpp, test_chafe.cpp, test_laplace.cpp, test_schafe.cpp, test_slaplace.cpp, and test_system_laplace.cpp.

Definition at line 437 of file phelm.cpp.

void phelm::set_bnd	(	double *	F,
		const double *	bnd,
		const Mesh &	m
	)

Set the boundary value of vector F.

Parameters:

	F	- (input/output) mesh vector
	bnd	- boundary value
	m	- mesh

Definition at line 382 of file phelm.cpp.

void phelm::u2p	(	double *	p,
		const double *	u,
		const Mesh &	m
	)

Remove boundary conditions from u.

Parameters:

	p	- (output) the value of u on the inner mesh points
	u	- mesh function
	m	- mesh

Examples:

test_barvortex.cpp.

Definition at line 373 of file phelm.cpp.