TanhSolnForPoisson Namespace Reference

Namespace for exact solution for Poisson equation with sharp step. More...

Functions
void	get_exact_u (const Vector< double > &x, Vector< double > &u)
void	get_exact_u (const Vector< double > &x, double &u)
	Exact solution as a scalar. More...
void	get_source (const Vector< double > &x, double &source)
	Source function to make it an exact solution. More...

Variables
double	Alpha =1
	Parameter for steepness of step. More...
double	N_x =-1.0
	Orientation (non-normalised x-component of unit vector in direction of step plane) More...
double	N_y =-1.0
	Orientation (non-normalised y-component of unit vector in direction of step plane) More...
double	N_z =1.0
	Orientation (non-normalised z-component of unit vector in direction of step plane) More...
double	X_0 =0.0
	Orientation (x-coordinate of step plane) More...
double	Y_0 =0.0
	Orientation (y-coordinate of step plane) More...
double	Z_0 =0.0
	Orientation (z-coordinate of step plane) More...

Detailed Description

Namespace for exact solution for Poisson equation with sharp step.

Function Documentation

get_exact_u() [1/2]

void TanhSolnForPoisson::get_exact_u	(	const Vector< double > &	x,
		double &	u
	)

Exact solution as a scalar.

Definition at line 82 of file eighth_sphere_poisson.cc.

References Alpha, N_x, N_y, N_z, X_0, Y_0, and Z_0.

get_exact_u() [2/2]

void TanhSolnForPoisson::get_exact_u	(	const Vector< double > &	x,
		Vector< double > &	u
	)

Definition at line 74 of file eighth_sphere_poisson.cc.

References Alpha, N_x, N_y, N_z, X_0, Y_0, and Z_0.

Referenced by EighthSpherePoissonProblem< ELEMENT >::actions_before_newton_solve(), and EighthSpherePoissonProblem< ELEMENT >::doc_solution().

get_source()

void TanhSolnForPoisson::get_source	(	const Vector< double > &	x,
		double &	source
	)

Source function to make it an exact solution.

Definition at line 91 of file eighth_sphere_poisson.cc.

References Alpha, N_x, N_y, N_z, X_0, Y_0, and Z_0.

Referenced by main().

Variable Documentation

Alpha

double TanhSolnForPoisson::Alpha =1

Parameter for steepness of step.

Definition at line 48 of file eighth_sphere_poisson.cc.

Referenced by EighthSpherePoissonProblem< ELEMENT >::EighthSpherePoissonProblem(), get_exact_u(), and get_source().

N_x

double TanhSolnForPoisson::N_x =-1.0

Orientation (non-normalised x-component of unit vector in direction of step plane)

Definition at line 52 of file eighth_sphere_poisson.cc.

Referenced by get_exact_u(), and get_source().

N_y

double TanhSolnForPoisson::N_y =-1.0

Orientation (non-normalised y-component of unit vector in direction of step plane)

Definition at line 56 of file eighth_sphere_poisson.cc.

Referenced by get_exact_u(), and get_source().

N_z

double TanhSolnForPoisson::N_z =1.0

Orientation (non-normalised z-component of unit vector in direction of step plane)

Definition at line 60 of file eighth_sphere_poisson.cc.

Referenced by get_exact_u(), and get_source().

X_0

double TanhSolnForPoisson::X_0 =0.0

Orientation (x-coordinate of step plane)

Definition at line 64 of file eighth_sphere_poisson.cc.

Referenced by get_exact_u(), and get_source().

Y_0

double TanhSolnForPoisson::Y_0 =0.0

Orientation (y-coordinate of step plane)

Definition at line 67 of file eighth_sphere_poisson.cc.

Referenced by get_exact_u(), and get_source().

Z_0

double TanhSolnForPoisson::Z_0 =0.0

Orientation (z-coordinate of step plane)

Definition at line 70 of file eighth_sphere_poisson.cc.

Referenced by get_exact_u(), and get_source().