TanhSolnForLinearWave Namespace Reference

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

Functions
double	exact_u (const double &time, const Vector< double > &x)
	Exact solution.
double	exact_dudt (const double &time, const Vector< double > &x)
	1st time-deriv of exact solution
double	exact_d2udt2 (const double &time, const Vector< double > &x)
	2nd time-deriv of exact solution
void	get_exact_u (const double &time, const Vector< double > &x, Vector< double > &u)
	Exact solution as a vector.
void	get_source (const double &time, const Vector< double > &x, double &source)
	Source function to make it an exact solution.
void	get_exact_gradient (const double &time, const Vector< double > &x, Vector< double > &dudx)
	Gradient of exact solution.
void	prescribed_flux_on_fixed_y_boundary (const double &time, const Vector< double > &x, double &flux)
	Prescribed flux on a fixed y max boundary.

Variables
double	Alpha
	Parameter for steepness of step.
double	Phi
	Orientation of step wave.

Detailed Description

Namespace for exact solution for LinearWave equation with sharp step.

Namespace for travelling wave solution for LinearWave equation with sharp step.

Function Documentation

exact_d2udt2()

double TanhSolnForLinearWave::exact_d2udt2	(	const double &	time,
		const Vector< double > &	x
	)

2nd time-deriv of exact solution

Definition at line 73 of file two_d_linear_wave.cc.

References Alpha, and Phi.

Referenced by LinearWaveProblem< ELEMENT, TIMESTEPPER >::actions_before_implicit_timestep(), get_exact_u(), and LinearWaveProblem< ELEMENT, TIMESTEPPER >::set_initial_condition().

exact_dudt()

double TanhSolnForLinearWave::exact_dudt	(	const double &	time,
		const Vector< double > &	x
	)

1st time-deriv of exact solution

Definition at line 65 of file two_d_linear_wave.cc.

References Alpha, and Phi.

Referenced by LinearWaveProblem< ELEMENT, TIMESTEPPER >::actions_before_implicit_timestep(), get_exact_u(), and LinearWaveProblem< ELEMENT, TIMESTEPPER >::set_initial_condition().

exact_u()

double TanhSolnForLinearWave::exact_u	(	const double &	time,
		const Vector< double > &	x
	)

Exact solution.

Definition at line 58 of file two_d_linear_wave.cc.

References Alpha, and Phi.

Referenced by LinearWaveProblem< ELEMENT, TIMESTEPPER >::actions_before_implicit_timestep(), get_exact_u(), and LinearWaveProblem< ELEMENT, TIMESTEPPER >::set_initial_condition().

get_exact_gradient()

void TanhSolnForLinearWave::get_exact_gradient	(	const double &	time,
		const Vector< double > &	x,
		Vector< double > &	dudx
	)

Gradient of exact solution.

Definition at line 96 of file two_d_linear_wave_flux.cc.

References Alpha, and Phi.

Referenced by prescribed_flux_on_fixed_y_boundary().

get_exact_u()

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

Exact solution as a vector.

Definition at line 82 of file two_d_linear_wave.cc.

References exact_d2udt2(), exact_dudt(), and exact_u().

Referenced by LinearWaveProblem< ELEMENT, TIMESTEPPER >::doc_solution().

get_source()

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

Source function to make it an exact solution.

Definition at line 91 of file two_d_linear_wave.cc.

Referenced by main().

prescribed_flux_on_fixed_y_boundary()

void TanhSolnForLinearWave::prescribed_flux_on_fixed_y_boundary	(	const double &	time,
		const Vector< double > &	x,
		double &	flux
	)

Prescribed flux on a fixed y max boundary.

Definition at line 108 of file two_d_linear_wave_flux.cc.

References get_exact_gradient().

Referenced by LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem().

Variable Documentation

Alpha

double TanhSolnForLinearWave::Alpha

Parameter for steepness of step.

Definition at line 52 of file two_d_linear_wave.cc.

Referenced by exact_d2udt2(), exact_dudt(), exact_u(), get_exact_gradient(), LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem(), and LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem().

Phi

double TanhSolnForLinearWave::Phi

Orientation of step wave.

Definition at line 55 of file two_d_linear_wave.cc.

Referenced by exact_d2udt2(), exact_dudt(), exact_u(), get_exact_gradient(), LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem(), and LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem().