oomph::SarahBL Namespace Reference

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Functions
double	Diss_sarah (double rho, double zeta, double t)
double	Kin_energy_sarah (double t)
double	P_sarah (double rho, double zeta, double t)
double	Total_Diss_lead_sarah (double t)
double	Total_Diss_sarah (double t)
double	U_sarah (double rho, double zeta, double t)
double	V_sarah (double rho, double zeta, double t)
double	X_sarah (double rho, double zeta, double t)
double	Y_sarah (double rho, double zeta, double t)
void	buckled_ring_residual (const Vector< double > &params, const Vector< double > &unknowns, Vector< double > &residuals)
	Residual function for buckled ring. More...
void	exact_soln (const double &time, const Vector< double > &x, Vector< double > &soln)
	Exact solution: x,y,u,v,p. More...
void	full_exact_soln (const double &time, const Vector< double > &x, Vector< double > &soln)
	Full exact solution: x,y,u,v,p,du/dt,dv/dt,diss. More...

Variables
double	epsilon
double	alpha
double	A
double	Omega
double	N

Detailed Description

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Sarah's boundary layer solution for flow in oscillating ring

Function Documentation

buckled_ring_residual()

void oomph::SarahBL::buckled_ring_residual	(	const Vector< double > &	params,
		const Vector< double > &	unknowns,
		Vector< double > &	residuals
	)

Residual function for buckled ring.

Definition at line 395 of file osc_ring_sarah_asymptotics.h.

References X_sarah(), and Y_sarah().

Referenced by exact_soln(), and full_exact_soln().

Diss_sarah()

double oomph::SarahBL::Diss_sarah	(	double	rho,
		double	zeta,
		double	t
	)

Definition at line 47 of file osc_ring_sarah_asymptotics.h.

References A, alpha, epsilon, N, and Omega.

Referenced by full_exact_soln().

exact_soln()

void oomph::SarahBL::exact_soln	(	const double &	time,
		const Vector< double > &	x,
		Vector< double > &	soln
	)

Exact solution: x,y,u,v,p.

Definition at line 418 of file osc_ring_sarah_asymptotics.h.

References alpha, buckled_ring_residual(), P_sarah(), U_sarah(), V_sarah(), X_sarah(), and Y_sarah().

Referenced by OscRingNStProblem< ELEMENT >::doc_solution().

full_exact_soln()

void oomph::SarahBL::full_exact_soln	(	const double &	time,
		const Vector< double > &	x,
		Vector< double > &	soln
	)

Full exact solution: x,y,u,v,p,du/dt,dv/dt,diss.

Definition at line 480 of file osc_ring_sarah_asymptotics.h.

References alpha, buckled_ring_residual(), Diss_sarah(), P_sarah(), U_sarah(), V_sarah(), X_sarah(), and Y_sarah().

Referenced by OscRingNStProblem< ELEMENT >::doc_solution(), and main().

Kin_energy_sarah()

double oomph::SarahBL::Kin_energy_sarah

(

double

t

)

Definition at line 90 of file osc_ring_sarah_asymptotics.h.

References A, alpha, epsilon, N, and Omega.

Referenced by OscRingNStProblem< ELEMENT >::doc_solution().

P_sarah()

double oomph::SarahBL::P_sarah	(	double	rho,
		double	zeta,
		double	t
	)

Definition at line 130 of file osc_ring_sarah_asymptotics.h.

References A, alpha, epsilon, N, and Omega.

Referenced by exact_soln(), and full_exact_soln().

Total_Diss_lead_sarah()

double oomph::SarahBL::Total_Diss_lead_sarah

(

double

t

)

Definition at line 153 of file osc_ring_sarah_asymptotics.h.

References A, alpha, epsilon, and Omega.

Total_Diss_sarah()

double oomph::SarahBL::Total_Diss_sarah

(

double

t

)

Definition at line 181 of file osc_ring_sarah_asymptotics.h.

References A, alpha, epsilon, N, and Omega.

Referenced by OscRingNStProblem< ELEMENT >::doc_solution().

U_sarah()

double oomph::SarahBL::U_sarah	(	double	rho,
		double	zeta,
		double	t
	)

Definition at line 214 of file osc_ring_sarah_asymptotics.h.

References A, alpha, epsilon, N, and Omega.

Referenced by exact_soln(), and full_exact_soln().

V_sarah()

double oomph::SarahBL::V_sarah	(	double	rho,
		double	zeta,
		double	t
	)

Definition at line 283 of file osc_ring_sarah_asymptotics.h.

References A, alpha, epsilon, N, and Omega.

Referenced by exact_soln(), and full_exact_soln().

X_sarah()

double oomph::SarahBL::X_sarah	(	double	rho,
		double	zeta,
		double	t
	)

Definition at line 352 of file osc_ring_sarah_asymptotics.h.

References A, epsilon, N, and Omega.

Referenced by buckled_ring_residual(), exact_soln(), and full_exact_soln().

Y_sarah()

double oomph::SarahBL::Y_sarah	(	double	rho,
		double	zeta,
		double	t
	)

Definition at line 373 of file osc_ring_sarah_asymptotics.h.

References A, epsilon, N, and Omega.

Referenced by buckled_ring_residual(), exact_soln(), and full_exact_soln().

Variable Documentation

A

double oomph::SarahBL::A

Definition at line 43 of file osc_ring_sarah_asymptotics.h.

Referenced by Diss_sarah(), Kin_energy_sarah(), OscRingNStProblem< ELEMENT >::OscRingNStProblem(), P_sarah(), Total_Diss_lead_sarah(), Total_Diss_sarah(), U_sarah(), V_sarah(), X_sarah(), and Y_sarah().

alpha

double oomph::SarahBL::alpha

Definition at line 43 of file osc_ring_sarah_asymptotics.h.

Referenced by Diss_sarah(), exact_soln(), full_exact_soln(), Kin_energy_sarah(), OscRingNStProblem< ELEMENT >::OscRingNStProblem(), P_sarah(), Total_Diss_lead_sarah(), Total_Diss_sarah(), U_sarah(), and V_sarah().

epsilon

double oomph::SarahBL::epsilon

Definition at line 43 of file osc_ring_sarah_asymptotics.h.

Referenced by Diss_sarah(), Kin_energy_sarah(), OscRingNStProblem< ELEMENT >::OscRingNStProblem(), P_sarah(), Total_Diss_lead_sarah(), Total_Diss_sarah(), U_sarah(), V_sarah(), X_sarah(), and Y_sarah().

N

double oomph::SarahBL::N

Definition at line 43 of file osc_ring_sarah_asymptotics.h.

Referenced by Diss_sarah(), FSIRingProblem::FSIRingProblem(), Kin_energy_sarah(), OscRingNStProblem< ELEMENT >::OscRingNStProblem(), P_sarah(), Global_Physical_Variables::pcos_load(), Total_Diss_sarah(), U_sarah(), V_sarah(), X_sarah(), and Y_sarah().

Omega

double oomph::SarahBL::Omega

Definition at line 43 of file osc_ring_sarah_asymptotics.h.

Referenced by Diss_sarah(), Kin_energy_sarah(), OscRingNStProblem< ELEMENT >::OscRingNStProblem(), P_sarah(), Total_Diss_lead_sarah(), Total_Diss_sarah(), U_sarah(), V_sarah(), X_sarah(), and Y_sarah().