Functions::StokesLSingularity Class Reference
[Functions]

Inheritance diagram for Functions::StokesLSingularity:

[legend]

List of all members.

Public Member Functions
	StokesLSingularity ()
	Constructor setting upsome data.
virtual void	vector_values (const std::vector< Point< 2 > > &points, std::vector< std::vector< double > > &values) const
virtual void	vector_gradients (const std::vector< Point< 2 > > &points, std::vector< std::vector< Tensor< 1, 2 > > > &gradients) const
virtual void	vector_laplacians (const std::vector< Point< 2 > > &points, std::vector< std::vector< double > > &values) const
Private Member Functions
double	Psi (double phi) const
	The auxiliary function Psi.
double	Psi_1 (double phi) const
	The derivative of Psi().
double	Psi_2 (double phi) const
	The 2nd derivative of Psi().
double	Psi_3 (double phi) const
	The 3rd derivative of Psi().
double	Psi_4 (double phi) const
	The 4th derivative of Psi().
Private Attributes
const double	omega
	The angle of the reentrant corner.
const double	coslo
	Cosine of lambda times omega.
const double	lp
	Auxiliary variable 1+lambda.
const double	lm
	Auxiliary variable 1-lambda.
Static Private Attributes
static const double	lambda
	The exponent of the radius.

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Detailed Description

The solution to Stokes' equations on an L-shaped domain.

Taken from Houston, Schötzau, Wihler, proceeding ENUMATH 2003.

Author:

Guido Kanschat, 2007

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Constructor & Destructor Documentation

Functions::StokesLSingularity::StokesLSingularity

(

)

Constructor setting upsome data.

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Member Function Documentation

virtual void Functions::StokesLSingularity::vector_values	(	const std::vector< Point< 2 > > &	points,
		std::vector< std::vector< double > > &	values
	)			const [virtual]

virtual void Functions::StokesLSingularity::vector_gradients	(	const std::vector< Point< 2 > > &	points,
		std::vector< std::vector< Tensor< 1, 2 > > > &	gradients
	)			const [virtual]

virtual void Functions::StokesLSingularity::vector_laplacians	(	const std::vector< Point< 2 > > &	points,
		std::vector< std::vector< double > > &	values
	)			const [virtual]

double Functions::StokesLSingularity::Psi

(

double

phi

)

const [private]

The auxiliary function Psi.

double Functions::StokesLSingularity::Psi_1

(

double

phi

)

const [private]

The derivative of Psi().

double Functions::StokesLSingularity::Psi_2

(

double

phi

)

const [private]

The 2nd derivative of Psi().

double Functions::StokesLSingularity::Psi_3

(

double

phi

)

const [private]

The 3rd derivative of Psi().

double Functions::StokesLSingularity::Psi_4

(

double

phi

)

const [private]

The 4th derivative of Psi().

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Member Data Documentation

const double Functions::StokesLSingularity::omega [private]

The angle of the reentrant corner.

const double Functions::StokesLSingularity::lambda [static, private]

The exponent of the radius.

const double Functions::StokesLSingularity::coslo [private]

Cosine of lambda times omega.

const double Functions::StokesLSingularity::lp [private]

Auxiliary variable 1+lambda.

const double Functions::StokesLSingularity::lm [private]

Auxiliary variable 1-lambda.

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The documentation for this class was generated from the following file:

• base/include/base/flow_function.h