Public Member Functions | Private Member Functions | Private Attributes | Static Private Attributes

Functions::StokesLSingularity Class Reference
[Functions]

Inheritance diagram for Functions::StokesLSingularity:
Inheritance graph
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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.

Detailed Description

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

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

Author:
Guido Kanschat, 2007

Definition at line 239 of file flow_function.h.


Constructor & Destructor Documentation

Functions::StokesLSingularity::StokesLSingularity (  )

Constructor setting upsome data.


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()


Member Data Documentation

The angle of the reentrant corner.

Definition at line 263 of file flow_function.h.

The exponent of the radius.

Definition at line 265 of file flow_function.h.

Cosine of lambda times omega.

Definition at line 267 of file flow_function.h.

Auxiliary variable 1+lambda.

Definition at line 269 of file flow_function.h.

Auxiliary variable 1-lambda.

Definition at line 271 of file flow_function.h.


The documentation for this class was generated from the following file:
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deal.II documentation generated on Fri Feb 3 2012 06:04:13 by doxygen 1.7.2