Functions::StokesLSingularity Class Reference

#include <deal.II/base/flow_function.h>

Inheritance diagram for Functions::StokesLSingularity:

Public Member Functions
	StokesLSingularity ()
	Constructor setting up some data.
Public Member Functions inherited from Functions::FlowFunction< 2 >
	FlowFunction ()
virtual	~FlowFunction ()
void	pressure_adjustment (double p)
virtual void	vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< double > > &values) const=0
virtual void	vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim > > > &gradients) const=0
virtual void	vector_laplacians (const std::vector< Point< dim > > &points, std::vector< std::vector< double > > &values) const=0
virtual void	vector_laplacian_list (const std::vector< Point< dim > > &points, std::vector< Vector< double > > &values) const
Public Member Functions inherited from Function< dim >
	Function (const unsigned int n_components=1, const double initial_time=0.0)
virtual	~Function ()=0
Function &	operator= (const Function &f)
virtual void	value_list (const std::vector< Point< dim > > &points, std::vector< double > &values, const unsigned int component=0) const
virtual Tensor< 1, dim, double >	gradient (const Point< dim > &p, const unsigned int component=0) const
virtual void	vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, double > > &gradients) const
virtual void	gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim, double > > &gradients, const unsigned int component=0) const
virtual void	vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, double > > > &gradients) const
virtual void	vector_gradient_list (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, double > > > &gradients) const
virtual double	laplacian (const Point< dim > &p, const unsigned int component=0) const
virtual void	vector_laplacian (const Point< dim > &p, Vector< double > &values) const
virtual void	laplacian_list (const std::vector< Point< dim > > &points, std::vector< double > &values, const unsigned int component=0) const
virtual SymmetricTensor< 2, dim, double >	hessian (const Point< dim > &p, const unsigned int component=0) const
virtual void	vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, double > > &values) const
virtual void	hessian_list (const std::vector< Point< dim > > &points, std::vector< SymmetricTensor< 2, dim, double > > &values, const unsigned int component=0) const
virtual void	vector_hessian_list (const std::vector< Point< dim > > &points, std::vector< std::vector< SymmetricTensor< 2, dim, double > > > &values) const
std::size_t	memory_consumption () const
Public Member Functions inherited from FunctionTime< Number >
	FunctionTime (const Number initial_time=Number(0.0))
virtual	~FunctionTime ()
Number	get_time () const
virtual void	set_time (const Number new_time)
virtual void	advance_time (const Number delta_t)
Public Member Functions inherited from Subscriptor
	Subscriptor ()
	Subscriptor (const Subscriptor &)
	Subscriptor (Subscriptor &&)
virtual	~Subscriptor ()
Subscriptor &	operator= (const Subscriptor &)
Subscriptor &	operator= (Subscriptor &&)
void	subscribe (const char *identifier=0) const
void	unsubscribe (const char *identifier=0) const
unsigned int	n_subscriptions () const
void	list_subscribers () const
template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

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 = 0.54448373678246
	The exponent of the radius.

Additional Inherited Members
Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, char *arg2, std::string &arg3)
static ::ExceptionBase &	ExcNoSubscriber (char *arg1, char *arg2)
Public Attributes inherited from Function< dim >
const unsigned int	n_components
Static Public Attributes inherited from Function< dim >
static const unsigned int	dimension
Protected Attributes inherited from Functions::FlowFunction< 2 >
double	mean_pressure

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 215 of file flow_function.h.

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

• deal.II/base/flow_function.h
• source/base/flow_function.cc