Functions::StokesCosine< dim > Class Template Reference

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

Inheritance diagram for Functions::StokesCosine< dim >:

Public Member Functions
	StokesCosine (const double viscosity=1., const double reaction=0.)
void	set_parameters (const double viscosity, const double reaction)
virtual void	vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< double > > &values) const
virtual void	vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim > > > &gradients) const
virtual void	vector_laplacians (const std::vector< Point< dim > > &points, std::vector< std::vector< double > > &values) const
Public Member Functions inherited from Functions::FlowFunction< dim >
	FlowFunction ()
virtual	~FlowFunction ()=default
void	pressure_adjustment (double p)
virtual void	vector_value (const Point< dim > &points, Vector< double > &value) const
virtual double	value (const Point< dim > &points, const unsigned int component) const
virtual void	vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< double > > &values) const
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 ()=default
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 &&) noexcept
virtual	~Subscriptor ()
Subscriptor &	operator= (const Subscriptor &)
Subscriptor &	operator= (Subscriptor &&) noexcept
void	subscribe (const char *identifier=nullptr) const
void	unsubscribe (const char *identifier=nullptr) const
unsigned int	n_subscriptions () const
void	list_subscribers () const
template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Attributes
double	viscosity
	The viscosity.
double	reaction
	The reaction parameter.

Additional Inherited Members
Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)
static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string 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< dim >
double	mean_pressure

Detailed Description

template<int dim>
class Functions::StokesCosine< dim >

Artificial divergence free function with homogeneous boundary conditions on the cube [-1,1]^dim.

The function in 2D is

\[ \left(\begin{array}{c}u\\v\\p\end{array}\right) \left(\begin{array}{c}\cos^2x \sin y\cos y\\-\sin x\cos x\cos^2y\\ \sin x\cos x\sin y\cos y\end{array}\right) \]

Author

Guido Kanschat, 2007

Definition at line 178 of file flow_function.h.

Constructor & Destructor Documentation

StokesCosine()

template<int dim>

Functions::StokesCosine< dim >::StokesCosine	(	const double	viscosity = 1.,
		const double	reaction = 0.
	)

Constructor setting the Reynolds number required for pressure computation and scaling of the right hand side.

Definition at line 277 of file flow_function.cc.

Member Function Documentation

set_parameters()

template<int dim>

void Functions::StokesCosine< dim >::set_parameters	(	const double	viscosity,
		const double	reaction
	)

Change the viscosity and the reaction parameter.

Definition at line 286 of file flow_function.cc.

vector_values()

template<int dim>

void Functions::StokesCosine< dim >::vector_values ( const std::vector< Point< dim > > &  points, std::vector< std::vector< double > > &  values  ) const

virtual

Values in a structure more suitable for vector valued functions. The outer vector is indexed by solution component, the inner by quadrature point.

Implements Functions::FlowFunction< dim >.

Definition at line 294 of file flow_function.cc.

vector_gradients()

template<int dim>

void Functions::StokesCosine< dim >::vector_gradients ( const std::vector< Point< dim > > &  points, std::vector< std::vector< Tensor< 1, dim > > > &  gradients  ) const

virtual

Gradients in a structure more suitable for vector valued functions. The outer vector is indexed by solution component, the inner by quadrature point.

Implements Functions::FlowFunction< dim >.

Definition at line 341 of file flow_function.cc.

vector_laplacians()

template<int dim>

void Functions::StokesCosine< dim >::vector_laplacians ( const std::vector< Point< dim > > &  points, std::vector< std::vector< double > > &  values  ) const

virtual

Force terms in a structure more suitable for vector valued functions. The outer vector is indexed by solution component, the inner by quadrature point.

Warning

This is not the true Laplacian, but the force term to be used as right hand side in Stokes' equations

Implements Functions::FlowFunction< dim >.

Definition at line 405 of file flow_function.cc.

---

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

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