#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 override

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

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

Public Member Functions inherited from Functions::FlowFunction< dim >
	FlowFunction ()

virtual	~FlowFunction () override=default

void	pressure_adjustment (double p)

virtual void	vector_value (const Point< dim > &points, Vector< double > &value) const override

virtual double	value (const Point< dim > &points, const unsigned int component) const override

virtual void	vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const override

virtual void	vector_laplacian_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const override

Public Member Functions inherited from Function< dim >
	Function (const unsigned int n_components=1, const time_type initial_time=0.0)

virtual	~Function () override=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 (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) 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
Public Types inherited from Function< dim >
using	time_type = typename FunctionTime< typename numbers::NumberTraits< double >::real_type >::time_type

Public Types inherited from FunctionTime< Number >
using	time_type = Number

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 195 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 291 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 300 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

overridevirtual

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 309 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

overridevirtual

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 358 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

overridevirtual

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 424 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

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ StokesCosine()

Member Function Documentation

◆ set_parameters()

◆ vector_values()

◆ vector_gradients()

◆ vector_laplacians()

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