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

Inheritance diagram for Functions::Kovasznay:

Public Member Functions
	Kovasznay (const double Re, bool Stokes=false)

virtual	~Kovasznay () override=default

virtual void	vector_values (const std::vector< Point< 2 >> &points, std::vector< std::vector< double >> &values) const override

virtual void	vector_gradients (const std::vector< Point< 2 >> &points, std::vector< std::vector< Tensor< 1, 2 >>> &gradients) const override

virtual void	vector_laplacians (const std::vector< Point< 2 >> &points, std::vector< std::vector< double >> &values) const override

double	lambda () const
	The value of lambda. More...

Public Member Functions inherited from Functions::FlowFunction< 2 >
	FlowFunction ()

virtual	~FlowFunction () override=default

void	pressure_adjustment (double p)

virtual void	vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) const override=0

virtual void	vector_gradients (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim >>> &gradients) const override=0

virtual void	vector_laplacians (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) const=0

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

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

std::size_t	memory_consumption () const

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

	Function (const Function &f)=default

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< numbers::NumberTraits< double >::real_type >
	FunctionTime (const numbers::NumberTraits< double >::real_type initial_time=numbers::NumberTraits< double >::real_type(0.0))

virtual	~FunctionTime ()=default

numbers::NumberTraits< double >::real_type	get_time () const

virtual void	set_time (const numbers::NumberTraits< double >::real_type new_time)

virtual void	advance_time (const numbers::NumberTraits< double >::real_type 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
const double	Reynolds

double	lbda

double	p_average

const bool	stokes

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< numbers::NumberTraits< double >::real_type >
using	time_type = numbers::NumberTraits< double >::real_type

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< 2 >
double	mean_pressure

Detailed Description

Flow solution in 2D by Kovasznay (1947).

This function is valid on the half plane right of the line x=1/2.

Author: Guido Kanschat, 2007

Definition at line 301 of file flow_function.h.

Constructor & Destructor Documentation

◆ Kovasznay()

Functions::Kovasznay::Kovasznay	(	const double	Re,
		bool	Stokes = `false`
	)

Construct an object for the give Reynolds number Re. If the parameter Stokes is true, the right hand side of the momentum equation returned by vector_laplacians() contains the nonlinearity, such that the Kovasznay solution can be obtained as the solution to a Stokes problem.

Definition at line 666 of file flow_function.cc.

◆ ~Kovasznay()

virtual Functions::Kovasznay::~Kovasznay ( )

overridevirtualdefault

Member Function Documentation

◆ vector_values()

void Functions::Kovasznay::vector_values	(	const std::vector< Point< 2 >> &	points,
		std::vector< std::vector< double >> &	values
	)		const

overridevirtual

Definition at line 683 of file flow_function.cc.

◆ vector_gradients()

void Functions::Kovasznay::vector_gradients	(	const std::vector< Point< 2 >> &	points,
		std::vector< std::vector< Tensor< 1, 2 >>> &	gradients
	)		const

overridevirtual

Definition at line 707 of file flow_function.cc.

◆ vector_laplacians()

void Functions::Kovasznay::vector_laplacians	(	const std::vector< Point< 2 >> &	points,
		std::vector< std::vector< double >> &	values
	)		const

overridevirtual

Definition at line 740 of file flow_function.cc.

◆ lambda()

double Functions::Kovasznay::lambda ( ) const

The value of lambda.

Definition at line 777 of file flow_function.cc.

Member Data Documentation

◆ Reynolds

const double Functions::Kovasznay::Reynolds

private

Definition at line 331 of file flow_function.h.

◆ lbda

double Functions::Kovasznay::lbda

private

Definition at line 332 of file flow_function.h.

◆ p_average

double Functions::Kovasznay::p_average

private

Definition at line 333 of file flow_function.h.

◆ stokes

const bool Functions::Kovasznay::stokes

private

Definition at line 334 of file flow_function.h.

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

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

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Kovasznay()

◆ ~Kovasznay()

Member Function Documentation

◆ vector_values()

◆ vector_gradients()

◆ vector_laplacians()

◆ lambda()

Member Data Documentation

◆ Reynolds

◆ lbda

◆ p_average

◆ stokes