Functions::JumpFunction< dim > Class Template Reference
[Functions]

Inheritance diagram for Functions::JumpFunction< dim >:

Public Member Functions
	JumpFunction (const Point< dim > &direction, const double steepness)
virtual double	value (const Point< dim > &p, const unsigned int component=0) const
virtual void	value_list (const std::vector< Point< dim > > &points, std::vector< double > &values, const unsigned int component=0) const
virtual Tensor< 1, dim >	gradient (const Point< dim > &p, const unsigned int component=0) const
virtual void	gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim > > &gradients, const unsigned int component=0) const
virtual double	laplacian (const Point< dim > &p, const unsigned int component=0) const
virtual void	laplacian_list (const std::vector< Point< dim > > &points, std::vector< double > &values, const unsigned int component=0) const
unsigned int	memory_consumption () const
Protected Attributes
const Point< dim >	direction
const double	steepness
double	angle
double	sine
double	cosine

Detailed Description

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

A jump in x-direction transported into some direction.

If the advection is parallel to the y-axis, the function is -atan(sx), where s is the steepness parameter provided in the constructor.

For different advection directions, this function will be turned in the parameter space.

Together with the function, its derivatives and Laplacian are defined.

Author:: : Guido Kanschat, 2000

Constructor & Destructor Documentation

template<int dim>

Functions::JumpFunction< dim >::JumpFunction	(	const Point< dim > &	direction,
		const double	steepness
	)

Constructor. Provide the advection direction here and the steepness of the slope.

Member Function Documentation

template<int dim>

virtual double Functions::JumpFunction< dim >::value	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)			const `[virtual]`

Function value at one point.

Reimplemented from Function< dim >.

template<int dim>

virtual void Functions::JumpFunction< dim >::value_list	(	const std::vector< Point< dim > > &	points,
		std::vector< double > &	values,
		const unsigned int	component = `0`
	)			const `[virtual]`

Function values at multiple points.

Reimplemented from Function< dim >.

template<int dim>

virtual Tensor<1,dim> Functions::JumpFunction< dim >::gradient	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)			const `[virtual]`

Gradient at one point.

Reimplemented from Function< dim >.

template<int dim>

virtual void Functions::JumpFunction< dim >::gradient_list	(	const std::vector< Point< dim > > &	points,
		std::vector< Tensor< 1, dim > > &	gradients,
		const unsigned int	component = `0`
	)			const `[virtual]`

Gradients at multiple points.

Reimplemented from Function< dim >.

template<int dim>

virtual double Functions::JumpFunction< dim >::laplacian	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)			const `[virtual]`

Laplacian of the function at one point.

Reimplemented from Function< dim >.

template<int dim>

virtual void Functions::JumpFunction< dim >::laplacian_list	(	const std::vector< Point< dim > > &	points,
		std::vector< double > &	values,
		const unsigned int	component = `0`
	)			const `[virtual]`

Laplacian of the function at multiple points.

Reimplemented from Function< dim >.

template<int dim>

unsigned int Functions::JumpFunction< dim >::memory_consumption ( ) const

Determine an estimate for the memory consumption (in bytes) of this object. Since sometimes the size of objects can not be determined exactly (for example: what is the memory consumption of an STL std::map type with a certain number of elements?), this is only an estimate. however often quite close to the true value.

Reimplemented from Function< dim >.