Reference documentation for deal.II version 9.1.1
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Public Member Functions | Protected Attributes | List of all members
Functions::JumpFunction< dim > Class Template Reference

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

Inheritance diagram for Functions::JumpFunction< dim >:
[legend]

Public Member Functions

 JumpFunction (const Point< dim > &direction, const double steepness)
 
virtual double value (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void value_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const override
 
virtual Tensor< 1, dim > gradient (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim >> &gradients, const unsigned int component=0) const override
 
virtual double laplacian (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void laplacian_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) 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)
 
virtual ~Function () override=0
 
Functionoperator= (const Function &f)
 
virtual void vector_value (const Point< dim > &p, Vector< double > &values) const
 
virtual void vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const
 
virtual void vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) 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 void vector_laplacian (const Point< dim > &p, Vector< double > &values) const
 
virtual void vector_laplacian_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) 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 ()
 
Subscriptoroperator= (const Subscriptor &)
 
Subscriptoroperator= (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)
 

Protected Attributes

const Point< dim > direction
 
const double steepness
 
double angle
 
double sine
 
double cosine
 

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 ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBaseExcNoSubscriber (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
 

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

Definition at line 603 of file function_lib.h.

Constructor & Destructor Documentation

◆ JumpFunction()

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.

Definition at line 1793 of file function_lib.cc.

Member Function Documentation

◆ value()

template<int dim>
double Functions::JumpFunction< dim >::value ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtual

Function value at one point.

Reimplemented from Function< dim >.

Definition at line 1817 of file function_lib.cc.

◆ value_list()

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

Function values at multiple points.

Reimplemented from Function< dim >.

Definition at line 1827 of file function_lib.cc.

◆ gradient()

template<int dim>
Tensor< 1, dim > Functions::JumpFunction< dim >::gradient ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtual

Gradient at one point.

Reimplemented from Function< dim >.

Definition at line 1875 of file function_lib.cc.

◆ gradient_list()

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

Gradients at multiple points.

Definition at line 1889 of file function_lib.cc.

◆ laplacian()

template<int dim>
double Functions::JumpFunction< dim >::laplacian ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtual

Laplacian of the function at one point.

Reimplemented from Function< dim >.

Definition at line 1844 of file function_lib.cc.

◆ laplacian_list()

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

Laplacian of the function at multiple points.

Reimplemented from Function< dim >.

Definition at line 1854 of file function_lib.cc.

◆ memory_consumption()

template<int dim>
std::size_t Functions::JumpFunction< dim >::memory_consumption ( ) const

Return an estimate for the memory consumption, in bytes, of this object. This is not exact (but will usually be close) because calculating the memory usage of trees (e.g., std::map) is difficult.

Definition at line 1909 of file function_lib.cc.

Member Data Documentation

◆ direction

template<int dim>
const Point<dim> Functions::JumpFunction< dim >::direction
protected

Advection vector.

Definition at line 669 of file function_lib.h.

◆ steepness

template<int dim>
const double Functions::JumpFunction< dim >::steepness
protected

Steepness (maximal derivative) of the slope.

Definition at line 674 of file function_lib.h.

◆ angle

template<int dim>
double Functions::JumpFunction< dim >::angle
protected

Advection angle.

Definition at line 679 of file function_lib.h.

◆ sine

template<int dim>
double Functions::JumpFunction< dim >::sine
protected

Sine of angle.

Definition at line 684 of file function_lib.h.

◆ cosine

template<int dim>
double Functions::JumpFunction< dim >::cosine
protected

Cosine of angle.

Definition at line 689 of file function_lib.h.


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