#include <pml_formula.hh>

Inheritance diagram for concepts::FormulaPMLPowerSigmaB2D< F >:

Public Types
typedef F	value_type

typedef Realtype< F >::type	G

Public Member Functions
	FormulaPMLPowerSigmaB2D (const Real offset, const int power=2, const F sigma0=5.0, const Real2d &center=Real2d(0, 0))

virtual FormulaPMLPowerSigmaB2D *	clone () const
	Virtual copy constructor.

virtual F	operator() (const Real p, const Real t=0.0) const

bool	inPMLregion (const concepts::Real2d &p, const Real t=0.0)

virtual F	operator() (const concepts::Real2d &p, const Real t=0.0) const

virtual F	operator() (const concepts::Real3d &p, const Real t=0.0) const

	FormulaPMLPowerSigmaB2D (const Real offset, const int power=2, const F sigma0=5.0, const Real2d &center=Real2d(0, 0))

virtual FormulaPMLPowerSigmaB2D *	clone () const
	Virtual copy constructor.

virtual F	operator() (const Real p, const Real t=0.0) const

bool	inPMLregion (const Real2d &p, const Real t=0.0) const

virtual F	operator() (const Real2d &p, const Real t=0.0) const

virtual F	operator() (const Real3d &p, const Real t=0.0) const

virtual F	operator() (const ElementWithCell< G > &elm, const Real p, const Real t=0.0) const

virtual F	operator() (const ElementWithCell< G > &elm, const Real2d &p, const Real t=0.0) const

virtual F	operator() (const ElementWithCell< G > &elm, const Real3d &p, const Real t=0.0) const

virtual F	operator() (const ElementWithCell< concepts::Realtype< F >::type > &elm, const Real p, const Real t=0.0) const=0

virtual F	operator() (const ElementWithCell< concepts::Realtype< F >::type > &elm, const Real2d &p, const Real t=0.0) const=0

virtual F	operator() (const ElementWithCell< concepts::Realtype< F >::type > &elm, const Real3d &p, const Real t=0.0) const=0

virtual const F &	dflt_value () const
	Gives default value.

virtual F &	dflt_value ()
	Gives default value.


virtual F	operator() (const Connector &cntr, const Real p, const Real t=0.0) const

virtual F	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const

virtual F	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const

Static Public Member Functions
template<typename Real >
static Real	powi (Real x, int power)

template<typename Real >
static Real	powi (Real x, int powercoeff)

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Detailed Description

template<typename F = Real>
class concepts::FormulaPMLPowerSigmaB2D< F >

Class for the function $\overline{\sigma}(r)$ for radial PML, see INRIA report of Collino & Monk.

The function takes the form

$\overline{\sigma}(r) = \begin{cases} \sigma_0(r)\,(r - r_0)^{\alpha+1}/r/(\alpha+1), & r > r_0,\\ 0, & r <= r_0 \end{cases}$

where is the distance of PML interface to center of circular domain, $\alpha$ and $\sigma_0$ are called PML exponent and PML strength. The radius is the distance from the midpoint of the circular domain.

Note, that $\sigma(r) = (r\overline{\sigma}(r))'$ .

Definition at line 614 of file pml_formula.h.

Member Typedef Documentation

◆ G

template<typename F >

typedef Realtype<F>::type concepts::Formula< F >::G

inherited

Definition at line 37 of file formula.hh.

◆ value_type

template<typename F >

typedef F concepts::Formula< F >::value_type

inherited

Definition at line 36 of file formula.hh.

Constructor & Destructor Documentation

◆ FormulaPMLPowerSigmaB2D() [1/2]

template<typename F = Real>

concepts::FormulaPMLPowerSigmaB2D< F >::FormulaPMLPowerSigmaB2D	(	const Real	offset,
		const int	power = `2`,
		const F	sigma0 = `5.0`,
		const Real2d &	center = `Real2d(0,0)`
	)

inline

Definition at line 616 of file pml_formula.h.

◆ FormulaPMLPowerSigmaB2D() [2/2]

template<typename F = Real>

concepts::FormulaPMLPowerSigmaB2D< F >::FormulaPMLPowerSigmaB2D	(	const Real	offset,
		const int	power = `2`,
		const F	sigma0 = `5.0`,
		const Real2d &	center = `Real2d(0,0)`
	)

inline

Constructor

Parameters

offset	distance of PML interface to center of circular domain
power	PML exponent
sigma0	PML strength
center	center of the circular domain

Definition at line 213 of file pml_formula.hh.

Member Function Documentation

◆ clone() [1/2]

template<typename F = Real>

virtual FormulaPMLPowerSigmaB2D * concepts::FormulaPMLPowerSigmaB2D< F >::clone ( ) const

inlinevirtual

Virtual copy constructor.

Implements concepts::Formula< F >.

Definition at line 620 of file pml_formula.h.

◆ clone() [2/2]

template<typename F = Real>

virtual FormulaPMLPowerSigmaB2D * concepts::FormulaPMLPowerSigmaB2D< F >::clone ( ) const

inlinevirtual

Virtual copy constructor.

Implements concepts::Formula< F >.

Definition at line 218 of file pml_formula.hh.

◆ dflt_value() [1/2]

template<typename F >

virtual F & concepts::PiecewiseFormulaBase< F >::dflt_value ( )

inlinevirtualinherited

Gives default value.

Definition at line 83 of file piecewiseFormula.hh.

◆ dflt_value() [2/2]

template<typename F >

virtual const F & concepts::PiecewiseFormulaBase< F >::dflt_value ( ) const

inlinevirtualinherited

Gives default value.

Definition at line 81 of file piecewiseFormula.hh.

◆ info() [1/2]

template<typename F = Real>

virtual std::ostream & concepts::FormulaPMLPowerSigmaB2D< F >::info ( std::ostream & os ) const

inlineprotectedvirtual

Returns information in an output stream.

Reimplemented from concepts::PiecewiseFormulaBase< F >.

Definition at line 661 of file pml_formula.h.

◆ info() [2/2]

template<typename F = Real>

virtual std::ostream & concepts::FormulaPMLPowerSigmaB2D< F >::info ( std::ostream & os ) const

inlineprotectedvirtual

Returns information in an output stream.

Reimplemented from concepts::PiecewiseFormulaBase< F >.

Definition at line 258 of file pml_formula.hh.

◆ inPMLregion() [1/2]

template<typename F = Real>

bool concepts::FormulaPMLPowerSigmaB2D< F >::inPMLregion	(	const concepts::Real2d &	p,
		const Real	t = `0.0`
	)

inline

Definition at line 628 of file pml_formula.h.

◆ inPMLregion() [2/2]

template<typename F = Real>

bool concepts::FormulaPMLPowerSigmaB2D< F >::inPMLregion	(	const Real2d &	p,
		const Real	t = `0.0`
	)		const

inline

Definition at line 227 of file pml_formula.hh.

◆ operator()() [1/15]

template<typename F = Real>

virtual F concepts::FormulaPMLPowerSigmaB2D< F >::operator()	(	const concepts::Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Implements concepts::Formula< F >.

Definition at line 636 of file pml_formula.h.

◆ operator()() [2/15]

template<typename F = Real>

virtual F concepts::FormulaPMLPowerSigmaB2D< F >::operator()	(	const concepts::Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Implements concepts::Formula< F >.

Definition at line 644 of file pml_formula.h.

◆ operator()() [3/15]

template<typename F >

virtual F concepts::Formula< F >::operator()	(	const Connector &	cntr,
		const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Convenience implementation, that by default ignores its elm param.

Implements concepts::PiecewiseFormulaBase< F >.

Reimplemented in concepts::FormulaFromElementFormula< dim, F, G >.

Definition at line 53 of file formula.hh.

◆ operator()() [4/15]

template<typename F >

virtual F concepts::Formula< F >::operator()	(	const Connector &	cntr,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Implements concepts::PiecewiseFormulaBase< F >.

Definition at line 56 of file formula.hh.

◆ operator()() [5/15]

template<typename F >

virtual F concepts::Formula< F >::operator()	(	const Connector &	cntr,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Implements concepts::PiecewiseFormulaBase< F >.

Definition at line 59 of file formula.hh.

◆ operator()() [6/15]

virtual F concepts::ElementFormula< F, concepts::Realtype< F >::type >::operator()	(	const ElementWithCell< concepts::Realtype< F >::type > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

◆ operator()() [7/15]

virtual F concepts::ElementFormula< F, concepts::Realtype< F >::type >::operator()	(	const ElementWithCell< concepts::Realtype< F >::type > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

◆ operator()() [8/15]

virtual F concepts::ElementFormula< F, concepts::Realtype< F >::type >::operator()	(	const ElementWithCell< concepts::Realtype< F >::type > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

◆ operator()() [9/15]

template<typename F >

virtual F concepts::PiecewiseFormulaBase< F >::operator()	(	const ElementWithCell< G > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 52 of file piecewiseFormula.hh.

◆ operator()() [10/15]

template<typename F >

virtual F concepts::PiecewiseFormulaBase< F >::operator()	(	const ElementWithCell< G > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 57 of file piecewiseFormula.hh.

◆ operator()() [11/15]

template<typename F >

virtual F concepts::PiecewiseFormulaBase< F >::operator()	(	const ElementWithCell< G > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 63 of file piecewiseFormula.hh.

◆ operator()() [12/15]

template<typename F = Real>

virtual F concepts::FormulaPMLPowerSigmaB2D< F >::operator()	(	const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Application operator. Evaluates the formula.

Parameters

p	Point in space
t	Point in time

Implements concepts::Formula< F >.

Definition at line 624 of file pml_formula.h.

◆ operator()() [13/15]

template<typename F = Real>

virtual F concepts::FormulaPMLPowerSigmaB2D< F >::operator()	(	const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Application operator. Evaluates the formula.

Parameters

p	Point in space
t	Point in time

Implements concepts::Formula< F >.

Definition at line 222 of file pml_formula.hh.

◆ operator()() [14/15]

template<typename F = Real>

virtual F concepts::FormulaPMLPowerSigmaB2D< F >::operator()	(	const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Implements concepts::Formula< F >.

Definition at line 233 of file pml_formula.hh.

◆ operator()() [15/15]

template<typename F = Real>

virtual F concepts::FormulaPMLPowerSigmaB2D< F >::operator()	(	const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Implements concepts::Formula< F >.

Definition at line 241 of file pml_formula.hh.

◆ powi() [1/2]

template<typename F = Real>

template<typename Real >

static Real concepts::FormulaPMLPowerSigmaB2D< F >::powi	(	Real	x,
		int	power
	)

inlinestatic

Definition at line 649 of file pml_formula.h.

◆ powi() [2/2]

template<typename F = Real>

template<typename Real >

static Real concepts::FormulaPMLPowerSigmaB2D< F >::powi	(	Real	x,
		int	powercoeff
	)

inlinestatic

Definition at line 246 of file pml_formula.hh.

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

applications/pml_formula.h
waveprop/pml_formula.hh

Class documentation of Concepts

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ G

◆ value_type

Constructor & Destructor Documentation

◆ FormulaPMLPowerSigmaB2D() [1/2]

◆ FormulaPMLPowerSigmaB2D() [2/2]

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ dflt_value() [1/2]

◆ dflt_value() [2/2]

◆ info() [1/2]

◆ info() [2/2]

◆ inPMLregion() [1/2]

◆ inPMLregion() [2/2]

◆ operator()() [1/15]

◆ operator()() [2/15]

◆ operator()() [3/15]

◆ operator()() [4/15]

◆ operator()() [5/15]

◆ operator()() [6/15]

◆ operator()() [7/15]

◆ operator()() [8/15]

◆ operator()() [9/15]

◆ operator()() [10/15]

◆ operator()() [11/15]

◆ operator()() [12/15]

◆ operator()() [13/15]

◆ operator()() [14/15]

◆ operator()() [15/15]

◆ powi() [1/2]

◆ powi() [2/2]