#include <pml_mapping_functions.h>

Inheritance diagram for oomph::C1BermudezPMLMapping:

Public Member Functions
	C1BermudezPMLMapping ()
	Default constructor (empty) More...

std::complex< double >	dtransformed_nu_dnu (const double &nu, const double &delta, const double &k, const double &alpha_shift=0.0)
	Overwrite the pure Pml mapping coefficient function to return the coeffcients proposed by Bermudez et al. More...

std::complex< double >	transformed_nu (const double &nu, const double &delta, const double &k, const double &alpha_shift=0.0)

Public Member Functions inherited from oomph::UniaxialPMLMapping
	UniaxialPMLMapping ()
	Default constructor (empty) More...

Detailed Description

A mapping function proposed by Bermudez et al, similar to the one above but is continuous across the inner Pml boundary appears to be the best for TimeHarmonicLinearElasticity and so this will be the default mapping

Definition at line 113 of file pml_mapping_functions.h.

Constructor & Destructor Documentation

◆ C1BermudezPMLMapping()

oomph::C1BermudezPMLMapping::C1BermudezPMLMapping ( )

inline

Default constructor (empty)

Definition at line 119 of file pml_mapping_functions.h.

Member Function Documentation

◆ dtransformed_nu_dnu()

std::complex<double> oomph::C1BermudezPMLMapping::dtransformed_nu_dnu	(	const double &	nu,
		const double &	delta,
		const double &	k,
		const double &	alpha_shift = `0.0`
	)

inlinevirtual

Overwrite the pure Pml mapping coefficient function to return the coeffcients proposed by Bermudez et al.

return $\gamma=1 + (i/k)(1/|outer_boundary - x|-1/|pml width|)$

Implements oomph::UniaxialPMLMapping.

Definition at line 123 of file pml_mapping_functions.h.

References oomph::MathematicalConstants::I().

◆ transformed_nu()

std::complex<double> oomph::C1BermudezPMLMapping::transformed_nu	(	const double &	nu,
		const double &	delta,
		const double &	k,
		const double &	alpha_shift = `0.0`
	)