oomph::ContinuousBermudezPMLMapping Class Reference

#include <pml_mapping_functions.h>

Inheritance diagram for oomph::ContinuousBermudezPMLMapping:

Public Member Functions
	ContinuousBermudezPMLMapping ()
	Default constructor (empty) More...
std::complex< double >	gamma (const double &nu_i, const double &pml_width_i, const double &wavenumber_squared, const double &alpha_shift=0.0)
Public Member Functions inherited from oomph::PMLMapping
	PMLMapping ()
	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

Constructor & Destructor Documentation

ContinuousBermudezPMLMapping()

oomph::ContinuousBermudezPMLMapping::ContinuousBermudezPMLMapping ( )

inline

Default constructor (empty)

{};

Member Function Documentation

gamma()

std::complex<double> oomph::ContinuousBermudezPMLMapping::gamma ( const double &  nu_i, const double &  pml_width_i, const double &  wavenumber_squared, 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::PMLMapping.

    {
      return 1.0 + MathematicalConstants::I / sqrt(wavenumber_squared) *
                     (1.0 / std::fabs(pml_width_i - nu_i) -
                      1.0 / std::fabs(pml_width_i));
    }

References boost::multiprecision::fabs(), oomph::MathematicalConstants::I(), and sqrt().

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

• pml_mapping_functions.h