oomph::BermudezPMLMapping Class Reference

#include <pml_mapping_functions.h>

Inheritance diagram for oomph::BermudezPMLMapping:

Public Member Functions
	BermudezPMLMapping ()
	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 propsed by Bermudez et al, appears to be the best for the Helmholtz equations and so this will be the default mapping (see definition of PmlHelmholtzEquations)

Constructor & Destructor Documentation

BermudezPMLMapping()

oomph::BermudezPMLMapping::BermudezPMLMapping ( )

inline

Default constructor (empty)

{};

Member Function Documentation

gamma()

std::complex<double> oomph::BermudezPMLMapping::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 \(\gamma=1 + (1/k)(i/|outer_boundary - x|)\)

Implements oomph::PMLMapping.

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