Cce::ApplySwshJacobianInplace< Spectral::Swsh::Tags::Derivative< ArgumentTag, Spectral::Swsh::Tags::EthEth > > Struct Template Reference

Specialization for the spin-weighted derivative \(\eth \eth\). More...

#include <SwshDerivatives.hpp>

Public Types
using	pre_swsh_derivative_tags = tmpl::list<>
using	swsh_derivative_tags = tmpl::list<>
using	integration_independent_tags
using	return_tags
using	argument_tags = tmpl::append<integration_independent_tags>
using	on_demand_argument_tags

Static Public Member Functions
template<typename DyArgumentType, typename DyDyArgumentType, typename EthDyArgumentType>
static void	apply (const gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, spin > > * > eth_eth_argument, const Scalar< SpinWeighted< ComplexDataVector, 0 > > &one_minus_y, const Scalar< SpinWeighted< ComplexDataVector, 1 > > &eth_r_divided_by_r, const Scalar< SpinWeighted< ComplexDataVector, 2 > > &eth_eth_r_divided_by_r, const DyArgumentType &dy_argument, const DyDyArgumentType &dy_dy_argument, const EthDyArgumentType &eth_dy_argument)

Static Public Attributes
static constexpr int	spin

Detailed Description

template<typename ArgumentTag>
struct Cce::ApplySwshJacobianInplace< Spectral::Swsh::Tags::Derivative< ArgumentTag, Spectral::Swsh::Tags::EthEth > >

Specialization for the spin-weighted derivative \(\eth \eth\).

Details

The implemented equation is:

\[\eth \eth F = \eth^\prime \eth^\prime F - (1 - y)^2 \frac{(\eth R)^2}{R^2} \partial_y^2 F - (1 - y) \left( 2 \frac{\eth R}{R} \eth \partial_y F + \frac{\eth \eth R}{R} \partial_y F\right), \]

where \(\eth \eth\) is the derivative at constant Bondi radius \(r\) and \(\eth^\prime \eth^\prime\) is the derivative at constant numerical radius \(y\).

Member Typedef Documentation

integration_independent_tags

template<typename ArgumentTag>

using Cce::ApplySwshJacobianInplace< Spectral::Swsh::Tags::Derivative< ArgumentTag, Spectral::Swsh::Tags::EthEth > >::integration_independent_tags

Initial value:

 
      tmpl::list<Tags::OneMinusY, Tags::EthRDividedByR,
                 Tags::EthEthRDividedByR>

on_demand_argument_tags

template<typename ArgumentTag>

using Cce::ApplySwshJacobianInplace< Spectral::Swsh::Tags::Derivative< ArgumentTag, Spectral::Swsh::Tags::EthEth > >::on_demand_argument_tags

Initial value:

 
      tmpl::list<Tags::Dy<ArgumentTag>, Tags::Dy<Tags::Dy<ArgumentTag>>,
                 Spectral::Swsh::Tags::Derivative<Tags::Dy<ArgumentTag>,
                                                  Spectral::Swsh::Tags::Eth>>

return_tags

template<typename ArgumentTag>

using Cce::ApplySwshJacobianInplace< Spectral::Swsh::Tags::Derivative< ArgumentTag, Spectral::Swsh::Tags::EthEth > >::return_tags

Initial value:

 tmpl::list<Spectral::Swsh::Tags::Derivative<
      ArgumentTag, Spectral::Swsh::Tags::EthEth>>

Member Data Documentation

spin

template<typename ArgumentTag>

int Cce::ApplySwshJacobianInplace< Spectral::Swsh::Tags::Derivative< ArgumentTag, Spectral::Swsh::Tags::EthEth > >::spin

staticconstexpr

Initial value:

=
      Spectral::Swsh::Tags::Derivative<ArgumentTag,
                                       Spectral::Swsh::Tags::EthEth>::spin

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

• src/Evolution/Systems/Cce/SwshDerivatives.hpp