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SpECTRE
v2024.04.12
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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 = tmpl::list< Tags::OneMinusY, Tags::EthRDividedByR, Tags::EthEthRDividedByR > |
| using | return_tags = tmpl::list< Spectral::Swsh::Tags::Derivative< ArgumentTag, Spectral::Swsh::Tags::EthEth > > |
| using | argument_tags = tmpl::append< integration_independent_tags > |
| using | on_demand_argument_tags = tmpl::list< Tags::Dy< ArgumentTag >, Tags::Dy< Tags::Dy< ArgumentTag > >, Spectral::Swsh::Tags::Derivative< Tags::Dy< ArgumentTag >, Spectral::Swsh::Tags::Eth > > |
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 > > ð_r_divided_by_r, const Scalar< SpinWeighted< ComplexDataVector, 2 > > ð_eth_r_divided_by_r, const DyArgumentType &dy_argument, const DyDyArgumentType &dy_dy_argument, const EthDyArgumentType ð_dy_argument) |
Static Public Attributes | |
| static constexpr int | spin |
Specialization for the spin-weighted derivative \(\eth \eth\).
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 \(y\).
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staticconstexpr |