Cce::Solutions::SphericalMetricData Struct Reference

Abstract base class for analytic worldtube data most easily derived in spherical coordinate form. More...

#include <SphericalMetricData.hpp>

Public Member Functions
	WRAPPED_PUPable_abstract (SphericalMetricData)
	SphericalMetricData (CkMigrateMessage *msg) noexcept
	SphericalMetricData (const double extraction_radius) noexcept
void	jacobian (gsl::not_null< SphericaliCartesianJ * > jacobian, size_t l_max) const noexcept
void	inverse_jacobian (gsl::not_null< CartesianiSphericalJ * > inverse_jacobian, size_t l_max) const noexcept
void	dr_inverse_jacobian (gsl::not_null< CartesianiSphericalJ * > dr_inverse_jacobian, size_t l_max) const noexcept
void	pup (PUP::er &p) noexcept override
Public Member Functions inherited from Cce::Solutions::WorldtubeData
	WRAPPED_PUPable_abstract (WorldtubeData)
	WorldtubeData (const double extraction_radius) noexcept
	WorldtubeData (CkMigrateMessage *msg) noexcept
virtual std::unique_ptr< WorldtubeData >	get_clone () const noexcept=0
template<typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const size_t output_l_max, const double time, tmpl::list< Tags... >) const noexcept
	Retrieve worldtube data represented by the analytic solution, at boundary angular resolution l_max and time time More...
void	pup (PUP::er &p) noexcept override
virtual std::unique_ptr< Cce::InitializeJ::InitializeJ< false > >	get_initialize_j (const double) const noexcept
virtual bool	use_noninertial_news () const noexcept

Static Public Member Functions
static void	dr_jacobian (gsl::not_null< SphericaliCartesianJ * > dr_jacobian, size_t l_max) noexcept

Protected Member Functions
void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > spacetime_metric, size_t l_max, double time, tmpl::type_< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > >) const noexcept override
	Computes the Cartesian spacetime metric from the spherical solution provided by the derived classes. More...
void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > dt_spacetime_metric, size_t l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > > >) const noexcept override
	Computes the time derivative of the Cartesian spacetime metric from the spherical solution provided by the derived classes. More...
void	variables_impl (gsl::not_null< tnsr::iaa< DataVector, 3 > * > d_spacetime_metric, size_t l_max, double time, tmpl::type_< GeneralizedHarmonic::Tags::Phi< 3, ::Frame::Inertial > >) const noexcept override
	Computes the spatial derivatives of the Cartesian spacetime metric from the spherical solution provided by the derived classes. More...
virtual void	spherical_metric (gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > spherical_metric, size_t l_max, double time) const noexcept=0
	Must be overriden in the derived class; should compute the spacetime metric of the analytic solution in spherical coordinates. More...
virtual void	dr_spherical_metric (gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > dr_spherical_metric, size_t l_max, double time) const noexcept=0
	Must be overriden in the derived class; should compute the first radial derivative of the spacetime metric of the analytic solution in spherical coordinates. More...
virtual void	dt_spherical_metric (gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > dt_spherical_metric, size_t l_max, double time) const noexcept=0
	Must be overriden in the derived class; should compute the first time derivative of the spacetime metric of the analytic solution in spherical coordinates. More...
virtual void	variables_impl (gsl::not_null< tnsr::i< DataVector, 3 > * > cartesian_coordinates, size_t output_l_max, double time, tmpl::type_< Tags::CauchyCartesianCoords >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::i< DataVector, 3 > * > dr_cartesian_coordinates, size_t output_l_max, double time, tmpl::type_< Tags::Dr< Tags::CauchyCartesianCoords > >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > spacetime_metric, size_t output_l_max, double time, tmpl::type_< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > >) const noexcept=0
virtual void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > dt_spacetime_metric, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > > >) const noexcept=0
virtual void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > pi, size_t output_l_max, double time, tmpl::type_< GeneralizedHarmonic::Tags::Pi< 3, ::Frame::Inertial > >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::iaa< DataVector, 3 > * > d_spacetime_metric, size_t output_l_max, double time, tmpl::type_< GeneralizedHarmonic::Tags::Phi< 3, ::Frame::Inertial > >) const noexcept=0
virtual void	variables_impl (gsl::not_null< tnsr::ii< DataVector, 3 > * > spatial_metric, size_t output_l_max, double time, tmpl::type_< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::ii< DataVector, 3 > * > dt_spatial_metric, size_t output_l_max, double time, tmpl::type_< ::Tags::dt< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > > >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::ii< DataVector, 3 > * > dr_spatial_metric, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > > >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::I< DataVector, 3 > * > shift, size_t output_l_max, double time, tmpl::type_< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::I< DataVector, 3 > * > dt_shift, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > > >) const noexcept
virtual void	variables_impl (gsl::not_null< tnsr::I< DataVector, 3 > * > dr_shift, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > > >) const noexcept
virtual void	variables_impl (gsl::not_null< Scalar< DataVector > * > lapse, size_t output_l_max, double time, tmpl::type_< gr::Tags::Lapse< DataVector > >) const noexcept
virtual void	variables_impl (gsl::not_null< Scalar< DataVector > * > dt_lapse, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::Lapse< DataVector > > >) const noexcept
virtual void	variables_impl (gsl::not_null< Scalar< DataVector > * > dr_lapse, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::Lapse< DataVector > > >) const noexcept
virtual void	variables_impl (gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, -2 > > * > news, size_t output_l_max, double time, tmpl::type_< Tags::News >) const noexcept=0
Protected Member Functions inherited from Cce::Solutions::WorldtubeData
template<typename Tag >
const auto &	cache_or_compute (const size_t output_l_max, const double time) const noexcept
virtual void	prepare_solution (size_t output_l_max, double time) const noexcept=0

Additional Inherited Members
Public Types inherited from Cce::Solutions::WorldtubeData
using	creatable_classes = tmpl::list< BouncingBlackHole, GaugeWave, LinearizedBondiSachs, RobinsonTrautman, RotatingSchwarzschild, TeukolskyWave >
using	tags = tmpl::list< Tags::CauchyCartesianCoords, Tags::Dr< Tags::CauchyCartesianCoords >, gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector >, ::Tags::dt< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > >, GeneralizedHarmonic::Tags::Pi< 3, ::Frame::Inertial >, GeneralizedHarmonic::Tags::Phi< 3, ::Frame::Inertial >, gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector >, ::Tags::dt< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > >, Tags::Dr< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > >, gr::Tags::Shift< 3, ::Frame::Inertial, DataVector >, ::Tags::dt< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > >, Tags::Dr< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > >, gr::Tags::Lapse< DataVector >, ::Tags::dt< gr::Tags::Lapse< DataVector > >, Tags::Dr< gr::Tags::Lapse< DataVector > >, Tags::News >
	The set of available tags provided by the analytic solution.
Protected Types inherited from Cce::Solutions::WorldtubeData
using	IntermediateCacheTuple = tuples::tagged_tuple_from_typelist< tmpl::transform< tmpl::list< Tags::CauchyCartesianCoords, Tags::Dr< Tags::CauchyCartesianCoords >, gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector >, GeneralizedHarmonic::Tags::Pi< 3, ::Frame::Inertial >, GeneralizedHarmonic::Tags::Phi< 3, ::Frame::Inertial >, gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector >, gr::Tags::Shift< 3, ::Frame::Inertial, DataVector >, gr::Tags::Lapse< DataVector >, ::Tags::dt< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > >, ::Tags::dt< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > >, ::Tags::dt< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > >, ::Tags::dt< gr::Tags::Lapse< DataVector > >, Tags::Dr< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > >, Tags::Dr< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > >, Tags::Dr< gr::Tags::Lapse< DataVector > >, Tags::News >, tmpl::bind< IntermediateCacheTag, tmpl::_1 > > >
Protected Attributes inherited from Cce::Solutions::WorldtubeData
IntermediateCacheTuple	intermediate_cache_
double	extraction_radius_ = std::numeric_limits<double>::quiet_NaN()

Detailed Description

Abstract base class for analytic worldtube data most easily derived in spherical coordinate form.

Details

This class provides the functions required by the WorldtubeData interface that convert from a spherical coordinate spacetime metric to Cartesian coordinates. Derived classes of SphericalMetricData need not implement the variables_impls for the Cartesian quantities. Instead, the derived classes must override the protected functions:

• SphericalMetricData::spherical_metric()
• SphericalMetricData::dr_spherical_metric()
• SphericalMetricData::dt_spherical_metric()

Derived classes are still responsible for overriding WorldtubeData::get_clone(), WorldtubeData::variables_impl() for tag Cce::Tags::News, and WorldtubeData::prepare_solution().

Member Function Documentation

dr_inverse_jacobian()

void Cce::Solutions::SphericalMetricData::dr_inverse_jacobian ( gsl::not_null< CartesianiSphericalJ * >  dr_inverse_jacobian, size_t  l_max  ) const

noexcept

Computes the first radial derivative of the Jacobian: \(\partial_r (\partial x_{\mathrm{spherical}}^j / \partial x_{\mathrm{Cartesian}}^i)\)

Details

The first radial derivative of the Jacobian (with \( \sin \theta \) scaled out of \(\phi\) components) in question is

\begin{align*} \frac{\partial}{\partial r} \frac{\partial x_{\mathrm{spherical}}^j}{\partial x_{\mathrm{Cartesian}}^i} = \left[ \begin{array}{ccc} \frac{\partial}{\partial r} \frac{\partial r}{\partial x} & \frac{\partial}{\partial r} \frac{\partial \theta}{\partial x} & \frac{\partial}{\partial r} \frac{\sin \theta \partial \phi}{\partial x} \\ \frac{\partial}{\partial r} \frac{\partial r}{\partial y} & \frac{\partial}{\partial r} \frac{\partial \theta}{\partial y} & \frac{\partial}{\partial r} \frac{\sin \theta \partial \phi}{\partial y} \\ \frac{\partial}{\partial r} \frac{\partial r}{\partial z} & \frac{\partial}{\partial r} \frac{\partial \theta}{\partial z} & \frac{\partial}{\partial r} \frac{\sin \theta \partial \phi}{\partial z} \end{array} \right] = \left[ \begin{array}{ccc} 0 & - \frac{\cos \phi \cos \theta}{r^2} & \frac{\sin \phi}{r^2} \\ 0 & - \frac{\cos \theta \sin \phi}{r^2} & -\frac{\cos \phi}{r^2} \\ 0 & \frac{\sin \theta}{r^2} & 0 \end{array} \right] \end{align*}

dr_jacobian()

static void Cce::Solutions::SphericalMetricData::dr_jacobian ( gsl::not_null< SphericaliCartesianJ * >  dr_jacobian, size_t  l_max  )

staticnoexcept

Computes the first radial derivative of the Jacobian: \(\partial_r (\partial x_{\mathrm{Cartesian}}^j / \partial x_{\mathrm{Spherical}}^i)\)

Details

The radial derivative of the Jacobian (with \( \sin \theta \) scaled out of \(\phi\) components) in question is

\begin{align*} \frac{\partial}{\partial r} \frac{\partial x_{\mathrm{Cartesian}}^j}{\partial x_{\mathrm{spherical}}^i} = \left[ \begin{array}{ccc} \frac{\partial^2 x}{(\partial r)^2} & \frac{\partial^2 y}{(\partial r)^2} & \frac{\partial^2 z}{(\partial r)^2} \\ \frac{\partial^2 x}{\partial r \partial \theta} & \frac{\partial^2 y}{\partial r \partial \theta} & \frac{\partial^2 z}{\partial r \partial \theta} \\ \frac{\partial^2 x}{\sin \theta \partial r \partial \phi} & \frac{\partial^2 y}{\sin \theta \partial r \partial \phi} & \frac{\partial^2 y}{\sin \theta \partial r \partial \phi} \end{array} \right] = \left[ \begin{array}{ccc} 0 & 0 & 0 \\ \cos \theta \cos \phi & \cos \theta \sin \phi & - \sin \theta \\ - \sin \phi & \cos \phi & 0 \end{array} \right] \end{align*}

dr_spherical_metric()

virtual void Cce::Solutions::SphericalMetricData::dr_spherical_metric ( gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * >  dr_spherical_metric, size_t  l_max, double  time  ) const

protectedpure virtualnoexcept

Must be overriden in the derived class; should compute the first radial derivative of the spacetime metric of the analytic solution in spherical coordinates.

Implemented in Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, and Cce::Solutions::TeukolskyWave.

dt_spherical_metric()

virtual void Cce::Solutions::SphericalMetricData::dt_spherical_metric ( gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * >  dt_spherical_metric, size_t  l_max, double  time  ) const

protectedpure virtualnoexcept

Must be overriden in the derived class; should compute the first time derivative of the spacetime metric of the analytic solution in spherical coordinates.

Implemented in Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, and Cce::Solutions::TeukolskyWave.

inverse_jacobian()

void Cce::Solutions::SphericalMetricData::inverse_jacobian ( gsl::not_null< CartesianiSphericalJ * >  inverse_jacobian, size_t  l_max  ) const

noexcept

Computes the Jacobian \(\partial x_{\mathrm{spherical}}^j / \partial x_{\mathrm{Cartesian}}^i\)

Details

The Jacobian (with \( \sin \theta \) scaled out of \(\phi\) components) in question is

\begin{align*} \frac{\partial x_{\mathrm{spherical}}^j}{\partial x_{\mathrm{Cartesian}}^i} = \left[ \begin{array}{ccc} \frac{\partial r}{\partial x} & \frac{\partial \theta}{\partial x} & \frac{\sin \theta \partial \phi}{\partial x} \\ \frac{\partial r}{\partial y} & \frac{\partial \theta}{\partial y} & \frac{\sin \theta \partial \phi}{\partial y} \\ \frac{\partial r}{\partial z} & \frac{\partial \theta}{\partial z} & \frac{\sin \theta \partial \phi}{\partial z} \end{array} \right] = \left[ \begin{array}{ccc} \cos \phi \sin \theta & \frac{\cos \phi \cos \theta}{r} & - \frac{\sin \phi}{r} \\ \sin \phi \sin \theta & \frac{\cos \theta \sin \phi}{r} & \frac{\cos \phi}{r} \\ \cos \theta & -\frac{\sin \theta}{r} & 0 \end{array} \right] \end{align*}

jacobian()

void Cce::Solutions::SphericalMetricData::jacobian ( gsl::not_null< SphericaliCartesianJ * >  jacobian, size_t  l_max  ) const

noexcept

Computes the Jacobian \(\partial x_{\mathrm{Cartesian}}^j / \partial x_{\mathrm{spherical}}^i\)

Details

The Jacobian (with \( \sin \theta \) scaled out of \(\phi\) components) in question is

\begin{align*} \frac{\partial x_{\mathrm{Cartesian}}^j}{\partial x_{\mathrm{spherical}}^i} = \left[ \begin{array}{ccc} \frac{\partial x}{\partial r} & \frac{\partial y}{\partial r} & \frac{\partial z}{\partial r} \\ \frac{\partial x}{\partial \theta} & \frac{\partial y}{\partial \theta} & \frac{\partial z}{\partial \theta} \\ \frac{\partial x}{\sin \theta \partial \phi} & \frac{\partial y}{\sin \theta \partial \phi} & \frac{\partial y}{\sin \theta \partial \phi} \end{array} \right] = \left[ \begin{array}{ccc} \sin \theta \cos \phi & \sin \theta \sin \phi & \cos \theta \\ r \cos \theta \cos \phi & r \cos \theta \sin \phi & -r \sin \theta \\ -r \sin \phi & r \cos \phi & 0 \end{array} \right] \end{align*}

spherical_metric()

virtual void Cce::Solutions::SphericalMetricData::spherical_metric ( gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * >  spherical_metric, size_t  l_max, double  time  ) const

protectedpure virtualnoexcept

Must be overriden in the derived class; should compute the spacetime metric of the analytic solution in spherical coordinates.

Implemented in Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, and Cce::Solutions::TeukolskyWave.

variables_impl() [1/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< Scalar< DataVector > * >  dr_lapse, size_t  output_l_max, double  time, tmpl::type_< Tags::Dr< gr::Tags::Lapse< DataVector > > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [2/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< Scalar< DataVector > * >  dt_lapse, size_t  output_l_max, double  time, tmpl::type_<::Tags::dt< gr::Tags::Lapse< DataVector > > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [3/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< Scalar< DataVector > * >  lapse, size_t  output_l_max, double  time, tmpl::type_< gr::Tags::Lapse< DataVector > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [4/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, -2 > > * >  news, size_t  output_l_max, double  time, tmpl::type_< Tags::News >    ) const

protectedvirtualnoexcept

Implements Cce::Solutions::WorldtubeData.

variables_impl() [5/19]

void Cce::Solutions::SphericalMetricData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * >  dt_spacetime_metric, size_t  l_max, double  time, tmpl::type_<::Tags::dt< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > > >    ) const

overrideprotectedvirtualnoexcept

Computes the time derivative of the Cartesian spacetime metric from the spherical solution provided by the derived classes.

Details

The derived classes provide the time derivative of the spherical metric data via the virtual function SphericalMetricData::dt_spherical_metric() at a resolution determined by the l_max argument. This function performs the coordinate transformation using the Jacobian computed from SphericalMetricData::inverse_jacobian().

Implements Cce::Solutions::WorldtubeData.

Reimplemented in Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, Cce::Solutions::TeukolskyWave, Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, Cce::Solutions::TeukolskyWave, and Cce::Solutions::TeukolskyWave.

variables_impl() [6/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * >  dt_spacetime_metric, size_t  output_l_max, double  time, tmpl::type_<::Tags::dt< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > > >    ) const

protectedvirtualnoexcept

Implements Cce::Solutions::WorldtubeData.

Reimplemented in Cce::Solutions::TeukolskyWave, Cce::Solutions::TeukolskyWave, and Cce::Solutions::TeukolskyWave.

variables_impl() [7/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * >  pi, size_t  output_l_max, double  time, tmpl::type_< GeneralizedHarmonic::Tags::Pi< 3, ::Frame::Inertial > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [8/19]

void Cce::Solutions::SphericalMetricData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * >  spacetime_metric, size_t  l_max, double  time, tmpl::type_< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > >    ) const

overrideprotectedvirtualnoexcept

Computes the Cartesian spacetime metric from the spherical solution provided by the derived classes.

Details

The derived classes provide spherical metric data via the virtual function SphericalMetricData::spherical_metric() at a resolution determined by the l_max argument. This function performs the coordinate transformation using the Jacobian computed from SphericalMetricData::inverse_jacobian().

Implements Cce::Solutions::WorldtubeData.

Reimplemented in Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, Cce::Solutions::TeukolskyWave, Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, Cce::Solutions::TeukolskyWave, and Cce::Solutions::TeukolskyWave.

variables_impl() [9/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * >  spacetime_metric, size_t  output_l_max, double  time, tmpl::type_< gr::Tags::SpacetimeMetric< 3, ::Frame::Inertial, DataVector > >    ) const

protectedvirtualnoexcept

Implements Cce::Solutions::WorldtubeData.

Reimplemented in Cce::Solutions::TeukolskyWave, Cce::Solutions::TeukolskyWave, and Cce::Solutions::TeukolskyWave.

variables_impl() [10/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::i< DataVector, 3 > * >  cartesian_coordinates, size_t  output_l_max, double  time, tmpl::type_< Tags::CauchyCartesianCoords >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [11/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::i< DataVector, 3 > * >  dr_cartesian_coordinates, size_t  output_l_max, double  time, tmpl::type_< Tags::Dr< Tags::CauchyCartesianCoords > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [12/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::I< DataVector, 3 > * >  dr_shift, size_t  output_l_max, double  time, tmpl::type_< Tags::Dr< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [13/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::I< DataVector, 3 > * >  dt_shift, size_t  output_l_max, double  time, tmpl::type_<::Tags::dt< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [14/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::I< DataVector, 3 > * >  shift, size_t  output_l_max, double  time, tmpl::type_< gr::Tags::Shift< 3, ::Frame::Inertial, DataVector > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [15/19]

void Cce::Solutions::SphericalMetricData::variables_impl ( gsl::not_null< tnsr::iaa< DataVector, 3 > * >  d_spacetime_metric, size_t  l_max, double  time, tmpl::type_< GeneralizedHarmonic::Tags::Phi< 3, ::Frame::Inertial > >    ) const

overrideprotectedvirtualnoexcept

Computes the spatial derivatives of the Cartesian spacetime metric from the spherical solution provided by the derived classes.

Details

The derived classes provide the radial derivative of the spherical metric data via the virtual function SphericalMetricData::dr_spherical_metric() at a resolution determined by the l_max_ argument. This function performs the additional angular derivatives necessary to assemble the full spatial derivative and performs the coordinate transformation to Cartesian coordinates via the Jacobians computed in SphericalMetricData::inverse_jacobian() and SphericalMetricData::inverse_jacobian().

Implements Cce::Solutions::WorldtubeData.

Reimplemented in Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, Cce::Solutions::TeukolskyWave, Cce::Solutions::GaugeWave, Cce::Solutions::LinearizedBondiSachs, Cce::Solutions::RobinsonTrautman, Cce::Solutions::RotatingSchwarzschild, Cce::Solutions::TeukolskyWave, and Cce::Solutions::TeukolskyWave.

variables_impl() [16/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::iaa< DataVector, 3 > * >  d_spacetime_metric, size_t  output_l_max, double  time, tmpl::type_< GeneralizedHarmonic::Tags::Phi< 3, ::Frame::Inertial > >    ) const

protectedvirtualnoexcept

Implements Cce::Solutions::WorldtubeData.

Reimplemented in Cce::Solutions::TeukolskyWave, Cce::Solutions::TeukolskyWave, and Cce::Solutions::TeukolskyWave.

variables_impl() [17/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::ii< DataVector, 3 > * >  dr_spatial_metric, size_t  output_l_max, double  time, tmpl::type_< Tags::Dr< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [18/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::ii< DataVector, 3 > * >  dt_spatial_metric, size_t  output_l_max, double  time, tmpl::type_< ::Tags::dt< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.

variables_impl() [19/19]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::ii< DataVector, 3 > * >  spatial_metric, size_t  output_l_max, double  time, tmpl::type_< gr::Tags::SpatialMetric< 3, ::Frame::Inertial, DataVector > >    ) const

protectedvirtualnoexcept

Reimplemented from Cce::Solutions::WorldtubeData.