Xcts::BoundaryConditions::Flatness< EnabledEquations > Class Template Reference

Impose flat spacetime at this boundary. More...

#include <Flatness.hpp>

Public Types
using	options = implementation defined
using	argument_tags = implementation defined
using	volume_tags = implementation defined
using	argument_tags_linearized = implementation defined
using	volume_tags_linearized = implementation defined

Public Member Functions
	Flatness (const Flatness &)=default
Flatness &	operator= (const Flatness &)=default
	Flatness (Flatness &&)=default
Flatness &	operator= (Flatness &&)=default
std::unique_ptr< domain::BoundaryConditions::BoundaryCondition >	get_clone () const override
std::vector< elliptic::BoundaryConditionType >	boundary_condition_types () const override
Public Member Functions inherited from elliptic::BoundaryConditions::BoundaryCondition< 3 >
	BoundaryCondition (const BoundaryCondition &)=default
	BoundaryCondition (BoundaryCondition &&)=default
BoundaryCondition &	operator= (const BoundaryCondition &)=default
BoundaryCondition &	operator= (BoundaryCondition &&)=default
virtual std::vector< elliptic::BoundaryConditionType >	boundary_condition_types () const=0
Public Member Functions inherited from domain::BoundaryConditions::BoundaryCondition
	BoundaryCondition (BoundaryCondition &&)=default
BoundaryCondition &	operator= (BoundaryCondition &&)=default
	BoundaryCondition (const BoundaryCondition &)=default
BoundaryCondition &	operator= (const BoundaryCondition &)=default
	BoundaryCondition (CkMigrateMessage *const msg)
	WRAPPED_PUPable_abstract (BoundaryCondition)
virtual auto	get_clone () const -> std::unique_ptr< BoundaryCondition >=0

Static Public Member Functions
static void	apply (gsl::not_null< Scalar< DataVector > * > conformal_factor_minus_one, gsl::not_null< Scalar< DataVector > * > n_dot_conformal_factor_gradient, const tnsr::i< DataVector, 3 > &deriv_conformal_factor)
static void	apply (gsl::not_null< Scalar< DataVector > * > conformal_factor_minus_one, gsl::not_null< Scalar< DataVector > * > lapse_times_conformal_factor_minus_one, gsl::not_null< Scalar< DataVector > * > n_dot_conformal_factor_gradient, gsl::not_null< Scalar< DataVector > * > n_dot_lapse_times_conformal_factor_gradient, const tnsr::i< DataVector, 3 > &deriv_conformal_factor, const tnsr::i< DataVector, 3 > &deriv_lapse_times_conformal_factor)
static void	apply (gsl::not_null< Scalar< DataVector > * > conformal_factor_minus_one, gsl::not_null< Scalar< DataVector > * > lapse_times_conformal_factor_minus_one, gsl::not_null< tnsr::I< DataVector, 3 > * > shift_excess, gsl::not_null< Scalar< DataVector > * > n_dot_conformal_factor_gradient, gsl::not_null< Scalar< DataVector > * > n_dot_lapse_times_conformal_factor_gradient, gsl::not_null< tnsr::I< DataVector, 3 > * > n_dot_longitudinal_shift_excess, const tnsr::i< DataVector, 3 > &deriv_conformal_factor, const tnsr::i< DataVector, 3 > &deriv_lapse_times_conformal_factor, const tnsr::iJ< DataVector, 3 > &deriv_shift_excess)
static void	apply_linearized (gsl::not_null< Scalar< DataVector > * > conformal_factor_correction, gsl::not_null< Scalar< DataVector > * > n_dot_conformal_factor_gradient_correction, const tnsr::i< DataVector, 3 > &deriv_conformal_factor_correction)
static void	apply_linearized (gsl::not_null< Scalar< DataVector > * > conformal_factor_correction, gsl::not_null< Scalar< DataVector > * > lapse_times_conformal_factor_correction, gsl::not_null< Scalar< DataVector > * > n_dot_conformal_factor_gradient_correction, gsl::not_null< Scalar< DataVector > * > n_dot_lapse_times_conformal_factor_gradient_correction, const tnsr::i< DataVector, 3 > &deriv_conformal_factor_correction, const tnsr::i< DataVector, 3 > &deriv_lapse_times_conformal_factor_correction)
static void	apply_linearized (gsl::not_null< Scalar< DataVector > * > conformal_factor_correction, gsl::not_null< Scalar< DataVector > * > lapse_times_conformal_factor_correction, gsl::not_null< tnsr::I< DataVector, 3 > * > shift_excess_correction, gsl::not_null< Scalar< DataVector > * > n_dot_conformal_factor_gradient_correction, gsl::not_null< Scalar< DataVector > * > n_dot_lapse_times_conformal_factor_gradient_correction, gsl::not_null< tnsr::I< DataVector, 3 > * > n_dot_longitudinal_shift_excess_correction, const tnsr::i< DataVector, 3 > &deriv_conformal_factor_correction, const tnsr::i< DataVector, 3 > &deriv_lapse_times_conformal_factor_correction, const tnsr::iJ< DataVector, 3 > &deriv_shift_excess_correction)

Static Public Attributes
static constexpr Options::String	help
Static Public Attributes inherited from elliptic::BoundaryConditions::BoundaryCondition< 3 >
static constexpr size_t	volume_dim

Detailed Description

template<Xcts::Equations EnabledEquations>
class Xcts::BoundaryConditions::Flatness< EnabledEquations >

Impose flat spacetime at this boundary.

Impose $\psi =1$, $\alpha \psi =1$, ${\beta }_{\mathrm{e}\mathrm{x}\mathrm{c}\mathrm{e}\mathrm{s}\mathrm{s}}^i=0$ on this boundary, where $\psi$ is the conformal factor, $\alpha$ is the lapse and ${\beta }_{\mathrm{e}\mathrm{x}\mathrm{c}\mathrm{e}\mathrm{s}\mathrm{s}}^i={\beta }^i-{\beta }_{\mathrm{b}\mathrm{a}\mathrm{c}\mathrm{k}\mathrm{g}\mathrm{r}\mathrm{o}\mathrm{u}\mathrm{n}\mathrm{d}}^i$ is the shift excess (see Xcts::Tags::ShiftExcess for details on the split of the shift in background and excess). Note that this choice only truly represents flatness if the conformal background metric is flat.

Template Parameters

EnabledEquations

The subset of XCTS equations that are being solved

Member Function Documentation

boundary_condition_types()

template<Xcts::Equations EnabledEquations>

std::vector< elliptic::BoundaryConditionType > Xcts::BoundaryConditions::Flatness< EnabledEquations >::boundary_condition_types ( ) const

inlineoverridevirtual

Implements elliptic::BoundaryConditions::BoundaryCondition< 3 >.

get_clone()

template<Xcts::Equations EnabledEquations>

std::unique_ptr< domain::BoundaryConditions::BoundaryCondition > Xcts::BoundaryConditions::Flatness< EnabledEquations >::get_clone ( ) const

inlineoverridevirtual

Implements domain::BoundaryConditions::BoundaryCondition.

Member Data Documentation

help

template<Xcts::Equations EnabledEquations>

constexpr Options::String Xcts::BoundaryConditions::Flatness< EnabledEquations >::help

staticconstexpr

Initial value:

=
      "Impose flat spacetime at this boundary."

---

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

• src/Elliptic/Systems/Xcts/BoundaryConditions/Flatness.hpp