Radial Sommerfeld boundary conditions for the m-mode field. More...

#include <Sommerfeld.hpp>

Classes
struct	BlackHoleMass
struct	BlackHoleSpin
struct	HyperboloidalSlicing
struct	MModeNumber
struct	OrbitalRadius
struct	Order

Public Types
using	options
using	argument_tags
using	volume_tags = tmpl::list<>
using	argument_tags_linearized
using	volume_tags_linearized = tmpl::list<>

Public Member Functions
	Sommerfeld (const Sommerfeld &)=default
Sommerfeld &	operator= (const Sommerfeld &)=default
	Sommerfeld (Sommerfeld &&)=default
Sommerfeld &	operator= (Sommerfeld &&)=default
	Sommerfeld (double black_hole_mass, double black_hole_spin, double orbital_radius, int m_mode_number, bool hyperboloidal_slicing, int order)
double	black_hole_mass () const
double	black_hole_spin () const
double	orbital_radius () const
int	m_mode_number () const
bool	hyperboloidal_slicing () const
int	order () const
std::unique_ptr< domain::BoundaryConditions::BoundaryCondition >	get_clone () const override
std::vector< elliptic::BoundaryConditionType >	boundary_condition_types () const override
void	apply (gsl::not_null< Scalar< ComplexDataVector > * > field, gsl::not_null< Scalar< ComplexDataVector > * > n_dot_field_gradient, const tnsr::i< ComplexDataVector, 2 > &deriv_field, const Scalar< ComplexDataVector > &beta, const tnsr::i< ComplexDataVector, 2 > &gamma) const
void	apply_linearized (gsl::not_null< Scalar< ComplexDataVector > * > field_correction, gsl::not_null< Scalar< ComplexDataVector > * > n_dot_field_gradient_correction, const tnsr::i< ComplexDataVector, 2 > &deriv_field_correction, const Scalar< ComplexDataVector > &beta, const tnsr::i< ComplexDataVector, 2 > &gamma) const
void	pup (PUP::er &p) override
Public Member Functions inherited from elliptic::BoundaryConditions::BoundaryCondition< 2 >
	BoundaryCondition (const BoundaryCondition &)=default
	BoundaryCondition (BoundaryCondition &&)=default
BoundaryCondition &	operator= (const BoundaryCondition &)=default
BoundaryCondition &	operator= (BoundaryCondition &&)=default
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)

Static Public Attributes
static constexpr Options::String	help
Static Public Attributes inherited from elliptic::BoundaryConditions::BoundaryCondition< 2 >
static constexpr size_t	volume_dim

Friends
bool	operator== (const Sommerfeld &lhs, const Sommerfeld &rhs)

Detailed Description

Radial Sommerfeld boundary conditions for the m-mode field.

The radial boundary conditions are given in Eq. (4.10-4.11) in [160] . They apply both near the Kerr horizon (inner radial boundary) and at large distance (outer radial boundary):

\begin{equation}n_i F^i = i m \Omega \Psi_m \end{equation}

These boundary conditions currently assume a circular equatorial orbit.