Surface where boundary conditions for quantities in the bulk will be calculated It relies on geometrical properties of the associated Spheroid() (*** WARNING! More...

#include <excision_hor.h>

Public Member Functions
	Excision_hor (const Scalar &h_in, const Metric &gij, const Sym_tensor &Kij2, const Scalar &ppsi, const Scalar &nn, const Vector &beta, const Sym_tensor &Tij2, double timestep, int int_nos=1)
	Constructor of an excision surface embedded in a 3-slice (`Time_slice` ) of 3+1 formalism.
	Excision_hor (const Excision_hor &)
	Copy constructor.
	Excision_hor (FILE *)
	Constructor from a file (see `sauve(FILE*)` ).
virtual	~Excision_hor ()
	Destructor.
void	operator= (const Excision_hor &)
	Assignment to another Excision_hor.
const Spheroid &	get_sph () const
	Returns the spheroid.
const Scalar &	get_conf_fact () const
	Returns the conformal factor associated with the surface.
const Scalar &	get_lapse () const
	Returns the lapse function.
const Vector &	get_shift () const
	Returns the shift vector field.
const Metric &	get_gamij () const
	Returns the symmetric tensor .
const Sym_tensor &	get_Kij () const
	returns the 3-d extrinsic curvature $K_{ij}$
double	get_delta_t () const
	Returns the timestep used for evolution.
double	get_no_of_steps () const
	Returns the internal number of timesteps for one iteration.
const Sym_tensor &	get_Tij () const
	Returns the value of the impulsion-energy tensor.
Scalar &	set_conf_fact ()
	Sets the value of the conformal factor.
Scalar &	set_lapse ()
	Sets the lapse function.
Vector &	set_shift ()
	Sets the shift vector field.
Metric &	set_gamij ()
	Sets the 3d metric of the TimeSlice.
Sym_tensor &	set_Kij ()
	Sets the extrinsic curvature.
Sym_tensor &	set_Tij ()
	Sets the value of the impulsion-energy tensor.
double &	set_delta_t ()
double &	set_no_of_steps ()
const Scalar &	get_BC_conf_fact () const
	Source of Neumann BC on $\psi$ , derived from the vanishing expansion.
const Scalar &	get_BC_bmN (int choice_bmN, double value=1.) const
	Source of Dirichlet BC for (b-N): case 0: based on an entropy prescription, case 1: from a component of projected Einstein Equations.
const Scalar &	get_BC_bpN (int choice_bpN, double c_bpn_lap=1., double c_bpn_fin=1., Scalar *bpN_fin=0x0) const
	Case 0: Arbitrary source of Dirichlet BC for (b+N), based on a parabolic driver towards a constant value.
const Vector &	get_BC_shift (double c_V_lap) const
	Source of Dirichlet BC for the shift, issued from BC on bpN and a gauge condition on the tangential shift (based on a parabolic driver).
virtual void	sauve (FILE *) const
	Save in a file.

Protected Member Functions
virtual void	del_deriv () const
	Deletes all the derived quantities.
void	set_der_0x0 () const
	Sets to `0x0` all the pointers on derived quantities.

Protected Attributes
Spheroid	sph
	The associated Spheroid object.
Scalar	conf_fact
	The value of the conformal factor on the 3-slice.
Scalar	lapse
	The lapse defined on the 3 slice.
Vector	shift
	The Shift 3-vector on the slice.
Metric	gamij
	The 3-d metric on the slice.
Sym_tensor	Kij
	The 3-d extrinsic curvature on the slice.
double	delta_t
	The time step for evolution in parabolic drivers.
double	no_of_steps
	The internal number of timesteps for one iteration.
Sym_tensor	Tij
	Value of the impulsion-energy tensor on the spheroid.
Scalar *	p_get_BC_conf_fact
	Source of Neumann BC on $\psi$ , derived from the vanishing expansion.
Scalar *	p_get_BC_bmN
	Source of Dirichlet BC for (b-N).
Scalar *	p_get_BC_bpN
	Arbitrary source of Dirichlet BC for (b+N), case 0: based on a parabolic driver towards a constant value, case 1:from a component of projected Einstein Equations. .
Vector *	p_get_BC_shift
	Source of Dirichlet BC for the shift, issued from BC on bpN and a gauge condition on the tangential shift.

Friends
ostream &	operator<< (ostream &, const Spheroid &)
	Display.

Detailed Description

Surface where boundary conditions for quantities in the bulk will be calculated It relies on geometrical properties of the associated Spheroid() (*** WARNING!

under development***)

Definition at line 43 of file excision_hor.h.

Constructor & Destructor Documentation

◆ Excision_hor() [1/3]

Lorene::Excision_hor::Excision_hor	(	const Scalar &	h_in,
		const Metric &	gij,
		const Sym_tensor &	Kij2,
		const Scalar &	ppsi,
		const Scalar &	nn,
		const Vector &	beta,
		const Sym_tensor &	Tij2,
		double	timestep,
		int	int_nos = 1 )

Constructor of an excision surface embedded in a 3-slice (Time_slice ) of 3+1 formalism.

This is done from the Time_slice data.

Parameters

h_in	: the location of the surface r = h_in (WARNING:must be defined on a mono-domain angular grid)
gij	: the 3-metric on the 3-slice
Kij	: the extrinsic curvature of the 3-slice (covariant representation)
timestep	: time interval associated with the parabolic-driven boundary conditions.
int_nos	: Number of iterations to be done during timestep.
Tij	: Value of the impulsion-energy tensor on the spheroid

Definition at line 46 of file excision_hor.C.

References conf_fact, delta_t, gamij, Kij, lapse, no_of_steps, set_der_0x0(), shift, sph, and Tij.

◆ Excision_hor() [2/3]

Lorene::Excision_hor::Excision_hor ( const Excision_hor & exc_in )

Copy constructor.

Definition at line 68 of file excision_hor.C.

References conf_fact, delta_t, Excision_hor(), gamij, Kij, lapse, no_of_steps, set_der_0x0(), shift, sph, and Tij.

◆ Excision_hor() [3/3]

Lorene::Excision_hor::Excision_hor ( FILE * )

Constructor from a file (see sauve(FILE*) ).

◆ ~Excision_hor()

Lorene::Excision_hor::~Excision_hor ( )

virtual

Destructor.

Definition at line 86 of file excision_hor.C.

References del_deriv().

Member Function Documentation

◆ del_deriv()

void Lorene::Excision_hor::del_deriv ( ) const

protectedvirtual

Deletes all the derived quantities.

Definition at line 94 of file excision_hor.C.

References p_get_BC_bmN, p_get_BC_bpN, p_get_BC_conf_fact, p_get_BC_shift, and set_der_0x0().

◆ get_BC_bmN()

const Scalar & Lorene::Excision_hor::get_BC_bmN	(	int	choice_bmN,
		double	value = 1. ) const

Source of Dirichlet BC for (b-N): case 0: based on an entropy prescription, case 1: from a component of projected Einstein Equations.

Definition at line 147 of file excision_hor.C.

References Lorene::Scalar::allocate_all(), Lorene::Tensor::annule_domain(), Lorene::Metric_flat::con(), Lorene::contract(), gamij, Lorene::get_mg(), Lorene::Tensor::get_mp(), lapse, Lorene::max(), Lorene::maxabs(), p_get_BC_bmN, Lorene::Scalar::poisson_angu(), Lorene::Tensor::set(), Lorene::Scalar::set_grid_point(), Lorene::Scalar::set_spectral_va(), shift, sph, Lorene::Scalar::std_spectral_base(), Lorene::Tensor::std_spectral_base(), Tij, Lorene::Tensor::up_down(), Lorene::Scalar::val_grid_point(), and Lorene::Valeur::ylm().

◆ get_BC_bpN()

const Scalar & Lorene::Excision_hor::get_BC_bpN	(	int	choice_bpN,
		double	c_bpn_lap = 1.,
		double	c_bpn_fin = 1.,
		Scalar *	bpN_fin = 0x0 ) const

Case 0: Arbitrary source of Dirichlet BC for (b+N), based on a parabolic driver towards a constant value.

Case 1: Source of Dirichlet BC for (b+N), from a component of projected Einstein Equations.

Definition at line 298 of file excision_hor.C.

References Lorene::Scalar::allocate_all(), Lorene::Tensor::annule_domain(), Lorene::contract(), delta_t, gamij, get_BC_bmN(), Lorene::get_mg(), Lorene::Scalar::lapang(), lapse, p_get_BC_bpN, Lorene::Scalar::set_grid_point(), Lorene::Scalar::set_spectral_va(), shift, sph, Lorene::Scalar::std_spectral_base(), Tij, Lorene::Tensor::up(), Lorene::Tensor::up_down(), Lorene::Scalar::val_grid_point(), and Lorene::Valeur::ylm().

◆ get_BC_conf_fact()

const Scalar & Lorene::Excision_hor::get_BC_conf_fact ( ) const

Source of Neumann BC on $\psi$ , derived from the vanishing expansion.

Definition at line 120 of file excision_hor.C.

References conf_fact, Lorene::contract(), Lorene::Vector::divergence(), gamij, Kij, p_get_BC_conf_fact, Lorene::pow(), Lorene::Metric::radial_vect(), Lorene::Scalar::set_spectral_va(), Lorene::Scalar::std_spectral_base(), Lorene::Tensor::std_spectral_base(), and Lorene::Valeur::ylm().

◆ get_BC_shift()

const Vector & Lorene::Excision_hor::get_BC_shift ( double c_V_lap ) const

Source of Dirichlet BC for the shift, issued from BC on bpN and a gauge condition on the tangential shift (based on a parabolic driver).

Definition at line 421 of file excision_hor.C.

References Lorene::Scalar::allocate_all(), Lorene::Tensor::annule_domain(), Lorene::contract(), delta_t, Lorene::Tensor::derive_con(), Lorene::Tensor::derive_cov(), Lorene::Tensor_sym::derive_cov(), Lorene::Tensor::down(), gamij, Lorene::get_mg(), lapse, p_get_BC_bmN, p_get_BC_bpN, p_get_BC_shift, Lorene::Scalar::set_grid_point(), shift, sph, Lorene::Scalar::std_spectral_base(), Lorene::Tensor::std_spectral_base(), Lorene::Vector::std_spectral_base(), Lorene::Tensor::up_down(), and Lorene::Scalar::val_grid_point().

◆ get_conf_fact()

const Scalar & Lorene::Excision_hor::get_conf_fact ( ) const

inline

Returns the conformal factor associated with the surface.

Definition at line 135 of file excision_hor.h.

References conf_fact.

◆ get_delta_t()

double Lorene::Excision_hor::get_delta_t ( ) const

inline

Returns the timestep used for evolution.

Definition at line 150 of file excision_hor.h.

References delta_t.

◆ get_gamij()

const Metric & Lorene::Excision_hor::get_gamij ( ) const

inline

Returns the symmetric tensor $ gamij $ .

Definition at line 144 of file excision_hor.h.

References gamij.

◆ get_Kij()

const Sym_tensor & Lorene::Excision_hor::get_Kij ( ) const

inline

returns the 3-d extrinsic curvature $K_{ij}$

Definition at line 147 of file excision_hor.h.

References Kij.

◆ get_lapse()

const Scalar & Lorene::Excision_hor::get_lapse ( ) const

inline

Returns the lapse function.

Definition at line 138 of file excision_hor.h.

References lapse.

◆ get_no_of_steps()

double Lorene::Excision_hor::get_no_of_steps ( ) const

inline

Returns the internal number of timesteps for one iteration.

Definition at line 153 of file excision_hor.h.

References no_of_steps.

◆ get_shift()

const Vector & Lorene::Excision_hor::get_shift ( ) const

inline

Returns the shift vector field.

Definition at line 141 of file excision_hor.h.

References shift.

◆ get_sph()

const Spheroid & Lorene::Excision_hor::get_sph ( ) const

inline

Returns the spheroid.

Definition at line 132 of file excision_hor.h.

References sph.

◆ get_Tij()

const Sym_tensor & Lorene::Excision_hor::get_Tij ( ) const

inline

Returns the value of the impulsion-energy tensor.

Definition at line 156 of file excision_hor.h.

References Tij.

◆ operator=()

void Lorene::Excision_hor::operator= ( const Excision_hor & )

Assignment to another Excision_hor.

References Excision_hor().

◆ sauve()

void Lorene::Excision_hor::sauve ( FILE * ) const

virtual

Save in a file.

Definition at line 532 of file excision_hor.C.

◆ set_conf_fact()

Scalar & Lorene::Excision_hor::set_conf_fact ( )

inline

Sets the value of the conformal factor.

Definition at line 159 of file excision_hor.h.

References conf_fact, and del_deriv().

◆ set_delta_t()

double & Lorene::Excision_hor::set_delta_t ( )

inline

Definition at line 177 of file excision_hor.h.

◆ set_der_0x0()

void Lorene::Excision_hor::set_der_0x0 ( ) const

protected

Sets to 0x0 all the pointers on derived quantities.

Definition at line 103 of file excision_hor.C.

References p_get_BC_bmN, p_get_BC_bpN, p_get_BC_conf_fact, and p_get_BC_shift.

◆ set_gamij()

Metric & Lorene::Excision_hor::set_gamij ( )

inline

Sets the 3d metric of the TimeSlice.

Definition at line 168 of file excision_hor.h.

References del_deriv(), and gamij.

◆ set_Kij()

Sym_tensor & Lorene::Excision_hor::set_Kij ( )

inline

Sets the extrinsic curvature.

Definition at line 171 of file excision_hor.h.

References del_deriv(), and Kij.

◆ set_lapse()

Scalar & Lorene::Excision_hor::set_lapse ( )

inline

Sets the lapse function.

Definition at line 162 of file excision_hor.h.

References del_deriv(), and lapse.

◆ set_no_of_steps()

double & Lorene::Excision_hor::set_no_of_steps ( )

inline

Definition at line 179 of file excision_hor.h.

◆ set_shift()

Vector & Lorene::Excision_hor::set_shift ( )

inline

Sets the shift vector field.

Definition at line 165 of file excision_hor.h.

References del_deriv(), and shift.

◆ set_Tij()

Sym_tensor & Lorene::Excision_hor::set_Tij ( )

inline

Sets the value of the impulsion-energy tensor.

Definition at line 174 of file excision_hor.h.

References del_deriv(), and Tij.

◆ operator<<

ostream & operator<<	(	ostream &	,
		const Spheroid &	)

friend

Display.

Member Data Documentation

◆ conf_fact

Scalar Lorene::Excision_hor::conf_fact

protected

The value of the conformal factor on the 3-slice.

Definition at line 53 of file excision_hor.h.

◆ delta_t

double Lorene::Excision_hor::delta_t

protected

The time step for evolution in parabolic drivers.

Definition at line 68 of file excision_hor.h.

◆ gamij

Metric Lorene::Excision_hor::gamij

protected

The 3-d metric on the slice.

Definition at line 62 of file excision_hor.h.

◆ Kij

Sym_tensor Lorene::Excision_hor::Kij

protected

The 3-d extrinsic curvature on the slice.

Definition at line 65 of file excision_hor.h.

◆ lapse

Scalar Lorene::Excision_hor::lapse

protected

The lapse defined on the 3 slice.

Definition at line 56 of file excision_hor.h.

◆ no_of_steps

double Lorene::Excision_hor::no_of_steps

protected

The internal number of timesteps for one iteration.

Definition at line 71 of file excision_hor.h.

◆ p_get_BC_bmN

Scalar* Lorene::Excision_hor::p_get_BC_bmN

mutableprotected

Source of Dirichlet BC for (b-N).

Definition at line 81 of file excision_hor.h.

◆ p_get_BC_bpN

Scalar* Lorene::Excision_hor::p_get_BC_bpN

mutableprotected

Arbitrary source of Dirichlet BC for (b+N), case 0: based on a parabolic driver towards a constant value, case 1:from a component of projected Einstein Equations. .

Definition at line 82 of file excision_hor.h.

◆ p_get_BC_conf_fact

Scalar* Lorene::Excision_hor::p_get_BC_conf_fact

mutableprotected

Source of Neumann BC on $\psi$ , derived from the vanishing expansion.

Definition at line 80 of file excision_hor.h.

◆ p_get_BC_shift

Vector* Lorene::Excision_hor::p_get_BC_shift

mutableprotected

Source of Dirichlet BC for the shift, issued from BC on bpN and a gauge condition on the tangential shift.

Definition at line 83 of file excision_hor.h.

◆ shift

Vector Lorene::Excision_hor::shift

protected

The Shift 3-vector on the slice.

Definition at line 59 of file excision_hor.h.

◆ sph

Spheroid Lorene::Excision_hor::sph

protected

The associated Spheroid object.

Definition at line 50 of file excision_hor.h.

◆ Tij

Sym_tensor Lorene::Excision_hor::Tij

protected

Value of the impulsion-energy tensor on the spheroid.

Definition at line 74 of file excision_hor.h.

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

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Excision_hor() [1/3]

◆ Excision_hor() [2/3]

◆ Excision_hor() [3/3]

◆ ~Excision_hor()

Member Function Documentation

◆ del_deriv()

◆ get_BC_bmN()

◆ get_BC_bpN()

◆ get_BC_conf_fact()

◆ get_BC_shift()

◆ get_conf_fact()

◆ get_delta_t()

◆ get_gamij()

◆ get_Kij()

◆ get_lapse()

◆ get_no_of_steps()

◆ get_shift()

◆ get_sph()

◆ get_Tij()

◆ operator=()

◆ sauve()

◆ set_conf_fact()

◆ set_delta_t()

◆ set_der_0x0()

◆ set_gamij()

◆ set_Kij()

◆ set_lapse()

◆ set_no_of_steps()

◆ set_shift()

◆ set_Tij()

Friends And Related Symbol Documentation

◆ operator<<

Member Data Documentation

◆ conf_fact

◆ delta_t

◆ gamij

◆ Kij

◆ lapse

◆ no_of_steps

◆ p_get_BC_bmN

◆ p_get_BC_bpN

◆ p_get_BC_conf_fact

◆ p_get_BC_shift

◆ shift

◆ sph

◆ Tij