Spacetime intended for binary black hole configurations (see constructor for details about the domains used) The radii of the holes are variables. More...

#include <bin_bh.hpp>

Inheritance diagram for Kadath::Space_bin_bh:

Public Member Functions
	Space_bin_bh (int ttype, double dist, double rbh1, double rbh2, double rext, int nr)
	Standard constructor More...

	Space_bin_bh (FILE *)
	Constructor from a file. More...

virtual	~Space_bin_bh ()
	Destructor. More...

virtual void	save (FILE *) const
	Saving function. More...

virtual int	nbr_unknowns_from_variable_domains () const
	Gives the number of unknowns coming from the variable shape of the domain. More...

virtual void	affecte_coef_to_variable_domains (int &, int, Array< int > &) const
	The variation of the functions describing the shape of the `Domain` are affected from the unknowns of the system. More...

virtual void	xx_to_ders_variable_domains (const Array< double > &, int &) const
	Update the vairable domains from a set of values. More...

virtual void	xx_to_vars_variable_domains (System_of_eqs *, const Array< double > &, int &) const
	Update the variables of a system, from the variation of the shape of the domains. More...

virtual Array< int >	get_indices_matching_non_std (int dom, int bound) const
	Gives the number of the other domains, touching a given boundary. More...

void	add_eq (System_of_eqs &syst, const char eq, const char rac, const char rac_der, int nused=-1, Array< int > *pused=0x0)
	Adds a bulk equation and two matching conditions. More...

void	add_bc_sphere_one (System_of_eqs &syst, const char eq, int nused=-1, Array< int > *pused=0x0)
	Sets a boundary condition at the inner radius of the first outer shell. More...

void	add_bc_sphere_two (System_of_eqs &syst, const char eq, int nused=-1, Array< int > *pused=0x0)
	Sets a boundary condition at the inner radius of the second outer shell. More...

void	add_bc_outer (System_of_eqs &syst, const char eq, int nused=-1, Array< int > *pused=0x0)
	Sets a boundary condition at the outer boundary. More...

void	add_eq_int_inf (System_of_eqs &syst, const char *eq)
	Adds an equation being a surface integral at infinity. More...

void	add_eq_int_sphere_one (System_of_eqs &syst, const char *eq)
	Adds an equation being a surface integral on the first sphere. More...

void	add_eq_int_sphere_two (System_of_eqs &syst, const char *eq)
	Adds an equation being a surface integral on the first sphere. More...

void	add_eq_zero_mode_inf (System_of_eqs &syst, const char *f, int jtarget, int ktarget)
	Adds an equation saying that one coefficient of a field is zero (at infinity) More...

int	get_ndim () const
	Returns the number of dimensions. More...

int	get_nbr_domains () const
	Returns the number of `Domains`. More...

int	get_type_base () const
	Returns the type of basis. More...

const Domain *	get_domain (int i) const
	returns a pointer on the domain. More...

Protected Attributes
double	a_minus
	X-absolute coordinate of the center of the first sphere. More...

double	a_plus
	X-absolute coordinate of the center of the second sphere. More...

int	nbr_domains
	Number od `Domains`. More...

int	ndim
	Number of dimensions (should be the same for all the `Domains`). More...

int	type_base
	Type of basis used (i.e. using either Chebyshev or Legendre polynomials). More...

Domain **	domains
	Pointers on the various `Domains`. More...

Detailed Description

Spacetime intended for binary black hole configurations (see constructor for details about the domains used) The radii of the holes are variables.

Definition at line 35 of file bin_bh.hpp.

Constructor & Destructor Documentation

◆ Space_bin_bh() [1/2]

Kadath::Space_bin_bh::Space_bin_bh	(	int	ttype,
		double	dist,
		double	rbh1,
		double	rbh2,
		double	rext,
		int	nr
	)

Standard constructor

Parameters

ttype	[input] : the type of basis.
dist	[input] : distance between the centers of the two spheres.
rbh1	[input] : radius of the first sphere.
rbh2	[input] : radius of the second sphere.
rext	[input] : radius of the outer boundary of the bispherical part.
nr	[input] : number of points in each dimension

The various domains are then :

One Domain_nucleus, of radius , centered at .
One Domain_shell_outer_homothetic of with , centered at .
One Domain_shell_inner_homothetic of with , centered at .
One Domain_nucleus, of radius , centered at .
One Domain_shell_outer_homothetic of with , centered at .
One Domain_shell_inner_homothetic of with , centered at .
One Domain_bispheric_chi_first near the first sphere.
One Domain_bispheric_rect near the first sphere.
One Domain_bispheric_eta_first inbetween the two spheres.
One Domain_bispheric_rect near the second sphere.
One Domain_bispheric_chi_first near the second sphere.
One Domain_compact centered on the origin, with inner radius .

Definition at line 43 of file space_bin_bh.cpp.

References Kadath::Param::add_double(), Kadath::Space::domains, Kadath::Space::nbr_domains, Kadath::Space::ndim, Kadath::Dim_array::set(), Kadath::Point::set(), Kadath::Space::type_base, Kadath::Domain_shell_inner_adapted::update(), Kadath::Domain_shell_outer_adapted::update(), Kadath::Domain_shell_inner_adapted::vars_to_terms(), and Kadath::Domain_shell_outer_adapted::vars_to_terms().

◆ Space_bin_bh() [2/2]

Kadath::Space_bin_bh::Space_bin_bh ( FILE * fd )

Constructor from a file.

Definition at line 116 of file space_bin_bh.cpp.

References Kadath::Space::domains, Kadath::Space::nbr_domains, Kadath::Space::ndim, Kadath::Space::type_base, Kadath::Domain_shell_inner_adapted::update(), Kadath::Domain_shell_outer_adapted::update(), Kadath::Domain_shell_inner_adapted::vars_to_terms(), and Kadath::Domain_shell_outer_adapted::vars_to_terms().

◆ ~Space_bin_bh()

Kadath::Space_bin_bh::~Space_bin_bh ( )

virtual

Destructor.

Definition at line 155 of file space_bin_bh.cpp.

References Kadath::Domain_shell_inner_adapted::del_deriv(), Kadath::Domain_shell_outer_adapted::del_deriv(), and Kadath::Space::domains.

Member Function Documentation

◆ add_bc_outer()

void Kadath::Space_bin_bh::add_bc_outer	(	System_of_eqs &	syst,
		const char *	eq,
		int	nused = `-1`,
		Array< int > **	pused = `0x0`
	)

Sets a boundary condition at the outer boundary.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the boundary condition.
nused	: number of components of `eq` to be considered. All the components are used of it is -1.
pused	: pointer on the indexes of the components to be considered. Not used of nused = -1 .

Definition at line 37 of file bin_bh_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_bc().

◆ add_bc_sphere_one()

void Kadath::Space_bin_bh::add_bc_sphere_one	(	System_of_eqs &	syst,
		const char *	eq,
		int	nused = `-1`,
		Array< int > **	pused = `0x0`
	)

Sets a boundary condition at the inner radius of the first outer shell.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the boundary condition.
nused	: number of components of `eq` to be considered. All the components are used of it is -1.
pused	: pointer on the indexes of the components to be considered. Not used of nused = -1 .

Definition at line 29 of file bin_bh_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_bc().

◆ add_bc_sphere_two()

void Kadath::Space_bin_bh::add_bc_sphere_two	(	System_of_eqs &	syst,
		const char *	eq,
		int	nused = `-1`,
		Array< int > **	pused = `0x0`
	)

Sets a boundary condition at the inner radius of the second outer shell.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the boundary condition.
nused	: number of components of `eq` to be considered. All the components are used of it is -1.
pused	: pointer on the indexes of the components to be considered. Not used of nused = -1 .

Definition at line 33 of file bin_bh_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_bc().

◆ add_eq()

void Kadath::Space_bin_bh::add_eq	(	System_of_eqs &	syst,
		const char *	eq,
		const char *	rac,
		const char *	rac_der,
		int	nused = `-1`,
		Array< int > **	pused = `0x0`
	)

Adds a bulk equation and two matching conditions.

The two nucleii and inner shells are not part of the computational space.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the bulk equation.
rac	: the string describing the first matching condition.
rac_der	: the string describing the second matching condition.
nused	: number of components of `eq` to be considered. All the components are used of it is -1.
pused	: pointer on the indexes of the components to be considered. Not used of nused = -1 .

Definition at line 41 of file bin_bh_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_inside(), Kadath::System_of_eqs::add_eq_matching(), and Kadath::System_of_eqs::add_eq_matching_import().

◆ add_eq_int_inf()

void Kadath::Space_bin_bh::add_eq_int_inf	(	System_of_eqs &	syst,
		const char *	eq
	)

Adds an equation being a surface integral at infinity.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the equation (should contain something like integ(f)=b)

Definition at line 94 of file bin_bh_add_eq.cpp.

References Kadath::Space::domains, Kadath::System_of_eqs::eq_int, Kadath::System_of_eqs::give_ope(), Kadath::System_of_eqs::is_ope_bin(), Kadath::System_of_eqs::nbr_conditions, Kadath::Space::nbr_domains, and Kadath::System_of_eqs::neq_int.

◆ add_eq_int_sphere_one()

void Kadath::Space_bin_bh::add_eq_int_sphere_one	(	System_of_eqs &	syst,
		const char *	eq
	)

Adds an equation being a surface integral on the first sphere.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the equation (should contain something like integ(f)=b)

Definition at line 135 of file bin_bh_add_eq.cpp.

References Kadath::System_of_eqs::eq_int, Kadath::System_of_eqs::give_ope(), Kadath::System_of_eqs::is_ope_bin(), Kadath::System_of_eqs::nbr_conditions, and Kadath::System_of_eqs::neq_int.

◆ add_eq_int_sphere_two()

void Kadath::Space_bin_bh::add_eq_int_sphere_two	(	System_of_eqs &	syst,
		const char *	eq
	)

Adds an equation being a surface integral on the first sphere.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the equation (should contain something like integ(f)=b)

Definition at line 168 of file bin_bh_add_eq.cpp.

References Kadath::System_of_eqs::eq_int, Kadath::System_of_eqs::give_ope(), Kadath::System_of_eqs::is_ope_bin(), Kadath::System_of_eqs::nbr_conditions, and Kadath::System_of_eqs::neq_int.

◆ add_eq_zero_mode_inf()

void Kadath::Space_bin_bh::add_eq_zero_mode_inf	(	System_of_eqs &	syst,
		const char *	f,
		int	jtarget,
		int	ktarget
	)

Adds an equation saying that one coefficient of a field is zero (at infinity)

Parameters

syst	: the `System_of_eqs`.
f	: the field
jtarget	: the index $\theta$ of the mode that must vanished.
ktarget	: the index $\varphi$ of the mode that must vanished.

Definition at line 201 of file bin_bh_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_mode(), Kadath::Space::domains, Kadath::Space::nbr_domains, and Kadath::Index::set().

◆ affecte_coef_to_variable_domains()

void Kadath::Space_bin_bh::affecte_coef_to_variable_domains	(	int &	conte,
		int	cc,
		Array< int > &	doms
	)		const

virtual

The variation of the functions describing the shape of the Domain are affected from the unknowns of the system.

Parameters

conte	: current position if the unknowns.
cc	: position of the unknown to be set.
doms	: Array containing the index of the variable domains present in this space.

Reimplemented from Kadath::Space.

Definition at line 179 of file space_bin_bh.cpp.

References Kadath::Domain::affecte_coef(), Kadath::Space::domains, and Kadath::Array< T >::set().

◆ get_domain()

const Domain* Kadath::Space::get_domain ( int i ) const

inlineinherited

returns a pointer on the domain.

Parameters

i	[input] : the index of the domain.

Definition at line 1385 of file space.hpp.

References Kadath::Space::domains, and Kadath::Space::nbr_domains.

◆ get_indices_matching_non_std()

Array< int > Kadath::Space_bin_bh::get_indices_matching_non_std	(	int	dom,
		int	bound
	)		const

virtual

Gives the number of the other domains, touching a given boundary.

It also gives the name of the boundary, as seen by the other domain.

Parameters

dom	: the domain considered.
bound	: the boundary.

Returns: a 2d-array containing the numbers of the other domains (stored in (0,i)) and the names of the boundary (stored in (1,i)).

Reimplemented from Kadath::Space.

Definition at line 294 of file space_bin_bh.cpp.

References Kadath::Array< T >::set().

◆ get_nbr_domains()

int Kadath::Space::get_nbr_domains ( ) const

inlineinherited

Returns the number of Domains.

Definition at line 1375 of file space.hpp.

References Kadath::Space::nbr_domains.

◆ get_ndim()

int Kadath::Space::get_ndim ( ) const

inlineinherited

Returns the number of dimensions.

Definition at line 1373 of file space.hpp.

References Kadath::Space::ndim.

◆ get_type_base()

int Kadath::Space::get_type_base ( ) const

inlineinherited

Returns the type of basis.

Definition at line 1377 of file space.hpp.

References Kadath::Space::type_base.

◆ nbr_unknowns_from_variable_domains()

int Kadath::Space_bin_bh::nbr_unknowns_from_variable_domains ( ) const

virtual

Gives the number of unknowns coming from the variable shape of the domain.

Reimplemented from Kadath::Space.

Definition at line 174 of file space_bin_bh.cpp.

References Kadath::Space::domains.

◆ save()

void Kadath::Space_bin_bh::save ( FILE * ) const

virtual

Saving function.

Reimplemented from Kadath::Space.

Definition at line 166 of file space_bin_bh.cpp.

References Kadath::Space::domains, Kadath::Space::nbr_domains, Kadath::Space::ndim, and Kadath::Space::type_base.

◆ xx_to_ders_variable_domains()

void Kadath::Space_bin_bh::xx_to_ders_variable_domains	(	const Array< double > &	xx,
		int &	conte
	)		const

virtual

Update the vairable domains from a set of values.

Parameters

xx	: set of values used by the affectation
conte	: current position in the values vector.

Reimplemented from Kadath::Space.

Definition at line 212 of file space_bin_bh.cpp.

References Kadath::Space::domains, and Kadath::Domain::xx_to_ders_from_adapted().

◆ xx_to_vars_variable_domains()

void Kadath::Space_bin_bh::xx_to_vars_variable_domains	(	System_of_eqs *	syst,
		const Array< double > &	xx,
		int &	conte
	)		const

virtual

Update the variables of a system, from the variation of the shape of the domains.

Parameters

syst	: the `System_of_eqs` considered.
xx	: set of values used by the affectation
conte	: current position in the values vector.

Reimplemented from Kadath::Space.

Definition at line 225 of file space_bin_bh.cpp.

References Kadath::System_of_eqs::cst, Kadath::System_of_eqs::dom_max, Kadath::System_of_eqs::dom_min, Kadath::Space::domains, Kadath::System_of_eqs::ncst, Kadath::System_of_eqs::nvar, Kadath::Scalar::set_domain(), Kadath::Domain::update_constante(), Kadath::Domain::update_mapping(), Kadath::Domain::update_variable(), Kadath::System_of_eqs::var, and Kadath::Domain::xx_to_vars_from_adapted().

Member Data Documentation

◆ a_minus

double Kadath::Space_bin_bh::a_minus

protected

X-absolute coordinate of the center of the first sphere.

Definition at line 38 of file bin_bh.hpp.

◆ a_plus

double Kadath::Space_bin_bh::a_plus

protected

X-absolute coordinate of the center of the second sphere.

Definition at line 39 of file bin_bh.hpp.

◆ domains

Domain** Kadath::Space::domains

protectedinherited

Pointers on the various Domains.

Definition at line 1368 of file space.hpp.

◆ nbr_domains

int Kadath::Space::nbr_domains

protectedinherited

Number od Domains.

Definition at line 1365 of file space.hpp.

◆ ndim

int Kadath::Space::ndim

protectedinherited

Number of dimensions (should be the same for all the Domains).

Definition at line 1366 of file space.hpp.

◆ type_base

int Kadath::Space::type_base

protectedinherited

Type of basis used (i.e. using either Chebyshev or Legendre polynomials).

Definition at line 1367 of file space.hpp.

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

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Space_bin_bh() [1/2]

◆ Space_bin_bh() [2/2]

◆ ~Space_bin_bh()

Member Function Documentation

◆ add_bc_outer()

◆ add_bc_sphere_one()

◆ add_bc_sphere_two()

◆ add_eq()

◆ add_eq_int_inf()

◆ add_eq_int_sphere_one()

◆ add_eq_int_sphere_two()

◆ add_eq_zero_mode_inf()

◆ affecte_coef_to_variable_domains()

◆ get_domain()

◆ get_indices_matching_non_std()

◆ get_nbr_domains()

◆ get_ndim()

◆ get_type_base()

◆ nbr_unknowns_from_variable_domains()

◆ save()

◆ xx_to_ders_variable_domains()

◆ xx_to_vars_variable_domains()

Member Data Documentation

◆ a_minus

◆ a_plus

◆ domains

◆ nbr_domains

◆ ndim

◆ type_base