Spacetime intended for binary neutron stars configurations (see constructor for details about the domains used) More...

#include <bin_ns.hpp>

Inheritance diagram for Kadath::Space_bin_ns:

Public Member Functions
	Space_bin_ns (int ttype, double dist, double rinstar1, double rstar1, double routstar1, double rinstar2, double rstar2, double routstar2, double rext, int nr)
	Standard constructor ; stars are initial spherical. More...

	Space_bin_ns (int ttype, double dist, double rinstar1, double rstar1, double routstar1, double rinstar2, double rstar2, double routstar2, double rext, double rshell, int nr)
	Constructor with an outer shell surrounding the bispheric region; stars are initial spherical. More...

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

virtual	~Space_bin_ns ()
	Destructor. More...

virtual void	save (FILE *) const
	Saving function. 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_eq_nozec (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_eq_nozec (System_of_eqs &syst, const char eq, const char rac, const char *rac_der, const List_comp &used)
	Adds a bulk equation and two matching conditions. More...

void	add_eq_noshell (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_eq_noshell (System_of_eqs &syst, const char eq, const char rac, const char *rac_der, const List_comp &used)
	Adds a bulk equation and two matching conditions. 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_int_inf (System_of_eqs &syst, const char *eq)
	Adds an equation being a surface integral at infinity. More...

void	add_eq_ori_one (System_of_eqs &syst, const char *eq)
	Adds an equation being the value of some field at the origin of the first nucleus. More...

void	add_eq_ori_two (System_of_eqs &syst, const char *eq)
	Adds an equation being the value of some field at the origin of the first nucleus. 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
int	nshells
	Number of outer shells. 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 neutron stars configurations (see constructor for details about the domains used)

Definition at line 35 of file bin_ns.hpp.

Constructor & Destructor Documentation

◆ Space_bin_ns() [1/3]

Kadath::Space_bin_ns::Space_bin_ns	(	int	ttype,
		double	dist,
		double	rinstar1,
		double	rstar1,
		double	routstar1,
		double	rinstar2,
		double	rstar2,
		double	routstar2,
		double	rext,
		int	nr
	)

Standard constructor ; stars are initial spherical.

Parameters

ttype	[input] : the type of basis.
dist	[input] : distance between the centers of the two spheres.
rinstar1	[input] : radius the first nucleus (inside the star).
rstar1	[input] : radius the first shell with variable outer surface (inside the star).
routstar1	[input] : radius the first shell with variable inner surface (outide the star).
rinstar2	[input] : radius the second nucleus (inside the star).
rstar2	[input] : radius the second shell with variable outer surface (inside the star).
routstar2	[input] : radius the second shell with variable inner surface (outide the star).
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 rinstar1, centered at .
One Domain_shell_outer_adapted centered at .
One Domain_shell_inner_homothetic centered at .
One Domain_nucleus, of radius rinstar2, centered at .
One Domain_shell_outer_adapted centered at .
One Domain_shell_inner_homothetic 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 44 of file space_bin_ns.cpp.

References Kadath::Param::add_double(), Kadath::Space::domains, Kadath::Space::nbr_domains, Kadath::Space::ndim, nshells, 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_ns() [2/3]

Kadath::Space_bin_ns::Space_bin_ns	(	int	ttype,
		double	dist,
		double	rinstar1,
		double	rstar1,
		double	routstar1,
		double	rinstar2,
		double	rstar2,
		double	routstar2,
		double	rext,
		double	rshell,
		int	nr
	)

Constructor with an outer shell surrounding the bispheric region; stars are initial spherical.

Parameters

ttype	[input] : the type of basis.
dist	[input] : distance between the centers of the two spheres.
rinstar1	[input] : radius the first nucleus (inside the star).
rstar1	[input] : radius the first shell with variable outer surface (inside the star).
routstar1	[input] : radius the first shell with variable inner surface (outide the star).
rinstar2	[input] : radius the second nucleus (inside the star).
rstar2	[input] : radius the second shell with variable outer surface (inside the star).
routstar2	[input] : radius the second shell with variable inner surface (outide the star).
rext	[input] : outer radius the bispherical part.
rshell	[input] : outer radius the outer shell.
nr	[input] : number of points in each dimension

The various domains are then :

One Domain_nucleus, of radius rinstar1, centered at .
One Domain_shell_outer_adapted centered at .
One Domain_shell_inner_homothetic centered at .
One Domain_nucleus, of radius rinstar2, centered at .
One Domain_shell_outer_adapted centered at .
One Domain_shell_inner_homothetic 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_shell centered on the origin
One Domain_compact centered on the origin, with inner radius .

Definition at line 118 of file space_bin_ns.cpp.

References Kadath::Param::add_double(), Kadath::Space::domains, Kadath::Space::nbr_domains, Kadath::Space::ndim, nshells, 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_ns() [3/3]

Kadath::Space_bin_ns::Space_bin_ns ( FILE * fd )

Constructor from a file.

Definition at line 195 of file space_bin_ns.cpp.

References Kadath::Space::domains, Kadath::Space::nbr_domains, Kadath::Space::ndim, nshells, 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_ns()

Kadath::Space_bin_ns::~Space_bin_ns ( )

virtual

Destructor.

Definition at line 241 of file space_bin_ns.cpp.

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

Member Function Documentation

◆ add_eq()

void Kadath::Space_bin_ns::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.

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 30 of file bin_ns_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_ns::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 230 of file bin_ns_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_noshell() [1/2]

void Kadath::Space_bin_ns::add_eq_noshell	(	System_of_eqs &	syst,
		const char *	eq,
		const char *	rac,
		const char *	rac_der,
		const List_comp &	used
	)

Adds a bulk equation and two matching conditions.

The outer shells are excluded from 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.
used	: list of components used

Definition at line 226 of file bin_ns_add_eq.cpp.

References add_eq_noshell(), Kadath::List_comp::get_ncomp(), and Kadath::List_comp::get_pcomp().

◆ add_eq_noshell() [2/2]

void Kadath::Space_bin_ns::add_eq_noshell	(	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 outer shells are excluded from 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 170 of file bin_ns_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_nozec() [1/2]

void Kadath::Space_bin_ns::add_eq_nozec	(	System_of_eqs &	syst,
		const char *	eq,
		const char *	rac,
		const char *	rac_der,
		const List_comp &	used
	)

Adds a bulk equation and two matching conditions.

The compactified domain is excluded from 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.
used	: list of components used

Definition at line 166 of file bin_ns_add_eq.cpp.

References add_eq_nozec(), Kadath::List_comp::get_ncomp(), and Kadath::List_comp::get_pcomp().

◆ add_eq_nozec() [2/2]

void Kadath::Space_bin_ns::add_eq_nozec	(	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 compactified domain is excluded from 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 95 of file bin_ns_add_eq.cpp.

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

◆ add_eq_ori_one()

void Kadath::Space_bin_ns::add_eq_ori_one	(	System_of_eqs &	syst,
		const char *	eq
	)

Adds an equation being the value of some field at the origin of the first nucleus.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the quantity that must be zero at the origin

Definition at line 268 of file bin_ns_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_val(), and Kadath::Space::domains.

◆ add_eq_ori_two()

void Kadath::Space_bin_ns::add_eq_ori_two	(	System_of_eqs &	syst,
		const char *	eq
	)

Adds an equation being the value of some field at the origin of the first nucleus.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the quantity that must be zero at the origin

Definition at line 276 of file bin_ns_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_val(), and Kadath::Space::domains.

◆ affecte_coef_to_variable_domains()

void Kadath::Space_bin_ns::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 265 of file space_bin_ns.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_ns::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 381 of file space_bin_ns.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_ns::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 260 of file space_bin_ns.cpp.

References Kadath::Space::domains.

◆ save()

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

virtual

Saving function.

Reimplemented from Kadath::Space.

Definition at line 252 of file space_bin_ns.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_ns::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 298 of file space_bin_ns.cpp.

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

◆ xx_to_vars_variable_domains()

void Kadath::Space_bin_ns::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 312 of file space_bin_ns.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

◆ 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.

◆ nshells

int Kadath::Space_bin_ns::nshells

protected

Number of outer shells.

Definition at line 38 of file bin_ns.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_ns() [1/3]

◆ Space_bin_ns() [2/3]

◆ Space_bin_ns() [3/3]

◆ ~Space_bin_ns()

Member Function Documentation

◆ add_eq()

◆ add_eq_int_inf()

◆ add_eq_noshell() [1/2]

◆ add_eq_noshell() [2/2]

◆ add_eq_nozec() [1/2]

◆ add_eq_nozec() [2/2]

◆ add_eq_ori_one()

◆ add_eq_ori_two()

◆ 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

◆ domains

◆ nbr_domains

◆ ndim

◆ nshells

◆ type_base