The Space_polar class fills the space with one polar nucleus, several polar shells and a compactified polar domain, all centered on the same point. More...

#include <polar.hpp>

Inheritance diagram for Kadath::Space_polar:

Public Member Functions
	Space_polar (int ttype, const Point &cr, const Dim_array &nbr, const Array< double > &bounds)
	Standard constructor. More...

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

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

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

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

void	add_eq (System_of_eqs &syst, const char eq, int nused=-1, Array< int > *pused=0x0) const
	Adds a bulk equation in all the domains of a given system (equation is assumed to be second order) More...

void	add_eq_full (System_of_eqs &syst, const char eq, int nused=-1, Array< int > *pused=0x0) const
	Adds a bulk equation in all the domains of a given system (equation is assumed to be 0th order) More...

void	add_matching (System_of_eqs &syst, const char eq, int nused=-1, Array< int > *pused=0x0) const
	Adds a matching condition, at all the interface present in a given system. 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) const
	Adds a bulk equation and two matching conditions. More...

void	add_eq_int_volume (System_of_eqs &syst, const char *eq)
	Adds an equation being a volume integral in the whole computational space. 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_inner (System_of_eqs &syst, const char *eq)
	Adds an equation being a surface integral in the innermost shell. More...

void	add_eq_mode (System_of_eqs &syst, const char *f, int domtarget, int itarget, int jtarget)
	Adds an equation saying that one coefficient of a field is zero in a given domain. More...

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

void	add_eq_point (System_of_eqs &syst, const Point &pp, const char *eq)
	Adds an equation being the value of some field at a given point. More...

double	int_inf (const Scalar &so) const
	Computes the surface integral 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...

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 &conte, int cc, Array< int > &doms) 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 > &xx, int &conte) const
	Update the vairable domains from a set of values. More...

virtual void	xx_to_vars_variable_domains (System_of_eqs *syst, const Array< double > &xx, int &conte) 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...

Protected Attributes
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

The Space_polar class fills the space with one polar nucleus, several polar shells and a compactified polar domain, all centered on the same point.

Definition at line 575 of file polar.hpp.

Constructor & Destructor Documentation

◆ Space_polar() [1/2]

Kadath::Space_polar::Space_polar	(	int	ttype,
		const Point &	cr,
		const Dim_array &	nbr,
		const Array< double > &	bounds
	)

Standard constructor.

Parameters

ttype	[input] : the type of basis.
cr	[input] : absolute coordinates of the center.
nbr	[input] : number of points in each domain.
bounds	[input] : radii of the various shells (and also determines the total number of domains).

Definition at line 27 of file space_polar.cpp.

References Kadath::Space::domains, Kadath::Array< T >::get_ndim(), Kadath::Array< T >::get_size(), Kadath::Space::nbr_domains, Kadath::Space::ndim, and Kadath::Space::type_base.

◆ Space_polar() [2/2]

Kadath::Space_polar::Space_polar ( FILE * fd )

Constructor from a file.

Definition at line 45 of file space_polar.cpp.

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

Member Function Documentation

◆ add_eq() [1/2]

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

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 50 of file polar_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_inside(), Kadath::System_of_eqs::add_eq_matching(), Kadath::System_of_eqs::get_dom_max(), and Kadath::System_of_eqs::get_dom_min().

◆ add_eq() [2/2]

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

Adds a bulk equation in all the domains of a given system (equation is assumed to be second order)

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the equation.
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 35 of file polar_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_inside(), Kadath::System_of_eqs::get_dom_max(), and Kadath::System_of_eqs::get_dom_min().

◆ add_eq_full()

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

Adds a bulk equation in all the domains of a given system (equation is assumed to be 0th order)

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the equations.
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 40 of file polar_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_full(), Kadath::System_of_eqs::get_dom_max(), and Kadath::System_of_eqs::get_dom_min().

◆ add_eq_int_inf()

void Kadath::Space_polar::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 84 of file polar_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_inner()

void Kadath::Space_polar::add_eq_int_inner	(	System_of_eqs &	syst,
		const char *	eq
	)

Adds an equation being a surface integral in the innermost shell.

Parameters

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

Definition at line 122 of file polar_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, and Kadath::System_of_eqs::neq_int.

◆ add_eq_int_volume()

void Kadath::Space_polar::add_eq_int_volume	(	System_of_eqs &	syst,
		const char *	eq
	)

Adds an equation being a volume integral in the whole computational space.

Parameters

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

Definition at line 59 of file polar_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, Kadath::Space::nbr_domains, and Kadath::System_of_eqs::neq_int.

◆ add_eq_mode()

void Kadath::Space_polar::add_eq_mode	(	System_of_eqs &	syst,
		const char *	f,
		int	domtarget,
		int	itarget,
		int	jtarget
	)

Adds an equation saying that one coefficient of a field is zero in a given domain.

Parameters

syst	: the `System_of_eqs`.
f	: the field
domtarget	: the target domain.
itarget	: the index of the mode that must vanish.
jtarget	: the index $\theta$ of the mode that must vanish.

Definition at line 161 of file polar_add_eq.cpp.

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

◆ add_eq_ori()

void Kadath::Space_polar::add_eq_ori	(	System_of_eqs &	syst,
		const char *	eq
	)

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

Parameters

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

Definition at line 172 of file polar_add_eq.cpp.

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

◆ add_eq_point()

void Kadath::Space_polar::add_eq_point	(	System_of_eqs &	syst,
		const Point &	pp,
		const char *	eq
	)

Adds an equation being the value of some field at a given point.

Parameters

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

Definition at line 180 of file polar_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_point(), Kadath::Space::get_domain(), Kadath::Domain::is_in(), and Kadath::Space::nbr_domains.

◆ add_inner_bc()

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

Sets a boundary condition at the inner radius of the innermost polar shell.

Intended for systems where the nucleus is not used.

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 26 of file polar_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_bc(), and Kadath::System_of_eqs::get_dom_min().

◆ add_matching()

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

Adds a matching condition, at all the interface present in a given system.

Parameters

syst	: the `System_of_eqs`.
eq	: the string describing the 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 45 of file polar_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_matching(), Kadath::System_of_eqs::get_dom_max(), and Kadath::System_of_eqs::get_dom_min().

◆ add_outer_bc()

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

Sets a boundary condition at the outer radius of the compactified polar domain.

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 31 of file polar_add_eq.cpp.

References Kadath::System_of_eqs::add_eq_bc(), and Kadath::System_of_eqs::get_dom_max().

◆ affecte_coef_to_variable_domains()

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

inlinevirtualinherited

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 in Kadath::Space_bin_ns, Kadath::Space_bin_bh, Kadath::Space_bbh, Kadath::Space_polar_adapted, Kadath::Space_adapted_bh, and Kadath::Space_spheric_adapted.

Definition at line 1401 of file space.hpp.

◆ 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::get_indices_matching_non_std	(	int	dom,
		int	bound
	)		const

virtualinherited

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 in Kadath::Space_spheric, Kadath::Space_critic, Kadath::Space_bispheric, Kadath::Space_spheric_adapted, Kadath::Space_bin_ns, Kadath::Space_bin_fake, Kadath::Space_bin_bh, and Kadath::Space_bbh.

Definition at line 66 of file space.cpp.

◆ 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.

◆ int_inf()

double Kadath::Space_polar::int_inf ( const Scalar & so ) const

Computes the surface integral at infinity.

Parameters

so	: the field to be integrated.

Returns: the surface integral.

Definition at line 71 of file space_polar.cpp.

References Kadath::Space::domains, Kadath::Domain_polar_compact::integ(), and Kadath::Space::nbr_domains.

◆ nbr_unknowns_from_variable_domains()

virtual int Kadath::Space::nbr_unknowns_from_variable_domains ( ) const

inlinevirtualinherited

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

Reimplemented in Kadath::Space_bin_ns, Kadath::Space_bin_bh, Kadath::Space_bbh, Kadath::Space_polar_adapted, Kadath::Space_adapted_bh, and Kadath::Space_spheric_adapted.

Definition at line 1394 of file space.hpp.

◆ save()

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

virtual

Saving function.

Reimplemented from Kadath::Space.

Definition at line 62 of file space_polar.cpp.

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

◆ xx_to_ders_variable_domains()

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

inlinevirtualinherited

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 in Kadath::Space_bin_ns, Kadath::Space_bin_bh, Kadath::Space_bbh, Kadath::Space_polar_adapted, Kadath::Space_adapted_bh, and Kadath::Space_spheric_adapted.

Definition at line 1407 of file space.hpp.

◆ xx_to_vars_variable_domains()

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

inlinevirtualinherited

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 in Kadath::Space_bin_ns, Kadath::Space_bin_bh, Kadath::Space_bbh, Kadath::Space_polar_adapted, Kadath::Space_adapted_bh, and Kadath::Space_spheric_adapted.

Definition at line 1414 of file space.hpp.

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.

◆ 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_polar() [1/2]

◆ Space_polar() [2/2]

Member Function Documentation

◆ add_eq() [1/2]

◆ add_eq() [2/2]

◆ add_eq_full()

◆ add_eq_int_inf()

◆ add_eq_int_inner()

◆ add_eq_int_volume()

◆ add_eq_mode()

◆ add_eq_ori()

◆ add_eq_point()

◆ add_inner_bc()

◆ add_matching()

◆ add_outer_bc()

◆ affecte_coef_to_variable_domains()

◆ get_domain()

◆ get_indices_matching_non_std()

◆ get_nbr_domains()

◆ get_ndim()

◆ get_type_base()

◆ int_inf()

◆ nbr_unknowns_from_variable_domains()

◆ save()

◆ xx_to_ders_variable_domains()

◆ xx_to_vars_variable_domains()

Member Data Documentation

◆ domains

◆ nbr_domains

◆ ndim

◆ type_base