Circular sector as domain. Domain is bounded by curved boundary which is represented by a GeomObject. Domain is parametrised by three macro elements. More...

#include <quarter_circle_sector_domain.h>

Inheritance diagram for oomph::QuarterCircleSectorDomain:

Public Types
typedef double(*	BLSquashFctPt) (const double &s)
	Typedef for function pointer for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value. More...

Public Member Functions
	QuarterCircleSectorDomain (GeomObject *boundary_geom_object_pt, const double &xi_lo, const double &fract_mid, const double &xi_hi)
	Constructor: Pass boundary object and start and end coordinates and fraction along boundary object where outer ring is divided. More...

	QuarterCircleSectorDomain (const QuarterCircleSectorDomain &)=delete
	Broken copy constructor. More...

void	operator= (const QuarterCircleSectorDomain &)=delete
	Broken assignment operator. More...

	~QuarterCircleSectorDomain ()
	Destructor: empty; cleanup done in base class. More...

BLSquashFctPt &	bl_squash_fct_pt ()
	Function pointer for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value. More...

double	s_squashed (const double &s)
	Function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value. More...

void	macro_element_boundary (const unsigned &t, const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary i_direct (N/S/W/E) at time level t (t=0: present; t>0: previous): f(s). Note that the local coordinate s is a 1D Vector rather than a scalar – this is unavoidable because this function implements the pure virtual function in the Domain base class. More...

Public Member Functions inherited from oomph::Domain
	Domain ()
	Constructor. More...

	Domain (const Domain &)=delete
	Broken copy constructor. More...

void	operator= (const Domain &)=delete
	Broken assignment operator. More...

virtual	~Domain ()
	Destructor: Strictly speaking, whoever creates an object dynamically should be responsible for the cleanup of said object but it makes sense here for the Domain to generically kill any MacroElements left over in the MacroElement container (if it hasn't already been done in the derived class) to avoid memory leaks. More...

MacroElement *	macro_element_pt (const unsigned &i)
	Access to i-th macro element. More...

unsigned	nmacro_element ()
	Number of macro elements in domain. More...

void	output (const std::string &filename, const unsigned &nplot)
	Output macro elements. More...

void	output (std::ostream &outfile, const unsigned &nplot)
	Output macro elements. More...

virtual void	macro_element_boundary (const double &t, const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary i_direct (e.g. N/S/W/E in 2D) at continuous time, t. More...

void	macro_element_boundary (const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary i_direct (e.g. N/S/W/E in 2D) at current time: f(s). More...

void	output_macro_element_boundaries (const std::string &filename, const unsigned &nplot)
	Output all macro element boundaries as tecplot zones. More...

void	output_macro_element_boundaries (std::ostream &outfile, const unsigned &nplot)
	Output all macro element boundaries as tecplot zones. More...

virtual void	dmacro_element_boundary (const unsigned &t, const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary derivatives i_direct (e.g. N/S/W/E in 2D) at time level t (t=0: present; t>0: previous): f(s). Broken virtual. More...

virtual void	dmacro_element_boundary (const double &t, const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary derivatives i_direct (e.g. N/S/W/E in 2D) at continuous time level t. Broken virtual. More...

void	dmacro_element_boundary (const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary derivatives i_direct (e.g. N/S/W/E in 2D) at current time: f(s). More...

virtual void	d2macro_element_boundary (const unsigned &t, const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary second derivatives i_direct (e.g. N/S/W/E in 2D) at time level t (t=0: present; t>0: previous): f(s). Broken virtual. More...

virtual void	d2macro_element_boundary (const double &t, const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary seocond derivatives i_direct (e.g. N/S/W/E in 2D) at continuous time level t. Broken virtual. More...

void	d2macro_element_boundary (const unsigned &i_macro, const unsigned &i_direct, const Vector< double > &s, Vector< double > &f)
	Vector representation of the i_macro-th macro element boundary second derivatives i_direct (e.g. N/S/W/E in 2D) at current time: f(s). More...

Private Member Functions
void	r_top_left_N (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of top left macro element zeta $\in [-1,1]$ . More...

void	r_top_left_W (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of top left macro element zeta $\in [-1,1]$ . More...

void	r_top_left_S (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of top left macro element zeta $\in [-1,1]$ . More...

void	r_top_left_E (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of top left macro element zeta $\in [-1,1]$ . More...

void	r_bot_right_N (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of bottom right macro element zeta $\in [-1,1]$ . More...

void	r_bot_right_W (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of bottom right macro element zeta $\in [-1,1]$ . More...

void	r_bot_right_S (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of bottom right macro element zeta $\in [-1,1]$ . More...

void	r_bot_right_E (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of bottom right macro element zeta $\in [-1,1]$ . More...

void	r_centr_N (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of central box macro element zeta $\in [-1,1]$ . More...

void	r_centr_E (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of central box macro element zeta $\in [-1,1]$ . More...

void	r_centr_S (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of central box macro element zeta $\in [-1,1]$ . More...

void	r_centr_W (const unsigned &t, const Vector< double > &zeta, Vector< double > &f)
	Boundary of central box macro element zeta $\in [-1,1]$ . More...

Static Private Member Functions
static double	default_BL_squash_fct (const double &s)
	Default for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value: Identity. More...

Private Attributes
double	Xi_lo
	Lower limit for the (1D) coordinates along the wall. More...

double	Fract_mid
	Fraction along wall where outer ring is to be divided. More...

double	Xi_hi
	Upper limit for the (1D) coordinates along the wall. More...

GeomObject *	Wall_pt
	Pointer to geometric object that represents the curved wall. More...

BLSquashFctPt	BL_squash_fct_pt
	Function pointer for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value. More...

Additional Inherited Members
Protected Attributes inherited from oomph::Domain
Vector< MacroElement * >	Macro_element_pt
	Vector of pointers to macro elements. More...

Detailed Description

Circular sector as domain. Domain is bounded by curved boundary which is represented by a GeomObject. Domain is parametrised by three macro elements.

Definition at line 42 of file quarter_circle_sector_domain.h.

Member Typedef Documentation

◆ BLSquashFctPt

typedef double(* oomph::QuarterCircleSectorDomain::BLSquashFctPt) (const double &s)

Typedef for function pointer for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value.

Definition at line 84 of file quarter_circle_sector_domain.h.

Constructor & Destructor Documentation

◆ QuarterCircleSectorDomain() [1/2]

oomph::QuarterCircleSectorDomain::QuarterCircleSectorDomain	(	GeomObject *	boundary_geom_object_pt,
		const double &	xi_lo,
		const double &	fract_mid,
		const double &	xi_hi
	)

inline

Constructor: Pass boundary object and start and end coordinates and fraction along boundary object where outer ring is divided.

Definition at line 47 of file quarter_circle_sector_domain.h.

References i, and oomph::Domain::Macro_element_pt.

◆ QuarterCircleSectorDomain() [2/2]

oomph::QuarterCircleSectorDomain::QuarterCircleSectorDomain ( const QuarterCircleSectorDomain & )

delete

Broken copy constructor.

◆ ~QuarterCircleSectorDomain()

oomph::QuarterCircleSectorDomain::~QuarterCircleSectorDomain ( )

inline

Destructor: empty; cleanup done in base class.

Definition at line 78 of file quarter_circle_sector_domain.h.

Member Function Documentation

◆ bl_squash_fct_pt()

BLSquashFctPt& oomph::QuarterCircleSectorDomain::bl_squash_fct_pt ( )

inline

Function pointer for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value.

Definition at line 91 of file quarter_circle_sector_domain.h.

References BL_squash_fct_pt.

Referenced by oomph::QuarterCircleSectorMesh< ELEMENT >::bl_squash_fct_pt().

◆ default_BL_squash_fct()

static double oomph::QuarterCircleSectorDomain::default_BL_squash_fct ( const double & s )

inlinestaticprivate

Default for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value: Identity.

Definition at line 142 of file quarter_circle_sector_domain.h.

References s.

◆ macro_element_boundary()

void oomph::QuarterCircleSectorDomain::macro_element_boundary	(	const unsigned &	t,
		const unsigned &	imacro,
		const unsigned &	idirect,
		const Vector< double > &	s,
		Vector< double > &	f
	)

virtual

Vector representation of the i_macro-th macro element boundary i_direct (N/S/W/E) at time level t (t=0: present; t>0: previous): f(s). Note that the local coordinate s is a 1D Vector rather than a scalar – this is unavoidable because this function implements the pure virtual function in the Domain base class.

////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////

Vector representation of the imacro-th macro element boundary idirect (N/S/W/E) at time level t (t=0: present; t>0: previous): f(s)

Implements oomph::Domain.

Definition at line 219 of file quarter_circle_sector_domain.h.

References oomph::QuadTreeNames::E, oomph::QuadTreeNames::N, r_bot_right_E(), r_bot_right_N(), r_bot_right_S(), r_bot_right_W(), r_centr_E(), r_centr_N(), r_centr_S(), r_centr_W(), r_top_left_E(), r_top_left_N(), r_top_left_S(), r_top_left_W(), s, oomph::QuadTreeNames::S, t, and oomph::QuadTreeNames::W.

◆ operator=()

void oomph::QuarterCircleSectorDomain::operator= ( const QuarterCircleSectorDomain & )

delete

Broken assignment operator.

◆ r_bot_right_E()

void oomph::QuarterCircleSectorDomain::r_bot_right_E	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of bottom right macro element zeta $\in [-1,1]$ .

Eastern edge of bottom right macro element.

Definition at line 505 of file quarter_circle_sector_domain.h.

References Fract_mid, oomph::GeomObject::position(), s, t, Wall_pt, Xi_hi, and Xi_lo.

Referenced by macro_element_boundary().

◆ r_bot_right_N()

void oomph::QuarterCircleSectorDomain::r_bot_right_N	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of bottom right macro element zeta $\in [-1,1]$ .

Northern edge of bottom right macro element.

Definition at line 451 of file quarter_circle_sector_domain.h.

References r_top_left_E(), s, and t.

Referenced by macro_element_boundary().

◆ r_bot_right_S()

void oomph::QuarterCircleSectorDomain::r_bot_right_S	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of bottom right macro element zeta $\in [-1,1]$ .

Southern edge of bottom right macro element.

Definition at line 486 of file quarter_circle_sector_domain.h.

References oomph::GeomObject::position(), s, s_squashed(), t, Wall_pt, and Xi_lo.

Referenced by macro_element_boundary().

◆ r_bot_right_W()

void oomph::QuarterCircleSectorDomain::r_bot_right_W	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of bottom right macro element zeta $\in [-1,1]$ .

Western edge of bottom right macro element.

Definition at line 461 of file quarter_circle_sector_domain.h.

References oomph::GeomObject::position(), s, t, Wall_pt, Xi_hi, and Xi_lo.

Referenced by macro_element_boundary(), and r_centr_E().

◆ r_centr_E()

void oomph::QuarterCircleSectorDomain::r_centr_E	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of central box macro element zeta $\in [-1,1]$ .

Eastern edge of central box.

Definition at line 532 of file quarter_circle_sector_domain.h.

References r_bot_right_W(), s, and t.

Referenced by macro_element_boundary().

◆ r_centr_N()

void oomph::QuarterCircleSectorDomain::r_centr_N	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of central box macro element zeta $\in [-1,1]$ .

Northern edge of central box.

Definition at line 521 of file quarter_circle_sector_domain.h.

References r_top_left_S(), s, and t.

Referenced by macro_element_boundary().

◆ r_centr_S()

void oomph::QuarterCircleSectorDomain::r_centr_S	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of central box macro element zeta $\in [-1,1]$ .

Southern edge of central box.

Definition at line 543 of file quarter_circle_sector_domain.h.

References oomph::GeomObject::position(), s, t, Wall_pt, and Xi_lo.

Referenced by macro_element_boundary().

◆ r_centr_W()

void oomph::QuarterCircleSectorDomain::r_centr_W	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of central box macro element zeta $\in [-1,1]$ .

Western edge of central box.

Definition at line 562 of file quarter_circle_sector_domain.h.

References oomph::GeomObject::position(), s, t, Wall_pt, and Xi_hi.

Referenced by macro_element_boundary().

◆ r_top_left_E()

void oomph::QuarterCircleSectorDomain::r_top_left_E	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of top left macro element zeta $\in [-1,1]$ .

Eastern edge of top left macro element $s \in [-1,1]$ .

Definition at line 417 of file quarter_circle_sector_domain.h.

References Fract_mid, oomph::GeomObject::position(), s, s_squashed(), t, Wall_pt, Xi_hi, and Xi_lo.

Referenced by macro_element_boundary(), and r_bot_right_N().

◆ r_top_left_N()

void oomph::QuarterCircleSectorDomain::r_top_left_N	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of top left macro element zeta $\in [-1,1]$ .

Northern edge of top left macro element $s \in [-1,1]$ .

Definition at line 354 of file quarter_circle_sector_domain.h.

References Fract_mid, oomph::GeomObject::position(), s, t, Wall_pt, Xi_hi, and Xi_lo.

Referenced by macro_element_boundary().

◆ r_top_left_S()

void oomph::QuarterCircleSectorDomain::r_top_left_S	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of top left macro element zeta $\in [-1,1]$ .

Southern edge of top left macro element $s \in [-1,1]$ .

Definition at line 390 of file quarter_circle_sector_domain.h.

References oomph::GeomObject::position(), s, t, Wall_pt, and Xi_hi.

Referenced by macro_element_boundary(), and r_centr_N().

◆ r_top_left_W()

void oomph::QuarterCircleSectorDomain::r_top_left_W	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	f
	)

private

Boundary of top left macro element zeta $\in [-1,1]$ .

Western edge of top left macro element $s \in [-1,1]$ .

Definition at line 370 of file quarter_circle_sector_domain.h.

References oomph::GeomObject::position(), s, s_squashed(), t, Wall_pt, and Xi_hi.

Referenced by macro_element_boundary().

◆ s_squashed()

double oomph::QuarterCircleSectorDomain::s_squashed ( const double & s )

inline

Function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value.

Definition at line 100 of file quarter_circle_sector_domain.h.

References BL_squash_fct_pt, and s.

Referenced by r_bot_right_S(), r_top_left_E(), and r_top_left_W().

Member Data Documentation

◆ BL_squash_fct_pt

BLSquashFctPt oomph::QuarterCircleSectorDomain::BL_squash_fct_pt

private

Function pointer for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value.

Definition at line 136 of file quarter_circle_sector_domain.h.

Referenced by bl_squash_fct_pt(), and s_squashed().