Circle in 2D space.

$x = X_c + R \cos(\zeta)$

$y = Y_c + R \sin(\zeta)$

#include <geom_objects.h>

Inheritance diagram for oomph::Circle:

Public Member Functions
	Circle (const double &x_c, const double &y_c, const double &r)
	Constructor: Pass x and y-coords of centre and radius (all pinned) More...

	Circle (const double &x_c, const double &y_c, const double &r, TimeStepper *time_stepper_pt)
	Constructor: Pass x and y-coords of centre and radius (all pinned) Circle is static but can be used in time-dependent runs with specified timestepper. More...

	Circle (const Vector< Data *> &geom_data_pt)
	Constructor: Pass x and y-coords of centre and radius (all as Data) More...

	Circle (const Circle &dummy)
	Broken copy constructor. More...

void	operator= (const Circle &)
	Broken assignment operator. More...

virtual	~Circle ()
	Destructor: Clean up if necessary. More...

void	position (const Vector< double > &zeta, Vector< double > &r) const
	Position Vector at Lagrangian coordinate zeta. More...

void	position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const
	Parametrised position on object: r(zeta). Evaluated at previous timestep. t=0: current time; t>0: previous timestep. More...

double &	x_c ()
	Access function to x-coordinate of centre of circle. More...

double &	y_c ()
	Access function to y-coordinate of centre of circle. More...

double &	R ()
	Access function to radius of circle. More...

unsigned	ngeom_data () const
	How many items of Data does the shape of the object depend on? More...

Data *	geom_data_pt (const unsigned &j)
	Return pointer to the j-th Data item that the object's shape depends on. More...

Public Member Functions inherited from oomph::GeomObject
	GeomObject ()
	Default constructor. More...

	GeomObject (const unsigned &ndim)
	Constructor: Pass dimension of geometric object (# of Eulerian coords = # of Lagrangian coords; no time history available/needed) More...

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim)
	Constructor: pass # of Eulerian and Lagrangian coordinates. No time history available/needed. More...

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt)
	Constructor: pass # of Eulerian and Lagrangian coordinates and pointer to time-stepper which is used to handle the position at previous timesteps and allows the evaluation of veloc/acceleration etc. in cases where the GeomData varies with time. More...

	GeomObject (const GeomObject &dummy)
	Broken copy constructor. More...

void	operator= (const GeomObject &)
	Broken assignment operator. More...

virtual	~GeomObject ()
	(Empty) destructor More...

unsigned	nlagrangian () const
	Access function to # of Lagrangian coordinates. More...

unsigned	ndim () const
	Access function to # of Eulerian coordinates. More...

void	set_nlagrangian_and_ndim (const unsigned &n_lagrangian, const unsigned &n_dim)
	Set # of Lagrangian and Eulerian coordinates. More...

TimeStepper *&	time_stepper_pt ()
	Access function for pointer to time stepper: Null if object is not time-dependent. More...

TimeStepper *	time_stepper_pt () const
	Access function for pointer to time stepper: Null if object is not time-dependent. Const version. More...

virtual void	dposition_dt (const Vector< double > &zeta, const unsigned &j, Vector< double > &drdt)
	j-th time-derivative on object at current time: $\frac{d^{j} r(\zeta)}{dt^j}$ . More...

virtual void	dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const
	Derivative of position Vector w.r.t. to coordinates: $\frac{dR_i}{d \zeta_\alpha}$ = drdzeta(alpha,i). Evaluated at current time. More...

virtual void	d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const
	2nd derivative of position Vector w.r.t. to coordinates: $\frac{d^2R_i}{d \zeta_\alpha d \zeta_\beta}$ = ddrdzeta(alpha,beta,i). Evaluated at current time. More...

virtual void	d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const
	Posn Vector and its 1st & 2nd derivatives w.r.t. to coordinates: $\frac{dR_i}{d \zeta_\alpha}$ = drdzeta(alpha,i). $\frac{d^2R_i}{d \zeta_\alpha d \zeta_\beta}$ = ddrdzeta(alpha,beta,i). Evaluated at current time. More...

virtual void	locate_zeta (const Vector< double > &zeta, GeomObject *&sub_geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)
	A geometric object may be composed of may sub-objects (e.g. a finite-element representation of a boundary). In order to implement sparse update functions, it is necessary to know the sub-object and local coordinate within that sub-object at a given intrinsic coordinate, zeta. Note that only one sub-object can "cover" any given intrinsic position. If the position is at an "interface" between sub-objects, either one can be returned. The default implementation merely returns, the pointer to the "entire" GeomObject and the coordinate, zeta The optional boolean flag only applies if a Newton method is used to find the value of zeta, and if true the value of the coordinate s is used as the initial guess for the method. If the flag is false (the default) a value of s=0 is used as the initial guess. More...

virtual void	interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const
	A geometric object may be composed of many sub-objects each with their own local coordinate. This function returns the "global" intrinsic coordinate zeta (within the compound object), at a given local coordinate s (i.e. the intrinsic coordinate of the sub-GeomObject. In simple (non-compound) GeomObjects, the local intrinsic coordinate is the global intrinsic coordinate and so the function merely returns s. To make it less likely that the default implementation is called in error (because it is not overloaded in a derived GeomObject where the default is not appropriate, we do at least check that s and zeta have the same size if called in PARANOID mode. More...

Protected Attributes
Vector< Data * >	Geom_data_pt
	Vector of pointers to Data items that affects the object's shape. More...

bool	Must_clean_up
	Do I need to clean up? More...

bool	Is_time_dependent
	Genuine time-dependence? More...

Protected Attributes inherited from oomph::GeomObject
unsigned	NLagrangian
	Number of Lagrangian (intrinsic) coordinates. More...

unsigned	Ndim
	Number of Eulerian coordinates. More...

TimeStepper *	Geom_object_time_stepper_pt
	Timestepper (used to handle access to geometry at previous timesteps) More...

Detailed Description

Circle in 2D space.

$x = X_c + R \cos(\zeta)$

$y = Y_c + R \sin(\zeta)$

.

Definition at line 854 of file geom_objects.h.

Constructor & Destructor Documentation

◆ Circle() [1/4]

oomph::Circle::Circle	(	const double &	x_c,
		const double &	y_c,
		const double &	r
	)

inline

Constructor: Pass x and y-coords of centre and radius (all pinned)

Definition at line 860 of file geom_objects.h.

◆ Circle() [2/4]

oomph::Circle::Circle	(	const double &	x_c,
		const double &	y_c,
		const double &	r,
		TimeStepper *	time_stepper_pt
	)

inline

Constructor: Pass x and y-coords of centre and radius (all pinned) Circle is static but can be used in time-dependent runs with specified timestepper.

Definition at line 899 of file geom_objects.h.

References oomph::TimeStepper::assign_initial_values_impulsive().

◆ Circle() [3/4]

oomph::Circle::Circle ( const Vector< Data *> & geom_data_pt )

inline

Constructor: Pass x and y-coords of centre and radius (all as Data)

Geom_data_pt[0]->value(0) = X_c;
Geom_data_pt[0]->value(1) = Y_c;
Geom_data_pt[0]->value(2) = R;

Definition at line 946 of file geom_objects.h.

References oomph::TimeStepper::nprev_values(), and oomph::GeomObject::time_stepper_pt().

◆ Circle() [4/4]

oomph::Circle::Circle ( const Circle & dummy )

inline

Broken copy constructor.

Definition at line 985 of file geom_objects.h.

References oomph::BrokenCopy::broken_copy().

◆ ~Circle()

virtual oomph::Circle::~Circle ( )

inlinevirtual

Destructor: Clean up if necessary.

Definition at line 997 of file geom_objects.h.

References i, and oomph::GeomObject::ngeom_data().

Member Function Documentation

◆ geom_data_pt()

Data* oomph::Circle::geom_data_pt ( const unsigned & j )

inlinevirtual

Return pointer to the j-th Data item that the object's shape depends on.

Reimplemented from oomph::GeomObject.

Definition at line 1077 of file geom_objects.h.

◆ ngeom_data()

unsigned oomph::Circle::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on?

Reimplemented from oomph::GeomObject.

Definition at line 1073 of file geom_objects.h.

◆ operator=()

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

inline

Broken assignment operator.

Definition at line 991 of file geom_objects.h.

References oomph::BrokenCopy::broken_assign().

◆ position() [1/2]

void oomph::Circle::position	(	const Vector< double > &	zeta,
		Vector< double > &	r
	)		const

inlinevirtual

Position Vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

Definition at line 1012 of file geom_objects.h.

References oomph::BinaryTreeNames::R.

Referenced by oomph::CylinderWithFlagDomain::macro_element_boundary().

◆ position() [2/2]

void oomph::Circle::position	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	r
	)		const

inlinevirtual

Parametrised position on object: r(zeta). Evaluated at previous timestep. t=0: current time; t>0: previous timestep.

Reimplemented from oomph::GeomObject.

Definition at line 1028 of file geom_objects.h.

References oomph::GeomObject::position(), oomph::BinaryTreeNames::R, and oomph::GeomObject::time_stepper_pt().

◆ R()

double& oomph::Circle::R ( )

inline

Access function to radius of circle.

Definition at line 1070 of file geom_objects.h.

◆ x_c()

double& oomph::Circle::x_c ( )

inline

Access function to x-coordinate of centre of circle.

Definition at line 1064 of file geom_objects.h.

◆ y_c()

double& oomph::Circle::y_c ( )

inline

Access function to y-coordinate of centre of circle.

Definition at line 1067 of file geom_objects.h.

Member Data Documentation

◆ Geom_data_pt

Vector<Data*> oomph::Circle::Geom_data_pt

protected

Vector of pointers to Data items that affects the object's shape.

Definition at line 1082 of file geom_objects.h.

◆ Is_time_dependent

bool oomph::Circle::Is_time_dependent

protected

Genuine time-dependence?

Definition at line 1088 of file geom_objects.h.

◆ Must_clean_up

bool oomph::Circle::Must_clean_up

protected

Do I need to clean up?

Definition at line 1085 of file geom_objects.h.

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

geom_objects.h

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Circle() [1/4]

◆ Circle() [2/4]

◆ Circle() [3/4]

◆ Circle() [4/4]

◆ ~Circle()

Member Function Documentation

◆ geom_data_pt()

◆ ngeom_data()

◆ operator=()

◆ position() [1/2]

◆ position() [2/2]

◆ R()

◆ x_c()

◆ y_c()

Member Data Documentation

◆ Geom_data_pt

◆ Is_time_dependent

◆ Must_clean_up