Elliptical tube with half axes a and b. More...
#include <geom_objects.h>
Inheritance diagram for oomph::EllipticalTube:
Public Member Functions | |
| EllipticalTube (const double &a, const double &b) | |
| Constructor: Specify radius. More... | |
| EllipticalTube (const EllipticalTube &node) | |
| Broken copy constructor. More... | |
| void | operator= (const EllipticalTube &) |
| Broken assignment operator. More... | |
| double & | a () |
| Access function to x-half axis. More... | |
| double & | b () |
| Access function to y-half axis. More... | |
| void | position (const Vector< double > &zeta, Vector< double > &r) const |
| Position vector. More... | |
| void | position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const |
| Position vector (dummy unsteady version returns steady version) More... | |
| virtual unsigned | ngeom_data () const |
| How many items of Data does the shape of the object depend on? More... | |
| void | d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const |
| Position Vector and 1st and 2nd derivs w.r.t. zeta. More... | |
| void | d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const |
| Position Vector and 1st and 2nd derivs w.r.t. zeta. 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 Data * | geom_data_pt (const unsigned &j) |
| Return pointer to the j-th Data item that the object's shape depends on. This is implemented as a broken virtual function. You must overload this for GeomObjects that contain geometric Data, i.e. GeomObjects whose shape depends on Data that may contain unknowns in the overall Problem. More... | |
| virtual void | dposition_dt (const Vector< double > &zeta, const unsigned &j, Vector< double > &drdt) |
j-th time-derivative on object at current time:  . More... | |
| virtual void | dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const |
Derivative of position Vector w.r.t. to coordinates:  = drdzeta(alpha,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... | |
Private Attributes | |
| double | A |
| x-half axis More... | |
| double | B |
| x-half axis More... | |
Additional Inherited Members | |
| 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
![\[ {\bf r} = ( a \cos(\zeta_1), b \sin(zeta_1), \zeta_0)^T \]](form_292.png)
Constructor & Destructor Documentation
◆ EllipticalTube() [1/2]
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inline |
Constructor: Specify radius.
Definition at line 1109 of file geom_objects.h.
◆ EllipticalTube() [2/2]
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inline |
Broken copy constructor.
Definition at line 1113 of file geom_objects.h.
References oomph::BrokenCopy::broken_copy().
Member Function Documentation
◆ a()
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inline |
Access function to x-half axis.
Definition at line 1125 of file geom_objects.h.
◆ b()
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inline |
Access function to y-half axis.
Definition at line 1128 of file geom_objects.h.
References oomph::OcTreeNames::B.
◆ d2position() [1/2]
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inlinevirtual |
Position Vector and 1st and 2nd derivs w.r.t. zeta.
Reimplemented from oomph::GeomObject.
Definition at line 1154 of file geom_objects.h.
References oomph::OcTreeNames::B.
◆ d2position() [2/2]
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inlinevirtual |
Position Vector and 1st and 2nd derivs w.r.t. zeta.
Reimplemented from oomph::GeomObject.
Definition at line 1171 of file geom_objects.h.
References oomph::OcTreeNames::B.
◆ ngeom_data()
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inlinevirtual |
How many items of Data does the shape of the object depend on?
Reimplemented from oomph::GeomObject.
Definition at line 1148 of file geom_objects.h.
◆ operator=()
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inline |
Broken assignment operator.
Definition at line 1119 of file geom_objects.h.
References oomph::BrokenCopy::broken_assign().
◆ position() [1/2]
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inlinevirtual |
Position vector.
Implements oomph::GeomObject.
Definition at line 1131 of file geom_objects.h.
References oomph::OcTreeNames::B.
◆ position() [2/2]
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inlinevirtual |
Position vector (dummy unsteady version returns steady version)
Reimplemented from oomph::GeomObject.
Definition at line 1140 of file geom_objects.h.
References oomph::GeomObject::position().
Member Data Documentation
◆ A
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private |
x-half axis
Definition at line 1208 of file geom_objects.h.
◆ B
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private |
x-half axis
Definition at line 1211 of file geom_objects.h.
The documentation for this class was generated from the following file: