oomph::EllipticalTube Class Reference

#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)=delete
	Broken copy constructor. More...
void	operator= (const EllipticalTube &)=delete
	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)
	GeomObject (const unsigned &nlagrangian, const unsigned &ndim)
	GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt)
	GeomObject (const GeomObject &dummy)=delete
	Broken copy constructor. More...
void	operator= (const GeomObject &)=delete
	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 ()
TimeStepper *	time_stepper_pt () const
virtual Data *	geom_data_pt (const unsigned &j)
virtual void	position (const double &t, const Vector< double > &zeta, Vector< double > &r) const
virtual void	dposition_dt (const Vector< double > &zeta, const unsigned &j, Vector< double > &drdt)
virtual void	dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const
virtual void	locate_zeta (const Vector< double > &zeta, GeomObject *&sub_geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)
virtual void	interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const

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

Detailed Description

//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// Elliptical tube with half axes a and b.

\[ {\bf r} = ( a \cos(\zeta_1), b \sin(zeta_1), \zeta_0)^T \]

Constructor & Destructor Documentation

EllipticalTube() [1/2]

oomph::EllipticalTube::EllipticalTube ( const double &  a, const double &  b  )

inline

Constructor: Specify radius.

      : GeomObject(2, 3), A(a), B(b)
    {
    }

EllipticalTube() [2/2]

oomph::EllipticalTube::EllipticalTube ( const EllipticalTube &  node )

delete

Broken copy constructor.

Member Function Documentation

a()

double& oomph::EllipticalTube::a ( )

inline

Access function to x-half axis.

    {
      return A;
    }

References A.

b()

double& oomph::EllipticalTube::b ( )

inline

Access function to y-half axis.

    {
      return B;
    }

References B.

d2position() [1/2]

void oomph::EllipticalTube::d2position ( const Vector< double > &  zeta, RankThreeTensor< double > &  ddrdzeta  ) const

inlinevirtual

Position Vector and 1st and 2nd derivs w.r.t. zeta.

Reimplemented from oomph::GeomObject.

    {
      ddrdzeta(0, 0, 0) = 0.0;
      ddrdzeta(0, 0, 1) = 0.0;
      ddrdzeta(0, 0, 2) = 0.0;
 
      ddrdzeta(1, 1, 0) = -A * cos(zeta[1]);
      ddrdzeta(1, 1, 1) = -B * sin(zeta[1]);
      ddrdzeta(1, 1, 2) = 0.0;
 
      ddrdzeta(0, 1, 0) = ddrdzeta(1, 0, 0) = 0.0;
      ddrdzeta(0, 1, 1) = ddrdzeta(1, 0, 1) = 0.0;
      ddrdzeta(0, 1, 2) = ddrdzeta(1, 0, 2) = 0.0;
    }

References cos(), sin(), and Eigen::zeta().

d2position() [2/2]

void oomph::EllipticalTube::d2position ( const Vector< double > &  zeta, Vector< double > &  r, DenseMatrix< double > &  drdzeta, RankThreeTensor< double > &  ddrdzeta  ) const

inlinevirtual

Position Vector and 1st and 2nd derivs w.r.t. zeta.

Reimplemented from oomph::GeomObject.

    {
      // Let's just do a simple tube
      r[0] = A * cos(zeta[1]);
      r[1] = B * sin(zeta[1]);
      r[2] = zeta[0];
 
      // Do the azetaal derivatives
      drdzeta(0, 0) = 0.0;
      drdzeta(0, 1) = 0.0;
      drdzeta(0, 2) = 1.0;
 
      // Do the azimuthal derivatives
      drdzeta(1, 0) = -A * sin(zeta[1]);
      drdzeta(1, 1) = B * cos(zeta[1]);
      drdzeta(1, 2) = 0.0;
 
      // Now let's do the second derivatives
      ddrdzeta(0, 0, 0) = 0.0;
      ddrdzeta(0, 0, 1) = 0.0;
      ddrdzeta(0, 0, 2) = 0.0;
 
      ddrdzeta(1, 1, 0) = -A * cos(zeta[1]);
      ddrdzeta(1, 1, 1) = -B * sin(zeta[1]);
      ddrdzeta(1, 1, 2) = 0.0;
 
      // Mixed derivatives
      ddrdzeta(0, 1, 0) = ddrdzeta(1, 0, 0) = 0.0;
      ddrdzeta(0, 1, 1) = ddrdzeta(1, 0, 1) = 0.0;
      ddrdzeta(0, 1, 2) = ddrdzeta(1, 0, 2) = 0.0;
    }

References cos(), UniformPSDSelfTest::r, sin(), and Eigen::zeta().

ngeom_data()

virtual unsigned oomph::EllipticalTube::ngeom_data ( ) const

inlinevirtual

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

Reimplemented from oomph::GeomObject.

    {
      return 0;
    }

operator=()

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

delete

Broken assignment operator.

position() [1/2]

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

inlinevirtual

Position vector (dummy unsteady version returns steady version)

Reimplemented from oomph::GeomObject.

    {
      position(zeta, r);
    }

References position(), UniformPSDSelfTest::r, and Eigen::zeta().

position() [2/2]

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

inlinevirtual

Position vector.

Implements oomph::GeomObject.

    {
      r[0] = A * cos(zeta[1]);
      r[1] = B * sin(zeta[1]);
      r[2] = zeta[0];
    }

References cos(), UniformPSDSelfTest::r, sin(), and Eigen::zeta().

Referenced by position().

Member Data Documentation

A

double oomph::EllipticalTube::A

private

x-half axis

Referenced by a().

B

double oomph::EllipticalTube::B

private

x-half axis

Referenced by b().

---

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

• geom_objects.h