WarpedLine Class Reference

Warped line in 2D space. More...

Inheritance diagram for WarpedLine:

Public Member Functions
	WarpedLine (const double &ampl, const double &x_min, const double &x_max)
	Constructor: Specify amplitude of deflection from straight horizontal line. More...
	WarpedLine (const WarpedLine &dummy)
	Broken copy constructor. More...
void	operator= (const WarpedLine &)
	Broken assignment operator. More...
	~WarpedLine ()
	Empty Destructor. 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
double	radius () const
	Return radius. More...
double	y_c () const
	Return y coordinate of centre. More...
double &	ampl ()
	Access to amplitude. More...
unsigned	ngeom_data () const
void	set_reversed ()
	Local coordinates are reversed. More...
void	set_non_reversed ()
	Local coordinates are not reversed. More...
double &	lift_off_amplitude ()
	Lift off amplitude. More...
double &	lift_off_alpha ()
	Exponential factor for lift off (controls sharpness) More...
	WarpedLine (const double &ampl, const double &x_min, const double &x_max)
	Constructor: Specify amplitude of deflection from straight horizontal line. More...
	WarpedLine (const WarpedLine &dummy)
	Broken copy constructor. More...
	~WarpedLine ()
	Empty Destructor. 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
double	radius () const
	Return radius. More...
double	y_c () const
	Return y coordinate of centre. More...
double &	ampl ()
	Access to amplitude. More...
unsigned	ngeom_data () const
void	set_reversed ()
	Local coordinates are reversed. More...
void	set_non_reversed ()
	Local coordinates are not reversed. More...
double &	lift_off_amplitude ()
	Lift off amplitude. More...
double &	lift_off_alpha ()
	Exponential factor for lift off (controls sharpness) More...
	WarpedLine (const double &ampl)
	Constructor: Specify amplitude of deflection from straight horizontal line. More...
	WarpedLine (const WarpedLine &dummy)
	Broken copy constructor. More...
void	operator= (const WarpedLine &)
	Broken assignment operator. More...
	~WarpedLine ()
	Empty Destructor. 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
double &	ampl ()
	Access to amplitude. More...
unsigned	ngeom_data () const
	WarpedLine (const double &ampl)
	Constructor: Specify amplitude of deflection from straight horizontal line. More...
	WarpedLine (const WarpedLine &dummy)
	Broken copy constructor. More...
void	operator= (const WarpedLine &)
	Broken assignment operator. More...
	~WarpedLine ()
	Empty Destructor. 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
double &	ampl ()
	Access to amplitude. More...
unsigned	ngeom_data () const
	WarpedLine (const double &ampl)
	Constructor: Specify amplitude of deflection from straight horizontal line. More...
	WarpedLine (const WarpedLine &dummy)
	Broken copy constructor. More...
void	operator= (const WarpedLine &)
	Broken assignment operator. More...
	~WarpedLine ()
	Empty Destructor. 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
double &	ampl ()
	Access to amplitude. More...
unsigned	ngeom_data () const
	WarpedLine (const double &ampl)
	Constructor: Specify amplitude of deflection from straight horizontal line. More...
	WarpedLine (const WarpedLine &dummy)
	Broken copy constructor. More...
void	operator= (const WarpedLine &)
	Broken assignment operator. More...
	~WarpedLine ()
	Empty Destructor. 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
double &	ampl ()
	Access to amplitude. More...
	WarpedLine (const double &ampl)
	Constructor: Specify amplitude of deflection from straight horizontal line. More...
	WarpedLine (const WarpedLine &dummy)
	Broken copy constructor. More...
void	operator= (const WarpedLine &)
	Broken assignment operator. More...
	~WarpedLine ()
	Empty Destructor. 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
double &	ampl ()
	Access to amplitude. More...
unsigned	ngeom_data () const
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	d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const
virtual void	d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) 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	Ampl
	Amplitude of perturbation. More...
double	X_min
	Min zeta coordinate. More...
double	X_max
	Max zeta coordinate. More...
bool	Reversed
	Reverse? More...
double	Lift_off_amplitude
	Lift off amplitude. More...
double	Lift_off_alpha
	Exponential factor for lift off (controls sharpness) 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

Warped line in 2D space.

Constructor & Destructor Documentation

WarpedLine() [1/14]

WarpedLine::WarpedLine ( const double &  ampl, const double &  x_min, const double &  x_max  )

inline

Constructor: Specify amplitude of deflection from straight horizontal line.

  : GeomObject(1,2)
  {
   Ampl=ampl;
   X_min=x_min;
   X_max=x_max;
   Reversed=false;
   Lift_off_amplitude=0.0;
   Lift_off_alpha=100.0;
  }

References ampl(), Ampl, Lift_off_alpha, Lift_off_amplitude, Reversed, X_max, and X_min.

WarpedLine() [2/14]

WarpedLine::WarpedLine ( const WarpedLine &  dummy )

inline

Broken copy constructor.

  { 
   BrokenCopy::broken_copy("WarpedLine");
  } 

References oomph::BrokenCopy::broken_copy().

~WarpedLine() [1/7]

WarpedLine::~WarpedLine ( )

inline

Empty Destructor.

{}

WarpedLine() [3/14]

WarpedLine::WarpedLine ( const double &  ampl, const double &  x_min, const double &  x_max  )

inline

Constructor: Specify amplitude of deflection from straight horizontal line.

  : GeomObject(1,2)
  {
   Ampl=ampl;
   X_min=x_min;
   X_max=x_max;
   Reversed=false;
   Lift_off_amplitude=0.0;
   Lift_off_alpha=10000.0;
  }

References RayParam::X_max, and RayParam::X_min.

WarpedLine() [4/14]

WarpedLine::WarpedLine ( const WarpedLine &  dummy )

inline

Broken copy constructor.

  { 
   BrokenCopy::broken_copy("WarpedLine");
  } 

References oomph::BrokenCopy::broken_copy().

~WarpedLine() [2/7]

WarpedLine::~WarpedLine ( )

inline

Empty Destructor.

{}

WarpedLine() [5/14]

WarpedLine::WarpedLine ( const double &  ampl )

inline

Constructor: Specify amplitude of deflection from straight horizontal line.

                                : GeomObject(1,2)
  {
   Ampl=ampl;
  }

WarpedLine() [6/14]

WarpedLine::WarpedLine ( const WarpedLine &  dummy )

inline

Broken copy constructor.

  { 
   BrokenCopy::broken_copy("WarpedLine");
  } 

References oomph::BrokenCopy::broken_copy().

~WarpedLine() [3/7]

WarpedLine::~WarpedLine ( )

inline

Empty Destructor.

{}

WarpedLine() [7/14]

WarpedLine::WarpedLine ( const double &  ampl )

inline

Constructor: Specify amplitude of deflection from straight horizontal line.

                                : GeomObject(1,2)
  {
   Ampl=ampl;
  }

WarpedLine() [8/14]

WarpedLine::WarpedLine ( const WarpedLine &  dummy )

inline

Broken copy constructor.

  { 
   BrokenCopy::broken_copy("WarpedLine");
  } 

References oomph::BrokenCopy::broken_copy().

~WarpedLine() [4/7]

WarpedLine::~WarpedLine ( )

inline

Empty Destructor.

{}

WarpedLine() [9/14]

WarpedLine::WarpedLine ( const double &  ampl )

inline

Constructor: Specify amplitude of deflection from straight horizontal line.

                                : GeomObject(1,2)
  {
   Ampl=ampl;
  }

WarpedLine() [10/14]

WarpedLine::WarpedLine ( const WarpedLine &  dummy )

inline

Broken copy constructor.

  { 
   BrokenCopy::broken_copy("WarpedLine");
  } 

References oomph::BrokenCopy::broken_copy().

~WarpedLine() [5/7]

WarpedLine::~WarpedLine ( )

inline

Empty Destructor.

{}

WarpedLine() [11/14]

WarpedLine::WarpedLine ( const double &  ampl )

inline

Constructor: Specify amplitude of deflection from straight horizontal line.

                                : GeomObject(1,2)
  {
   Ampl=ampl;
  }

WarpedLine() [12/14]

WarpedLine::WarpedLine ( const WarpedLine &  dummy )

inline

Broken copy constructor.

  { 
   BrokenCopy::broken_copy("WarpedLine");
  } 

References oomph::BrokenCopy::broken_copy().

~WarpedLine() [6/7]

WarpedLine::~WarpedLine ( )

inline

Empty Destructor.

{}

WarpedLine() [13/14]

WarpedLine::WarpedLine ( const double &  ampl )

inline

Constructor: Specify amplitude of deflection from straight horizontal line.

                                : GeomObject(1,2)
  {
   Ampl=ampl;
  }

WarpedLine() [14/14]

WarpedLine::WarpedLine ( const WarpedLine &  dummy )

inline

Broken copy constructor.

  { 
   BrokenCopy::broken_copy("WarpedLine");
  } 

References oomph::BrokenCopy::broken_copy().

~WarpedLine() [7/7]

WarpedLine::~WarpedLine ( )

inline

Empty Destructor.

{}

Member Function Documentation

ampl() [1/7]

double& WarpedLine::ampl ( )

inline

Access to amplitude.

{return Ampl;}

References Ampl.

Referenced by main(), and WarpedLine().

ampl() [2/7]

double& WarpedLine::ampl ( )

inline

Access to amplitude.

{return Ampl;}

ampl() [3/7]

double& WarpedLine::ampl ( )

inline

Access to amplitude.

{return Ampl;}

ampl() [4/7]

double& WarpedLine::ampl ( )

inline

Access to amplitude.

{return Ampl;}

ampl() [5/7]

double& WarpedLine::ampl ( )

inline

Access to amplitude.

{return Ampl;}

ampl() [6/7]

double& WarpedLine::ampl ( )

inline

Access to amplitude.

{return Ampl;}

ampl() [7/7]

double& WarpedLine::ampl ( )

inline

Access to amplitude.

{return Ampl;}

lift_off_alpha() [1/2]

double& WarpedLine::lift_off_alpha ( )

inline

Exponential factor for lift off (controls sharpness)

  {
   return Lift_off_alpha;
  }

References Lift_off_alpha.

lift_off_alpha() [2/2]

double& WarpedLine::lift_off_alpha ( )

inline

Exponential factor for lift off (controls sharpness)

  {
   return Lift_off_alpha;
  }

lift_off_amplitude() [1/2]

double& WarpedLine::lift_off_amplitude ( )

inline

Lift off amplitude.

  {
   return Lift_off_amplitude;
  }

References Lift_off_amplitude.

Referenced by main().

lift_off_amplitude() [2/2]

double& WarpedLine::lift_off_amplitude ( )

inline

Lift off amplitude.

  {
   return Lift_off_amplitude;
  }

ngeom_data() [1/6]

unsigned WarpedLine::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on? None.

Reimplemented from oomph::GeomObject.

  {
   return 0;
  }

ngeom_data() [2/6]

unsigned WarpedLine::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on? None.

Reimplemented from oomph::GeomObject.

  {
   return 0;
  }

ngeom_data() [3/6]

unsigned WarpedLine::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on? None.

Reimplemented from oomph::GeomObject.

  {
   return 0;
  }

ngeom_data() [4/6]

unsigned WarpedLine::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on? None.

Reimplemented from oomph::GeomObject.

  {
   return 0;
  }

ngeom_data() [5/6]

unsigned WarpedLine::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on? None.

Reimplemented from oomph::GeomObject.

  {
   return 0;
  }

ngeom_data() [6/6]

unsigned WarpedLine::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on? None.

Reimplemented from oomph::GeomObject.

  {
   return 0;
  }

operator=() [1/6]

void WarpedLine::operator= ( const WarpedLine &  )

inline

Broken assignment operator.

  {
   BrokenCopy::broken_assign("WarpedLine");
  }

References oomph::BrokenCopy::broken_assign().

operator=() [2/6]

void WarpedLine::operator= ( const WarpedLine &  )

inline

Broken assignment operator.

  {
   BrokenCopy::broken_assign("WarpedLine");
  }

References oomph::BrokenCopy::broken_assign().

operator=() [3/6]

void WarpedLine::operator= ( const WarpedLine &  )

inline

Broken assignment operator.

  {
   BrokenCopy::broken_assign("WarpedLine");
  }

References oomph::BrokenCopy::broken_assign().

operator=() [4/6]

void WarpedLine::operator= ( const WarpedLine &  )

inline

Broken assignment operator.

  {
   BrokenCopy::broken_assign("WarpedLine");
  }

References oomph::BrokenCopy::broken_assign().

operator=() [5/6]

void WarpedLine::operator= ( const WarpedLine &  )

inline

Broken assignment operator.

  {
   BrokenCopy::broken_assign("WarpedLine");
  }

References oomph::BrokenCopy::broken_assign().

operator=() [6/6]

void WarpedLine::operator= ( const WarpedLine &  )

inline

Broken assignment operator.

  {
   BrokenCopy::broken_assign("WarpedLine");
  }

References oomph::BrokenCopy::broken_assign().

position() [1/14]

void WarpedLine::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. Forward to steady version

Reimplemented from oomph::GeomObject.

  {
   position(zeta,r);
  }

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

position() [2/14]

void WarpedLine::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. Forward to steady version

Reimplemented from oomph::GeomObject.

  {
   position(zeta,r);
  }

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

position() [3/14]

void WarpedLine::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. Forward to steady version

Reimplemented from oomph::GeomObject.

  {
   position(zeta,r);
  }

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

position() [4/14]

void WarpedLine::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. Forward to steady version

Reimplemented from oomph::GeomObject.

  {
   position(zeta,r);
  }

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

position() [5/14]

void WarpedLine::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. Forward to steady version

Reimplemented from oomph::GeomObject.

  {
   position(zeta,r);
  }

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

position() [6/14]

void WarpedLine::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. Forward to steady version

Reimplemented from oomph::GeomObject.

  {
   position(zeta,r);
  }

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

position() [7/14]

void WarpedLine::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. Forward to steady version

Reimplemented from oomph::GeomObject.

  {
   position(zeta,r);
  }

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

position() [8/14]

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

inlinevirtual

Position vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

  {
   double zetaa=X_min+zeta[0]*(X_max-X_min);
   if (Reversed)
    {
     zetaa=X_max+zeta[0]*(X_min-X_max);
    }
 
   double alpha=atan((4.0*Ampl)/(1.0+4.0*Ampl*Ampl));
   double y_c=1.0+1.0/(2.0*tan(alpha));
   double radius=1.0/(2.0*sin(alpha));
 
   // Position vector for circular shape
   r[0] = zetaa; 
   r[1] = y_c-sqrt(radius*radius-(zetaa-0.5)*(zetaa-0.5));
 
   // Lift off
   r[1]-=Lift_off_amplitude*exp(-Lift_off_alpha*(zetaa-0.5)*(zetaa-0.5));
  }

References alpha, Ampl, Eigen::bfloat16_impl::atan(), Eigen::bfloat16_impl::exp(), Lift_off_alpha, Lift_off_amplitude, UniformPSDSelfTest::r, radius(), Reversed, sin(), sqrt(), Eigen::bfloat16_impl::tan(), X_max, X_min, y_c(), and Eigen::zeta().

Referenced by PrescribedBoundaryDisplacementProblem< ELEMENT >::actions_before_newton_solve(), and position().

position() [9/14]

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

inlinevirtual

Position vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

  {
   double zetaa=X_min+zeta[0]*(X_max-X_min);
   if (Reversed)
    {
     zetaa=X_max+zeta[0]*(X_min-X_max);
    }
 
   double alpha=atan((4.0*Ampl)/(1.0+4.0*Ampl*Ampl));
   double y_c=1.0+1.0/(2.0*tan(alpha));
   double radius=1.0/(2.0*sin(alpha));
 
   // Position vector for circular shape
   r[0] = zetaa; 
   r[1] = y_c-sqrt(radius*radius-(zetaa-0.5)*(zetaa-0.5));
 
   // Lift off
   r[1]-=Lift_off_amplitude*exp(-Lift_off_alpha*(zetaa-0.5)*(zetaa-0.5));
  }

References alpha, Eigen::bfloat16_impl::atan(), Eigen::bfloat16_impl::exp(), UniformPSDSelfTest::r, UniformPSDSelfTest::radius, sin(), sqrt(), Eigen::bfloat16_impl::tan(), RayParam::X_max, RayParam::X_min, and Eigen::zeta().

position() [10/14]

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

inlinevirtual

Position vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

  {
   // Position vector
   r[0] = zeta[0]+5.0*Ampl*zeta[0]*(zeta[0]-1.0)*(zeta[0]-0.7);
   r[1] = 1.0+Ampl*0.5*(1.0-cos(2.0*MathematicalConstants::Pi*zeta[0]));
  }

References cos(), BiharmonicTestFunctions2::Pi, UniformPSDSelfTest::r, and Eigen::zeta().

position() [11/14]

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

inlinevirtual

Position vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

  {
   // Position vector
   r[0] = zeta[0]+5.0*Ampl*zeta[0]*(zeta[0]-0.4)*(zeta[0]-0.7);
   r[1] = 1.0+Ampl*0.5*(1.0-cos(2.0*MathematicalConstants::Pi*zeta[0]/0.4));
  }

References cos(), BiharmonicTestFunctions2::Pi, UniformPSDSelfTest::r, and Eigen::zeta().

position() [12/14]

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

inlinevirtual

Position vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

  {
   // Position vector
   r[0] = zeta[0]+5.0*Ampl*zeta[0]*(zeta[0]-1.0)*(zeta[0]-0.7);
   r[1] = 1.0+Ampl*0.5*(1.0-cos(2.0*MathematicalConstants::Pi*zeta[0]));
  }

References cos(), BiharmonicTestFunctions2::Pi, UniformPSDSelfTest::r, and Eigen::zeta().

position() [13/14]

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

inlinevirtual

Position vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

  {
   // Position vector
   r[0] = zeta[0]+5.0*Ampl*zeta[0]*(zeta[0]-1.0)*(zeta[0]-0.7);
   r[1] = 1.0+Ampl*0.5*(1.0-cos(2.0*MathematicalConstants::Pi*zeta[0]));
  }

References cos(), BiharmonicTestFunctions2::Pi, UniformPSDSelfTest::r, and Eigen::zeta().

position() [14/14]

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

inlinevirtual

Position vector at Lagrangian coordinate zeta.

Implements oomph::GeomObject.

  {
   // Position vector
   r[0] = zeta[0]+5.0*Ampl*zeta[0]*(zeta[0]-1.0)*(zeta[0]-0.7);
   r[1] = 1.0+Ampl*0.5*(1.0-cos(2.0*MathematicalConstants::Pi*zeta[0]));
  }

References cos(), BiharmonicTestFunctions2::Pi, UniformPSDSelfTest::r, and Eigen::zeta().

radius() [1/2]

double WarpedLine::radius ( ) const

inline

Return radius.

  {
   double alpha=atan((4.0*Ampl)/(1.0+4.0*Ampl*Ampl));
   return 1.0/(2.0*sin(alpha));
  }

References alpha, Ampl, Eigen::bfloat16_impl::atan(), and sin().

Referenced by ContactProblem< ELEMENT >::doc_solution(), main(), and position().

radius() [2/2]

double WarpedLine::radius ( ) const

inline

Return radius.

  {
   double alpha=atan((4.0*Ampl)/(1.0+4.0*Ampl*Ampl));
   return 1.0/(2.0*sin(alpha));
  }

References alpha, Eigen::bfloat16_impl::atan(), and sin().

set_non_reversed() [1/2]

void WarpedLine::set_non_reversed ( )

inline

Local coordinates are not reversed.

  {
   Reversed=false;
  }

References Reversed.

Referenced by ContactProblem< ELEMENT >::create_displ_imposition_elements().

set_non_reversed() [2/2]

void WarpedLine::set_non_reversed ( )

inline

Local coordinates are not reversed.

  {
   Reversed=false;
  }

set_reversed() [1/2]

void WarpedLine::set_reversed ( )

inline

Local coordinates are reversed.

  {
   Reversed=true;
  }

References Reversed.

Referenced by ContactProblem< ELEMENT >::create_displ_imposition_elements().

set_reversed() [2/2]

void WarpedLine::set_reversed ( )

inline

Local coordinates are reversed.

  {
   Reversed=true;
  }

y_c() [1/2]

double WarpedLine::y_c ( ) const

inline

Return y coordinate of centre.

  {
   double alpha=atan((4.0*Ampl)/(1.0+4.0*Ampl*Ampl));
   return 1.0+1.0/(2.0*tan(alpha));
  }

References alpha, Ampl, Eigen::bfloat16_impl::atan(), and Eigen::bfloat16_impl::tan().

Referenced by main(), and position().

y_c() [2/2]

double WarpedLine::y_c ( ) const

inline

Return y coordinate of centre.

  {
   double alpha=atan((4.0*Ampl)/(1.0+4.0*Ampl*Ampl));
   return 1.0+1.0/(2.0*tan(alpha));
  }

References alpha, Eigen::bfloat16_impl::atan(), and Eigen::bfloat16_impl::tan().

Member Data Documentation

Ampl

double WarpedLine::Ampl

private

Amplitude of perturbation.

Referenced by ampl(), position(), radius(), WarpedLine(), and y_c().

Lift_off_alpha

double WarpedLine::Lift_off_alpha

private

Exponential factor for lift off (controls sharpness)

Referenced by lift_off_alpha(), position(), and WarpedLine().

Lift_off_amplitude

double WarpedLine::Lift_off_amplitude

private

Lift off amplitude.

Referenced by lift_off_amplitude(), position(), and WarpedLine().

Reversed

bool WarpedLine::Reversed

private

Reverse?

Referenced by position(), set_non_reversed(), set_reversed(), and WarpedLine().

X_max

double WarpedLine::X_max

private

Max zeta coordinate.

Referenced by position(), and WarpedLine().

X_min

double WarpedLine::X_min

private

Min zeta coordinate.

Referenced by position(), and WarpedLine().

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

• heated_linear_solid_contact_with_gravity.cc
• linear_solid_contact_with_gravity.cc
• mpi/distribution/prescribed_displ_lagr_mult/prescribed_displ_lagr_mult.cc
• resize_hanging_node_tester.cc
• prescribed_displ_lagr_mult2.cc
• prescribed_displ_lagr_mult_precond.cc