LevelSetOlssonBubble Class Reference

Implements the "bubble" function from Olsson and Kreiss (2005). More...

#include <LevelSetOlssonBubble.h>

Inheritance diagram for LevelSetOlssonBubble:

Public Member Functions
	LevelSetOlssonBubble (const InputParameters &parameters)
virtual Real	value (Real, const Point &p) const override
virtual RealGradient	gradient (Real, const Point &p) const override

Protected Attributes
const RealVectorValue &	_center
	The 'center' of the bubble. More...
const Real &	_radius
	The radius of the bubble. More...
const Real &	_epsilon
	The interface thickness. More...

Detailed Description

Implements the "bubble" function from Olsson and Kreiss (2005).

Definition at line 23 of file LevelSetOlssonBubble.h.

Constructor & Destructor Documentation

LevelSetOlssonBubble()

LevelSetOlssonBubble::LevelSetOlssonBubble

(

const InputParameters &

parameters

)

Definition at line 28 of file LevelSetOlssonBubble.C.

  : Function(parameters),
    _center(getParam<RealVectorValue>("center")),
    _radius(getParam<Real>("radius")),
    _epsilon(getParam<Real>("epsilon"))
{
}

Member Function Documentation

gradient()

RealGradient LevelSetOlssonBubble::gradient ( Real  , const Point &  p  ) const

overridevirtual

Definition at line 44 of file LevelSetOlssonBubble.C.

{
  Real norm = (p - _center).norm();
  Real g = (norm - _radius) / _epsilon;
  RealGradient output;
 
  Real g_prime;
  for (unsigned int i = 0; i < LIBMESH_DIM; ++i)
  {
    g_prime = (p(i) - _center(i)) / (_epsilon * norm);
    output(i) = (g_prime * std::exp(g)) / ((std::exp(g) + 1) * (std::exp(g) + 1));
  }
  return output;
}

value()

Real LevelSetOlssonBubble::value ( Real  , const Point &  p  ) const

overridevirtual

Definition at line 37 of file LevelSetOlssonBubble.C.

{
  const Real x = ((p - _center).norm() - _radius) / _epsilon;
  return 1.0 / (1 + std::exp(x));
}

Member Data Documentation

_center

const RealVectorValue& LevelSetOlssonBubble::_center

protected

The 'center' of the bubble.

Definition at line 34 of file LevelSetOlssonBubble.h.

Referenced by gradient(), and value().

_epsilon

const Real& LevelSetOlssonBubble::_epsilon

protected

The interface thickness.

Definition at line 40 of file LevelSetOlssonBubble.h.

Referenced by gradient(), and value().

_radius

const Real& LevelSetOlssonBubble::_radius

protected

The radius of the bubble.

Definition at line 37 of file LevelSetOlssonBubble.h.

Referenced by gradient(), and value().

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

• level_set/include/functions/LevelSetOlssonBubble.h
• level_set/src/functions/LevelSetOlssonBubble.C