Dumux::EmbeddedCoupling::EllipseIntegration< Scalar > Class Template Reference

Helper class to integrate over an elliptic domain. More...

#include <dumux/multidomain/embedded/cylinderintegration.hh>

Description

template<class Scalar>
class Dumux::EmbeddedCoupling::EllipseIntegration< Scalar >

Note

This is mostly useful if the integral is known and the integral mass has to be locally distributed to some non-matching domain

The algorithm is based on evenly spaced area elements with rejection sampling. To improve the quality of the integral, increase the sample size.

The area integral of a constant function is exact See Koch et al. (2020) https://doi.org/10.1016/j.jcp.2020.109369

Public Member Functions
	EllipseIntegration (const Scalar relCharLength)
	Constructor. More...
void	setGeometry (const GlobalPosition &center, const GlobalPosition &firstAxis, const GlobalPosition &secondAxis, int verbosity=0)
	set geometry of an ellipse More...
Scalar	integrationElement (std::size_t i) const
	obtain ith integration element More...
const GlobalPosition &	integrationPoint (std::size_t i) const
	obtain ith integration point More...
std::size_t	size () const
	number of integration points More...

Constructor & Destructor Documentation

EllipseIntegration()

template<class Scalar >

Dumux::EmbeddedCoupling::EllipseIntegration< Scalar >::EllipseIntegration ( const Scalar  relCharLength )

inlineexplicit

Parameters

relCharLength

characteristic relative integration length (real number between 0 and 1)

Note

half the characteristic length means 2*2=4 times more integration points

Member Function Documentation

integrationElement()

template<class Scalar >

Scalar Dumux::EmbeddedCoupling::EllipseIntegration< Scalar >::integrationElement ( std::size_t  i ) const

inline

integrationPoint()

template<class Scalar >

const GlobalPosition & Dumux::EmbeddedCoupling::EllipseIntegration< Scalar >::integrationPoint ( std::size_t  i ) const

inline

setGeometry()

template<class Scalar >

void Dumux::EmbeddedCoupling::EllipseIntegration< Scalar >::setGeometry ( const GlobalPosition &  center, const GlobalPosition &  firstAxis, const GlobalPosition &  secondAxis, int  verbosity = 0  )

inline

Parameters

center	the center position
firstAxis	first ellipse axis (length corresponding to axis length)
secondAxis	second ellipse axis (length corresponding to axis length)
verbosity	the verbosity level (default: 0 -> no terminal output)

size()

template<class Scalar >

std::size_t Dumux::EmbeddedCoupling::EllipseIntegration< Scalar >::size ( ) const

inline

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

• cylinderintegration.hh