Description

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

Helper class to integrate over an elliptic domain.

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

template<class Scalar >

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

inlineexplicit

Constructor.

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

template<class Scalar >

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

inline

obtain ith integration element

template<class Scalar >

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

inline

obtain ith integration point

template<class Scalar >

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

inline

set geometry of an ellipse

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)

template<class Scalar >

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

inline

number of integration points

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