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

Helper class to integrate over a cylinder domain. More...

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

Description

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

Helper class to integrate over a cylinder 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 creates (almost) evenly spaced area elements on a circle and extrudes this pattern into a cylinder. Each sub-cell is an integration point with constant ansatz on the sub-cell (lowest order integration formula). Hence to improve the quality of the integral, increase the sample size.

The volume integral of a constant function is exact See Beckers & Beckers (2012) doi:10.1016/j.comgeo.2012.01.011 for circle distribution and T. Koch PhD thesis (2020), Section 7.2.4.

Public Member Functions
	CylinderIntegration (const Scalar rStep)
	Constructor.
	CylinderIntegration (const Scalar rStep, const Scalar zStep)
	Constructor.
void	setGeometry (const GlobalPosition &bottomCenter, const GlobalPosition &topCenter, const Scalar radius, int verbosity=0)
	Set the geometry of the cylinder.
Scalar	integrationElement (std::size_t i) const
	The integration element of the ith integration point.
const GlobalPosition &	integrationPoint (std::size_t i) const
	The ith integration point.
std::size_t	size () const
	The number of integration points.

Constructor & Destructor Documentation

CylinderIntegration() [1/2]

template<class Scalar>

Dumux::EmbeddedCoupling::CylinderIntegration< Scalar >::CylinderIntegration ( const Scalar rStep )

inline

Constructor.

Parameters

rStep

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

Note

half the characteristic length means 2*2*2=8 times more integration points

CylinderIntegration() [2/2]

template<class Scalar>

Dumux::EmbeddedCoupling::CylinderIntegration< Scalar >::CylinderIntegration ( const Scalar rStep, const Scalar zStep )

inline

Constructor.

Parameters

rStep	characteristic relative integration length in r-direction (positive real number between 0 and 1)
zStep	characteristic relative integration length in z-direction (positive real number between 0 and 1)

Note

Use this constructor to achieve a non-balanced (away from 1) aspect ratio between r and z-direction

Member Function Documentation

integrationElement()

template<class Scalar>

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

inline

The integration element of the ith integration point.

integrationPoint()

template<class Scalar>

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

inline

The ith integration point.

setGeometry()

template<class Scalar>

void Dumux::EmbeddedCoupling::CylinderIntegration< Scalar >::setGeometry ( const GlobalPosition & bottomCenter, const GlobalPosition & topCenter, const Scalar radius, int verbosity = 0 )

inline

Set the geometry of the cylinder.

Parameters

bottomCenter	bottom center position
topCenter	top center position
radius	cylinder radius
verbosity	the verbosity level (default: 0 -> no terminal output)

size()

template<class Scalar>

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

inline

The number of integration points.

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

• cylinderintegration.hh