cylinderintegration.hh File Reference

Integration over cylindrical and elliptic cylindrical domains Lowest order integration formulas that are mostly useful to evenly distribute mass in a cylindrical domain. More...

#include <cmath>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <utility>
#include <tuple>
#include <limits>
#include <dune/common/fvector.hh>
#include <dumux/common/math.hh>
#include <dumux/multidomain/embedded/circlepoints.hh>

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Description

Integration over cylindrical and elliptic cylindrical domains Lowest order integration formulas that are mostly useful to evenly distribute mass in a cylindrical domain.

Classes
class	Dumux::EmbeddedCoupling::CylinderIntegration< Scalar >
	Helper class to integrate over a cylinder domain. More...
class	Dumux::EmbeddedCoupling::EllipticCylinderIntegration< Scalar >
	Helper class to integrate over an elliptic cylinder domain. More...
class	Dumux::EmbeddedCoupling::EllipseIntegration< Scalar >
	Helper class to integrate over an elliptic domain. More...

Namespaces
namespace	Dumux
namespace	Dumux::EmbeddedCoupling
namespace	Dumux::EmbeddedCoupling::Detail

Functions
template<class GlobalPosition>
bool	Dumux::EmbeddedCoupling::Detail::pointInEllipse (const GlobalPosition &p, const GlobalPosition &center, const GlobalPosition &firstAxis, const GlobalPosition &secondAxis, const GlobalPosition &normal, const typename GlobalPosition::value_type a, const typename GlobalPosition::value_type b)
	check if a point is in an ellipse
template<class GlobalPosition>
std::pair< std::vector< GlobalPosition >, typename GlobalPosition::value_type >	Dumux::EmbeddedCoupling::Detail::ellipseIntegrationPoints (const GlobalPosition &center, const GlobalPosition &firstUnitAxis, const GlobalPosition &secondUnitAxis, typename GlobalPosition::value_type a, typename GlobalPosition::value_type b, const GlobalPosition &normal, typename GlobalPosition::value_type characteristicLength)
	construct evenly distributed integration points on an ellipse