plane_element_helper.hpp File Reference

helper functions to compute analytical integrals over plane elements More...

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Functions
template<class elem_t >
void	NiHu::plane_element_helper (elem_t const &elem, typename elem_t::x_t const &x0, typename elem_t::scalar_t r[], typename elem_t::scalar_t theta[], typename elem_t::scalar_t alpha[])
	compute angles and radii in a plane element More...
template<class matrixDerived , class vectorDerived >
void	NiHu::plane_elem_helper_mid (Eigen::DenseBase< matrixDerived > const &coords, Eigen::DenseBase< vectorDerived > const &x0, double ref_distance[], double theta_lim[], double theta0[])
template<class V >
Eigen::Matrix< double, 3, 3 >	NiHu::plane_elem_transform (Eigen::DenseBase< V > const &v1_in, Eigen::DenseBase< V > const &v2_in)
	Transformation matrix to get planar element parallel to the x-y plane. More...

Detailed Description

helper functions to compute analytical integrals over plane elements

Definition in file plane_element_helper.hpp.

Function Documentation

plane_elem_transform()

template<class V >

Eigen::Matrix<double, 3, 3> NiHu::plane_elem_transform	(	Eigen::DenseBase< V > const &	v1_in,
		Eigen::DenseBase< V > const &	v2_in
	)

Transformation matrix to get planar element parallel to the x-y plane.

Template Parameters

V	Vector type, must be an Eigen vector

Returns

Transformation matrix of 3x3 type

Using the transformation matrix, the element can be projected such that it becomes parallel with the x-y plane. Note that as there is no translation in the transform, the element will not necessarily be shifted into the z=0 plane.

Todo:

optimize out these instantiations please

Definition at line 111 of file plane_element_helper.hpp.

plane_element_helper()

template<class elem_t >

void NiHu::plane_element_helper	(	elem_t const &	elem,
		typename elem_t::x_t const &	x0,
		typename elem_t::scalar_t	r[],
		typename elem_t::scalar_t	theta[],
		typename elem_t::scalar_t	alpha[]
	)

compute angles and radii in a plane element

Parameters

[in]	elem	the element
[in]	x0	the reference position
[out]	r	the radii from the collocation point
[out]	theta	the angles between the radii
[out]	alpha	the angles between the radii and the sides

Todo:

check if elem_t::num_corners here

Definition at line 40 of file plane_element_helper.hpp.