NAME
prism - reference element (rheolef-7.2)
DESCRIPTION
The prism reference_element(6) is
K = { 0 < x < 1 and 0 < y < 1-x and -1 < z < 1 }
x2
3 ---- 5
’ | . |
4 . ’| |
| | |
| | |
| 0 . . .2 x1
| ’ .
1 . ’
x0
The orientation is such that trihedral (01, 02, 03) is direct and all faces, see from exterior, are in the direct sens. See
P. L. Georges,
Generation automatique de maillages,
page 24, coll RMA, 16, Masson, 1994.
This three-dimensional reference_element(6) is then transformed, after the Piola geometrical application, as a prism in a 3D physical space, as a geo_element(6).
Curved high order transformed geo_element(6) Pk prisms (k >= 1) are supported for 2D or 3D geometries.
IMPLEMENTATION
This documentation has been generated from file fem/geo_element/prism.icc
const size_t
dimension = 3;
const Float measure = 1;
const size_t n_vertex = 6;
const point vertex [n_vertex] = {
point( 0, 0,-1 ),
point( 1, 0,-1 ),
point( 0, 1,-1 ),
point( 0, 0, 1 ),
point( 1, 0, 1 ),
point( 0, 1, 1 ) };
const size_t n_face = 5;
const size_t face [n_face][4] = {
{ 0, 2, 1, size_t(-1) },
{ 3, 4, 5, size_t(-1) },
{ 0, 1, 4, 3 },
{ 1, 2, 5, 4 },
{ 0, 3, 5, 2 } };
const size_t n_edge = 9;
const size_t edge [n_edge][2] = {
{ 0, 1 },
{ 1, 2 },
{ 2, 0 },
{ 0, 3 },
{ 1, 4 },
{ 2, 5 },
{ 3, 4 },
{ 4, 5 },
{ 5, 3 } };
AUTHOR
Pierre Saramito <Pierre.Saramito [AT] imag.fr>
COPYRIGHT
Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito [AT] imag.fr> GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>;. This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law.