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prism - Prism reference element

prism(7rheolef) rheolef-6.7 prism(7rheolef)

NAME

prism - Prism reference element

DESCRIPTION

The prism reference element is
 
        K = { 0 < x < 1 and 0 < y < 1-x and -1 < z < 1 }
 

NUMBERING

The orientation is such that triedra (01, 02, 03) is direct and all faces, see from exterior, are in the direct sens. References: P. L. Georges, "Generation automatique de maillages", page 24-, coll RMA, 16, Masson, 1994.
 
            z
            3 ---- 5
         '  | .    |
      4 .  '|      |
      |     |      |
      |     |      |
      |     0 . . .2     y
      |  '    .
      1 .  '
    x
 

IMPLEMENTATION

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 } };
 
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