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9.3 Node ordering

For all mesh and post-processing file formats, the reference elements are defined as follows. For high-order elements, the ordering of the edges/quad faces defines the ordering of high-order vertices associated with edges/faces.

 
Point:
        v
        |
        |
   -----1-----u
        |
        |
 
Line:
                  edge 1: nodes 1 2
        v
        |
        |
   --1-----2--u
        |
        |
 
Triangle:
                  edge 1: nodes 1 2
   v                   2:       2 3
   |                   3:       3 1
   |
   3
   |\
   | \
   |__\___u
   1   2
 
Quadrangle:
                  edge 1: nodes 1 2   quad. face 1: nodes 1 2 3 4
        v              2:       2 3
        |              3:       3 4
     4--|--3           4:       4 1
     |  |  |
   -----------u
     |  |  |
     1--|--2
        |
 
Tetrahedron:
                  edge 1: nodes 1 2
   v                   2:       2 3
   |                   3:       3 1
   |                   4:       4 1
   |                   5:       4 3
   3                   6:       4 2
   |\                
   | \
   |__\2_____u
   1\ /
     \4
      \
       w
 
Hexahedron:
                  edge 1: nodes 1 2   quad. face 1: nodes 1 4 3 2
        v              2:       1 4              2:       1 2 6 5
        |              3:       1 5              3:       1 5 8 4
        |              4:       2 3              4:       2 3 7 6
   4----|--3           5:       2 6              5:       3 4 8 7
   |\   |  |\          6:       3 4              6:       5 6 7 8
   | 8-------7         7:       3 7
   | |   ----|---u     8:       4 8
   1-|---\-2 |         9:       5 6
    \|    \ \|        10:       5 8
     5-----\-6        11:       6 7
            \         12:       7 8
             w
 
Prism:
                  edge 1: nodes 1 2   quad. face 1: nodes 1 2 5 4
      v                2:       1 3              2:       1 4 6 3
    3 |                3:       1 4              3:       2 3 6 5
    |\|                4:       2 3
    | |                5:       2 5
    1_|2               6:       3 6
     \| 6              7:       4 5
      |_|_\___u        8:       4 6
       \|  \           9:       5 6
        4 __5
         \
          \
           w
 
Pyramid:
                  edge 1: nodes 1 2   quad. face 1: nodes 1 4 3 2
        v              2        1 4
        |              3        1 5
        |              4        2 3
    4---|---3          5        2 5
    | \ |  /|          6        3 4
    |  \ -/-|---u      7        3 5
    |  / 5\ |          8        4 5
    1/----\-2
           \
            \
             w

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