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Commit 66335f2a authored by Koen Hillewaert's avatar Koen Hillewaert
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added description of higher order elements

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......@@ -3133,6 +3133,42 @@ with the edges).
@item 19
13-node second order pyramid (5 nodes associated with the vertices and 8
with the edges).
@item 20
9-node third order incomplete triangle (3 nodes associated with the vertices, 6
with the edges)
@item 21
10-node third order triangle (3 nodes associated with the vertices, 6
with the edges, 1 with the face)
@item 22
12-node fourth order incomplete triangle (3 nodes associated with the vertices, 9
with the edges)
@item 23
15-node fourth order triangle (3 nodes associated with the vertices, 9
with the edges, 3 with the face)
@item 24
15-node fifth order incomplete triangle (3 nodes associated with the vertices, 12
with the edges)
@item 25
21-node fifth order complete triangle (3 nodes associated with the vertices, 12
with the edges, 6 with the face)
@item 26
4-node third order edge (2 nodes associated with the vertices, 2
internal to the edge)
@item 27
5-node fourth order edge (2 nodes associated with the vertices, 3
internal to the edge)
@item 28
6-node fifth order edge (2 nodes associated with the vertices, 4
internal to the edge)
@item 29
20-node third order tetrahedron (4 nodes associated with the vertices,
12 with the edges, 4 with the faces)
@item 30
35-node fourth order tetrahedron (4 nodes associated with the vertices,
18 with the edges, 12 with the faces, 1 in the volume)
@item 31
56-node fifth order tetrahedron (4 nodes associated with the vertices,
24 with the edges, 24 with the faces, 4 in the volume)
@end table
See below for the ordering of the nodes.
......@@ -3342,27 +3378,27 @@ are defined as follows.
@smallexample
@group
Line: Line3:
Line: Line3: Line4:
0----------1 --> u 0-----2----1
0----------1 --> u 0-----2----1 0----2----3----1
@end group
@end smallexample
@smallexample
@group
Triangle: Triangle6:
v
^
|
2 2
|`\ |`\
| `\ | `\
| `\ 5 `4
| `\ | `\
| `\ | `\
0----------1 --> u 0-----3----1
Triangle: Triangle6: Triangle9/10: Triangle12/15:
v
^ 2
| | \
2 2 2 9 8
|`\ |`\ | \ | \
| `\ | `\ 7 6 10 (14) 7
| `\ 5 `4 | \ | \
| `\ | `\ 8 (9) 5 11 (12) (13) 6
| `\ | `\ | \ | \
0----------1 --> u 0-----3----1 0---3---4---1 0---3---4---5---1
@end group
@end smallexample
......@@ -3393,8 +3429,8 @@ Tetrahedron: Tetrahedron10:
.
,/
/
2 2
,/|`\ ,/|`\
2 2
,/|`\ ,/|`\
,/ | `\ ,/ | `\
,/ '. `\ ,6 '. `5
,/ | `\ ,/ 8 `\
......@@ -3479,6 +3515,18 @@ Pyramid: Pyramid13: Pyramid14:
@end group
@end smallexample
The nodes of a curved element are numbered in the following order:
@itemize --
@item the element principal vertices;
@item the internal nodes for each edge;
@item the internal nodes for each face;
@item the volume internal nodes.
@end itemize
The numbering for face and volume internal nodes is recursive, ie. the
numbering follows that of the nodes of an embedded face / volume. The
higher order nodes are assumed to be equispaced on the element.
@c -------------------------------------------------------------------------
@c Legacy formats
@c -------------------------------------------------------------------------
......
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