3 ******************************
4 Nodal connectivity of elements
5 ******************************
7 The following images show order of nodes in correctly defined elements.
9 +------------------------------------------------------------------------------+
10 | Edge (segment): linear and quadratic |
11 | .. image:: ../images/connectivity_edge.png |
13 +------------------------------------------------------------------------------+
14 | Triangle: linear, quadratic and bi-quadratic |
15 | .. image:: ../images/connectivity_tria.png |
17 +------------------------------------------------------------------------------+
18 | Quadrangle: linear, quadratic and bi-quadratic |
19 | .. image:: ../images/connectivity_quad.png |
21 +------------------------------------------------------------------------------+
22 | Polygon: linear and quadratic |
23 | .. image:: ../images/connectivity_polygon.png |
25 +------------------------------------------------------------------------------+
26 | Tetrahedron: linear and quadratic |
27 | .. image:: ../images/connectivity_tetra.png |
29 +------------------------------------------------------------------------------+
30 | Hexahedron: linear, quadratic and tri-quadratic |
31 | .. image:: ../images/connectivity_hexa.png |
33 +------------------------------------------------------------------------------+
34 | Pentahedron: linear and quadratic |
35 | .. image:: ../images/connectivity_penta.png |
37 +------------------------------------------------------------------------------+
38 | Pyramid: linear and quadratic |
39 | .. image:: ../images/connectivity_pyramid.png |
41 +------------------------------------------------------------------------------+
43 | .. image:: ../images/connectivity_hex_prism.png |
45 +------------------------------------------------------------------------------+
46 | Polyhedron is defined by |
47 | * a sequence of nodes defining all facets |
48 | * a sequence of number of nodes per facet |
51 | Node1_of_Facet1, Node2_of_Facet1, ..., NodeN_of_Facet1, |
52 | Node1_of_Facet2, Node2_of_Facet2, ..., NodeN_of_Facet2, |
53 | Node1_of_FacetM, Node2_of_FacetM, ..., NodeN_of_FacetM |
55 | **Quantity** of nodes per facet: |
56 | NbNodes_in_Facet1, NbNodes_in_Facet2, ..., NbNodes_in_FacetM |
58 | For example the polyhedron shown in the image below is defined by nodes |
59 | [ 1,2,3, 1,4,5,2, 2,5,6,3, 3,6,4,1, 4,7,9,5, 5,9,8,6, 6,8,7,4, 7,8,9 ] |
60 | and quantities [ 3, 4, 4, 4, 4, 4, 4, 3 ] |
62 | .. image:: ../images/connectivity_polyhedron.png |
65 | Order of nodes of a facet must assure outward direction of its normal. |
66 +------------------------------------------------------------------------------+