doc/salome/gui/SMESH/input/connectivity.rst

   1 .. _connectivity_page:
   2
   3 ******************************
   4 Nodal connectivity of elements
   5 ******************************
   6
   7 The following images show order of nodes in correctly defined elements.
   8
   9 +------------------------------------------------------------------------------+
  10 | Edge (segment): linear and quadratic                                         |
  11 |     .. image:: ../images/connectivity_edge.png                               |
  12 |               :align: center                                                 |
  13 +------------------------------------------------------------------------------+
  14 | Triangle: linear, quadratic and bi-quadratic                                 |
  15 |     .. image:: ../images/connectivity_tria.png                               |
  16 |               :align: center                                                 |
  17 +------------------------------------------------------------------------------+
  18 | Quadrangle: linear, quadratic and bi-quadratic                               |
  19 |     .. image:: ../images/connectivity_quad.png                               |
  20 |               :align: center                                                 |
  21 +------------------------------------------------------------------------------+
  22 | Polygon: linear and quadratic                                                |
  23 |     .. image:: ../images/connectivity_polygon.png                            |
  24 |               :align: center                                                 |
  25 +------------------------------------------------------------------------------+
  26 | Tetrahedron: linear and quadratic                                            |
  27 |     .. image:: ../images/connectivity_tetra.png                              |
  28 |               :align: center                                                 |
  29 +------------------------------------------------------------------------------+
  30 | Hexahedron: linear, quadratic and tri-quadratic                              |
  31 |       .. image:: ../images/connectivity_hexa.png                             |
  32 |               :align: center                                                 |
  33 +------------------------------------------------------------------------------+
  34 | Pentahedron: linear and quadratic                                            |
  35 |       .. image:: ../images/connectivity_penta.png                            |
  36 |               :align: center                                                 |
  37 +------------------------------------------------------------------------------+
  38 | Pyramid: linear and quadratic                                                |
  39 |       .. image:: ../images/connectivity_pyramid.png                          |
  40 |               :align: center                                                 |
  41 +------------------------------------------------------------------------------+
  42 | Hexagonal prism                                                              |
  43 |       .. image:: ../images/connectivity_hex_prism.png                        |
  44 |               :align: center                                                 |
  45 +------------------------------------------------------------------------------+
  46 | Polyhedron is defined by                                                     |
  47 |       * a sequence of nodes defining all facets                              |
  48 |       * a sequence of number of nodes per facet                              |
  49 |                                                                              |
  50 |      **Nodes**:                                                              |
  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                  |
  54 |                                                                              |
  55 |      **Quantity** of nodes per facet:                                        |
  56 |      NbNodes_in_Facet1, NbNodes_in_Facet2, ..., NbNodes_in_FacetM            |
  57 |                                                                              |
  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 ]                               |
  61 |                                                                              |
  62 |       .. image:: ../images/connectivity_polyhedron.png                       |
  63 |               :align: center                                                 |
  64 |                                                                              |
  65 |      Order of nodes of a facet must assure outward direction of its normal.  |
  66 +------------------------------------------------------------------------------+
  67