smesh/doc/salome/gui/SMESH/input/connectivity.rst
2018-03-30 18:43:58 +03:00

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.. _connectivity_page:
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Nodal connectivity of elements
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The following images show order of nodes in correctly defined elements.
+------------------------------------------------------------------------------+
| Edge (segment): linear and quadratic |
| .. image:: ../images/connectivity_edge.png |
| :align: center |
+------------------------------------------------------------------------------+
| Triangle: linear, quadratic and bi-quadratic |
| .. image:: ../images/connectivity_tria.png |
| :align: center |
+------------------------------------------------------------------------------+
| Quadrangle: linear, quadratic and bi-quadratic |
| .. image:: ../images/connectivity_quad.png |
| :align: center |
+------------------------------------------------------------------------------+
| Polygon: linear and quadratic |
| .. image:: ../images/connectivity_polygon.png |
| :align: center |
+------------------------------------------------------------------------------+
| Tetrahedron: linear and quadratic |
| .. image:: ../images/connectivity_tetra.png |
| :align: center |
+------------------------------------------------------------------------------+
| Hexahedron: linear, quadratic and tri-quadratic |
| .. image:: ../images/connectivity_hexa.png |
| :align: center |
+------------------------------------------------------------------------------+
| Pentahedron: linear and quadratic |
| .. image:: ../images/connectivity_penta.png |
| :align: center |
+------------------------------------------------------------------------------+
| Pyramid: linear and quadratic |
| .. image:: ../images/connectivity_pyramid.png |
| :align: center |
+------------------------------------------------------------------------------+
| Hexagonal prism |
| .. image:: ../images/connectivity_hex_prism.png |
| :align: center |
+------------------------------------------------------------------------------+
| Polyhedron is defined by |
| * a sequence of nodes defining all facets |
| * a sequence of number of nodes per facet |
| |
| **Nodes**: |
| Node1_of_Facet1, Node2_of_Facet1, ..., NodeN_of_Facet1, |
| Node1_of_Facet2, Node2_of_Facet2, ..., NodeN_of_Facet2, |
| Node1_of_FacetM, Node2_of_FacetM, ..., NodeN_of_FacetM |
| |
| **Quantity** of nodes per facet: |
| NbNodes_in_Facet1, NbNodes_in_Facet2, ..., NbNodes_in_FacetM |
| |
| For example the polyhedron shown in the image below is defined by nodes |
| [ 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 ] |
| and quantities [ 3, 4, 4, 4, 4, 4, 4, 3 ] |
| |
| .. image:: ../images/connectivity_polyhedron.png |
| :align: center |
| |
| Order of nodes of a facet must assure outward direction of its normal. |
+------------------------------------------------------------------------------+