.. _connectivity_page: ****************************** Nodal connectivity of elements ****************************** 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. | +------------------------------------------------------------------------------+