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