3 \page basic_meshing_algos_page Basic meshing algorithms
5 \n The MESH module contains a set of meshing algorithms, which are
6 used for meshing entities (1D, 2D, 3D sub-shapes) composing
9 An algorithm represents either an implementation of a certain meshing
10 technique or an interface to the whole meshing program generating elements
11 of several dimensions.
14 <li>For meshing of 1D entities (<b>edges</b>):</li>
15 \anchor a1d_algos_anchor
17 <li><b>Wire Discretization</b> meshing algorithm - splits an edge into a
18 number of mesh segments following an 1D hypothesis.
20 <li><b>Composite Side Discretization</b> algorithm - allows to apply a 1D
21 hypothesis to a whole side of a geometrical face even if it is
22 composed of several edges provided that they form C1 curve in all
23 faces of the main shape.</li>
26 <li>For meshing of 2D entities (<b>faces</b>):</li>
29 <li><b>Triangle (Mefisto)</b> meshing algorithm - splits faces
30 into triangular elements.</li>
31 <li>\subpage quad_ijk_algo_page "Quadrangle (Mapping)" meshing
32 algorithm - splits faces into quadrangular elements.</li>
35 \image html image123.gif "Example of a triangular 2D mesh"
37 \image html image124.gif "Example of a quadrangular 2D mesh"
39 <li>For meshing of 3D entities (<b>solid objects</b>):</li>
42 <li><b>Hexahedron (i,j,k)</b> meshing algorithm - solids are
43 split into hexahedral elements thus forming a structured 3D
44 mesh. The algorithm requires that 2D mesh generated on a solid could
45 be considered as a mesh of a box, i.e. there should be eight nodes
46 shared by three quadrangles and the rest nodes should be shared by
48 \image html hexa_ijk_mesh.png "Structured mesh generated by Hexahedron (i,j,k) on a solid bound by 16 faces"
51 <li>\subpage cartesian_algo_page "Body Fitting" meshing
52 algorithm - solids are split into hexahedral elements forming
53 a Cartesian grid; polyhedra and other types of elements are generated
54 where the geometrical boundary intersects Cartesian cells.</li>
57 \image html image125.gif "Example of a tetrahedral 3D mesh"
59 \image html image126.gif "Example of a hexahedral 3D mesh"
62 Some 3D meshing algorithms, such as Hexahedron(i,j,k) also can
63 generate 3D meshes from 2D meshes, working without geometrical
66 There is also a number of more specific algorithms:
68 <li>\subpage prism_3d_algo_page "for meshing prismatic 3D shapes with hexahedra and prisms"</li>
69 <li>\subpage quad_from_ma_algo_page "for quadrangle meshing of faces with sinuous borders"</li>
70 <li> <b>Polygon per Face</b> meshing algorithm - generates one mesh
71 face (either a triangle, a quadrangle or a polygon) per a geometrical
72 face using all nodes from the face boundary.</li>
73 <li>\subpage projection_algos_page "for meshing by projection of another mesh"</li>
74 <li>\subpage import_algos_page "for meshing by importing elements from another mesh"</li>
75 <li>\subpage radial_prism_algo_page "for meshing 3D geometrical objects with cavities with hexahedra and prisms"</li>
76 <li>\subpage radial_quadrangle_1D2D_algo_page "for quadrangle meshing of disks and parts of disks"</li>
77 <li>\subpage use_existing_page "Use Edges to be Created Manually" and
78 \ref use_existing_page "Use Faces to be Created Manually" algorithms can be
79 used to create a 1D or a 2D mesh in a python script.</li>
80 <li>\subpage segments_around_vertex_algo_page "for defining the length of mesh segments around certain vertices"</li>
83 \ref constructing_meshes_page "Constructing meshes" page describes in
84 detail how to apply meshing algorithms.
86 <br><b>See Also</b> a sample TUI Script of a
87 \ref tui_defining_meshing_algos "Define Meshing Algorithm" operation.