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80 lines
3.1 KiB
Plaintext
80 lines
3.1 KiB
Plaintext
/*!
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\page basic_meshing_algos_page Basic meshing algorithms
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\n The MESH module contains a set of meshing algorithms, which are
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used for meshing entities (1D, 2D, 3D sub-shapes) composing
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geometrical objects.
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An algorithm represents either an implementation of a certain meshing
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technique or an interface to the whole meshing program generating elements
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of several dimensions.
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<ul>
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<li>For meshing of 1D entities (<b>edges</b>):</li>
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\anchor a1d_algos_anchor
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<ul>
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<li><em>Wire Discretization</em> meshing algorithm - splits an edge into a
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number of mesh segments following an 1D hypothesis.
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</li>
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<li><em>Composite Side Discretization</em> algorithm - allows to apply a 1D
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hypothesis to a whole side of a geometrical face even if it is
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composed of several edges provided that they form C1 curve in all
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faces of the main shape.</li>
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</ul>
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<li>For meshing of 2D entities (<b>faces</b>):</li>
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<ul>
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<li><em>Triangle (Mefisto)</em> meshing algorithm - splits faces
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into triangular elements.</li>
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<li>\subpage quad_ijk_algo_page "Quadrangle (Mapping)" meshing
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algorithm - splits faces into quadrangular elements.</li>
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</ul>
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\image html image123.gif "Example of a triangular 2D mesh"
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\image html image124.gif "Example of a quadrangular 2D mesh"
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<li>For meshing of 3D entities (<b>solid objects</b>):</li>
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<ul>
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<li><em>Hexahedron (i,j,k)</em>meshing algorithm - 6-sided solids are
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split into hexahedral (cuboid) elements.</li>
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<li>\subpage cartesian_algo_page "Body Fitting" meshing
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algorithm - solids are split into hexahedral elements forming
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a Cartesian grid; polyhedra and other types of elements are generated
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where the geometrical boundary intersects Cartesian cells.</li>
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</ul>
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\image html image125.gif "Example of a tetrahedral 3D mesh"
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\image html image126.gif "Example of a hexahedral 3D mesh"
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</ul>
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Some 3D meshing algorithms, such as Hexahedron(i,j,k) and some
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commercial ones, also can generate 3D meshes from 2D meshes, working
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without geometrical objects.
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There is also a number of more specific algorithms:
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<ul>
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<li>\subpage prism_3d_algo_page "for meshing prismatic 3D shapes"</li>
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<li>\subpage quad_from_ma_algo_page "for meshing faces with sinuous borders"</li>
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<li>\subpage projection_algos_page "for meshing by projection of another mesh"</li>
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<li>\subpage import_algos_page "for meshing by importing elements from another mesh"</li>
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<li>\subpage radial_prism_algo_page "for meshing geometrical objects with cavities"</li>
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<li>\subpage radial_quadrangle_1D2D_algo_page "for meshing special 2d faces (circles and part of circles)"</li>
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<li>\subpage use_existing_page "Use Edges to be Created Manually" and
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\ref use_existing_page "Use Faces to be Created Manually" algorithms can be
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used to create a 1D or a 2D mesh in a python script.</li>
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<li>\subpage segments_around_vertex_algo_page "for defining the local size of elements around a certain node"</li>
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</ul>
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\ref constructing_meshes_page "Constructing meshes" page describes in
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detail how to apply meshing algorithms.
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<br><b>See Also</b> a sample TUI Script of a
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\ref tui_defining_meshing_algos "Define Meshing Algorithm" operation.
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*/
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