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88 lines
3.7 KiB
Plaintext
88 lines
3.7 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><b>Wire Discretization</b> 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><b>Composite Side Discretization</b> 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><b>Triangle: Mefisto</b> 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><b>Hexahedron (i,j,k)</b> meshing algorithm - solids are
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split into hexahedral elements thus forming a structured 3D
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mesh. The algorithm requires that 2D mesh generated on a solid could
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be considered as a mesh of a box, i.e. there should be eight nodes
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shared by three quadrangles and the rest nodes should be shared by
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four quadrangles.
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\image html hexa_ijk_mesh.png "Structured mesh generated by Hexahedron (i,j,k) on a solid bound by 16 faces"
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</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) also can
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generate 3D meshes from 2D meshes, working without geometrical
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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 "Extrusion 3D" - for meshing prismatic 3D shapes with hexahedra and prisms.</li>
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<li>\subpage quad_from_ma_algo_page "Quadrangle: Medial Axis Projection" - for quadrangle meshing of faces with sinuous borders and rings.</li>
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<li> <b>Polygon per Face</b> meshing algorithm - generates one mesh
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face (either a triangle, a quadrangle or a polygon) per a geometrical
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face using all nodes from the face boundary.</li>
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<li>\subpage projection_algos_page "Projection algorithms" - for meshing by projection of another mesh.</li>
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<li>\subpage import_algos_page "Import algorithms" - for meshing by importing elements from another mesh.</li>
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<li>\subpage radial_prism_algo_page "Radial Prism" - for meshing 3D geometrical objects with cavities with hexahedra and prisms.</li>
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<li>\subpage radial_quadrangle_1D2D_algo_page "Radial Quadrangle 1D-2D" - for quadrangle meshing of disks and parts of disks.</li>
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<li>\subpage use_existing_page "Use Faces/Edges to be Created Manually" - to create a 1D or a 2D mesh in a python script.</li>
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<li>\subpage segments_around_vertex_algo_page "Segments around Vertex" - for defining the length of mesh segments around certain vertices.</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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