The MESH module contains a set of meshing algorithms, which are used for meshing entities (1D, 2D, 3D sub-shapes) composing geometrical objects.
+.. note:: Algorithms added to the module as plug-ins are described in documentation of the plug-ins (menu **Help / User's Guide / Mesh module / Plugins**).
+
An algorithm represents either an implementation of a certain meshing technique or an interface to the whole meshing program generating elements of several dimensions.
.. _a1d_algos_anchor:
-1D Entities
-===========
-
* For meshing of 1D entities (**edges**):
-* **Wire Discretization** meshing algorithm - splits an edge into a number of mesh segments following an 1D hypothesis.
-* **Composite Side Discretization** algorithm - allows to apply a 1D hypothesis to a whole side of a geometrical face even if it is composed of several edges provided that they form C1 curve in all faces of the main shape.
-* For meshing of 2D entities (**faces**):
+ * **Wire Discretization** meshing algorithm - splits an edge into a number of mesh segments following an 1D hypothesis.
+ * **Composite Side Discretization** algorithm - allows to apply a 1D hypothesis to a whole side of a geometrical face even if it is composed of several edges provided that they form C1 curve in all faces of the main shape.
- * **Triangle: Mefisto** meshing algorithm - splits faces into triangular elements.
- * :ref:`quad_ijk_algo_page` meshing algorithm - splits faces into quadrangular elements.
+* For meshing of 2D entities (**faces**):
+
+ * **Triangle: Mefisto** meshing algorithm - splits faces into triangular elements.
+ * :ref:`Quadrangle: Mapping <quad_ijk_algo_page>` meshing algorithm - splits faces into quadrangular elements.
.. image:: ../images/image123.gif
:align: center
.. centered::
- "Example of a triangular 2D mesh"
+ Example of a triangular 2D mesh
.. image:: ../images/image124.gif
:align: center
.. centered::
- "Example of a quadrangular 2D mesh"
-
- * For meshing of 3D entities (**solid objects**):
+ Example of a quadrangular 2D mesh
+* For meshing of 3D entities (**solid objects**):
- * **Hexahedron (i,j,k)** meshing algorithm - solids are split into hexahedral elements thus forming a structured 3D mesh. The algorithm requires that 2D mesh generated on a solid could be considered as a mesh of a box, i.e. there should be eight nodes shared by three quadrangles and the rest nodes should be shared by four quadrangles.
+ * **Hexahedron (i,j,k)** meshing algorithm - solids are split into hexahedral elements thus forming a structured 3D mesh. The algorithm requires that 2D mesh generated on a solid could be considered as a mesh of a box, i.e. there should be eight nodes shared by three quadrangles and the rest nodes should be shared by four quadrangles.
.. image:: ../images/hexa_ijk_mesh.png
:align: center
- .. centered::
- "Structured mesh generated by Hexahedron (i,j,k) on a solid bound by 16 faces"
-
-
- * :ref:`cartesian_algo_page` meshing algorithm - solids are split into hexahedral elements forming a Cartesian grid; polyhedra and other types of elements are generated where the geometrical boundary intersects Cartesian cells.
- .. image:: ../images/image125.gif
- :align: center
-
- .. centered::
- "Example of a tetrahedral 3D mesh"
-
- .. image:: ../images/image126.gif
- :align: center
-
- .. centered::
- "Example of a hexahedral 3D mesh"
+ .. centered::
+ Structured mesh generated by Hexahedron (i,j,k) on a solid bound by 16 faces
+ * :ref:`Body Fitting <cartesian_algo_page>` meshing algorithm - solids are split into hexahedral elements forming a Cartesian grid; polyhedra and other types of elements are generated where the geometrical boundary intersects Cartesian cells.
-Some 3D meshing algorithms, such as Hexahedron(i,j,k) also can
-generate 3D meshes from 2D meshes, working without geometrical
-objects.
+ Some 3D meshing algorithms, such as Hexahedron(i,j,k) also can
+ generate 3D meshes from 2D meshes, working without geometrical objects.
-There is also a number of more specific algorithms:
+* There is also a number of more specific algorithms:
- * :ref:`prism_3d_algo_page` - for meshing prismatic 3D shapes with hexahedra and prisms.
- * :ref:`quad_from_ma_algo_page` - for quadrangle meshing of faces with sinuous borders and rings.
- * **Polygon per Face** meshing algorithm - generates one mesh face (either a triangle, a quadrangle or a polygon) per a geometrical face using all nodes from the face boundary.
- * :ref:`projection_algos_page` - for meshing by projection of another mesh.
- * :ref:`import_algos_page` - for meshing by importing elements from another mesh.
- * :ref:`radial_prism_algo_page` - for meshing 3D geometrical objects with cavities with hexahedra and prisms.
- * :ref:`radial_quadrangle_1D2D_algo_page` - for quadrangle meshing of disks and parts of disks.
- * :ref:`use_existing_page` - to create a 1D or a 2D mesh in a python script.
- * :ref:`segments_around_vertex_algo_page` - for defining the length of mesh segments around certain vertices.
+ * :ref:`Extrusion 3D <prism_3d_algo_page>` - for meshing prismatic 3D shapes with hexahedra and prisms.
+ * :ref:`Quadrangle: Medial Axis Projection <quad_from_ma_algo_page>` - for quadrangle meshing of faces with sinuous borders and rings.
+ * **Polygon per Face** meshing algorithm - generates one mesh face (either a triangle, a quadrangle or a polygon) per a geometrical face using all nodes from the face boundary.
+ * :ref:`Projection algorithms <projection_algos_page>` - for meshing by projection of another mesh.
+ * :ref:`Import algorithms <import_algos_page>` - for meshing by importing elements from another mesh.
+ * :ref:`Radial Prism <radial_prism_algo_page>` - for meshing 3D geometrical objects with cavities with hexahedra and prisms.
+ * :ref:`Radial Quadrangle 1D-2D <radial_quadrangle_1D2D_algo_page>` - for quadrangle meshing of disks and parts of disks.
+ * :ref:`Use Faces/Edges to be Created Manually <use_existing_page>` - to create a 1D or a 2D mesh in a python script.
+ * :ref:`Segments around Vertex <segments_around_vertex_algo_page>` - for defining the length of mesh segments around certain vertices.
:ref:`constructing_meshes_page` page describes in detail how to apply meshing algorithms.
.. toctree::
- :maxdepth: 2
-
- quad_ijk_algo.rst
- cartesian_algo.rst
- prism_3d_algo.rst
- quad_from_ma_algo.rst
- projection_algos.rst
- use_existing_algos.rst
- radial_prism_algo.rst
- radial_quadrangle_1D2D_algo.rst
- define_mesh_by_script.rst
- segments_around_vertex_algo.rst
+ :maxdepth: 2
+ :hidden:
+
+ quad_ijk_algo.rst
+ cartesian_algo.rst
+ prism_3d_algo.rst
+ quad_from_ma_algo.rst
+ projection_algos.rst
+ use_existing_algos.rst
+ radial_prism_algo.rst
+ radial_quadrangle_1D2D_algo.rst
+ define_mesh_by_script.rst
+ segments_around_vertex_algo.rst
