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unstructured mesh generation with strictly constrained boundary in simple space

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Old   January 29, 2015, 10:44
Question unstructured mesh generation with strictly constrained boundary in simple space
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Gou Jinlan
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I want to know if there are some kinds of unstructured mesh generation method to meet my special demand.

A simple unstructured mesh in 3D (such as a hexahedron) need to be further refined. Some edges (arbitrary edges) of this hexahedron are bisection by user. Then some of the six faces may contain the orignial shape while some will be split into smaller shape consist of trilateral and quadrilateral in the specific manner, and these child faces should be fixed in the whole process. To complete the mesh refinement, all the points (consist of original 8 points of the hexahedron, middle points of the split edge, maybe the centroid of the original face and maybe several inner inserted points. The later two points can exist or not) should connected in one manner to form several unstructured mesh consist of hexahedron, tetrahedron, pyramid and prism.

To my knowledge, my demand likes the Constrained Delaunay Triangulation method execpt some things in 3D, while in 2D they are the same thing.

1. The constrained face may be quadrahedral while in Constained Delaunay Triangulation method only allow trilateral. If we can assign two neighboring trilateral connected to the same point to form tetrahedron, this problem can be neglected.

2. The boundary faces should be strickly constrained while in Constained Delaunay Triangulation method the boundary faces usually are piecewise constrained. But different with the usually used case for tetrahedron unstructured mesh generation case with Constrained Delaunay Triangulation method, my boundary shape are closed and simple.

The most important thing in my problem is to strictly constrained the boundary faces. Several inner points can be inserted to complete the refinement.
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