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SPR — A New Method for Mesh Improvement and Boundary Recovery

In: Computational Mechanics

Author

Listed:
  • Jianfei Liu

    (College of Engineering, Peking University, LTCS, Department of Mechanics and Aerospace Engineering)

  • Shuli Sun

    (College of Engineering, Peking University, LTCS, Department of Mechanics and Aerospace Engineering)

  • Yongqiang Chen

    (College of Engineering, Peking University, LTCS, Department of Mechanics and Aerospace Engineering)

Abstract

There are two important problems in the context of Delaunay based mesh generation namely boundary recovery after Delaunay tetrahedralization and sliver removal. Both of them can be solved to a large extent using a new method, the so called small polyhedron reconnection or SPR for abbreviation. For sliver remove, an operation is developed according to the idea of SPR, which seeks for the optimal tetrahedralization of a polyhedron with a certain number of vertexes and faces (typically composed of 20 to 40 tetrahedral elements). The SPR operation is quite effective in the improvement of mesh quality and more suitable than elementary flips when combined with smoothing approach. For boundary recovery, two other operations are developed: 1) create a segment in the mesh and 2) remove a segment from the mesh. Both operations are special cases of the general SPR operation with extra geometrical constrains and they can be used to recover boundaries after Delaunay triangulation without inserting extra nodes. In this paper the SPR and its application will be introduced, then some recently improvement on its time efficiency is presented.

Suggested Citation

  • Jianfei Liu & Shuli Sun & Yongqiang Chen, 2007. "SPR — A New Method for Mesh Improvement and Boundary Recovery," Springer Books, in: Computational Mechanics, pages 180-186, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_16
    DOI: 10.1007/978-3-540-75999-7_16
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