17th GAMM-Seminar Leipzig on
Construction of Grid Generation Algorithms

Max-Planck-Institute for Mathematics in the Sciences
Inselstr. 22-26, D-04103 [O->]Leipzig
Phone: +49.341.9959.752, Fax: +49.341.9959.999

  17th GAMM-Seminar
February, 1st-3rd, 2001
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  Abstract T. Taniguchi, Sat, 15.00-15.25 Previous Contents Next  
  Mesh Generation of Arbitrary 3-Dimensional Bodies Using Only Nodes on its Surface
T. Taniguchi (Okayama University)

In case of 3-dimensional bodies with complicated geometry like strata we can obtain only the coordinates of nodes which locate on the boundaries between layers by the help of geologists, and civil engineers are asked to generate 3-dimensional finite element models of the strata and to solve physical phenomena like the groundwater flow and mass transport through the domain. In this case we seldom obtain other information like topological properties of the strata. The aim of the talk is to show an automatic method to create triangles which cover the surface of arbitrary 3-dimensional bodies and also to generate tetrahedral finite element models. We also propose four types of all-hexahedral finite element models, which are directly obtained from the tetrahedral model. The proposed method is easily introduced not only in civil engineering field but also in mechanical engineering, where CAD systems are basically used to input the shape of the object. The paper consists of three parts; (1) how to generate triangles, which can cover whole domain, using only nodes, that locate on the surface of the body, (2) how to divide the volume, which is defined by (1), into tetrahedra, and (3) how to generate all-hexahedral finite element models from tetrahedra. The authors explain these methods in detail and also show the efficiency of the methods using some examples. The Delaunay triangulation is effectively introduced for the generation of the surface and also the triangulation of the volume.

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Last updated:
30.11.2004 Impressum
Concept, Design and Realisation
[O->]Jens Burmeister (Uni Kiel), Kai Helms (MPI Leipzig)
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