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An Approach for Generating Meshes Similar to A Reference Mesh

Yamada, Atsushi, Keisuke Inoue, Takayuki Itoh and Kenji Shimada

Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.101-109, October 2000


9th International Meshing Roundtable
October 2-5, 2000, New Orleans, Louisiana

Atsushi Yamada, Keisuke Inoue, Takayuki Itoh
Tokyo Research Laboratory, IBM Japan, Ltd., 1 623-14, Shimotsuruma, Yamato-shi, Kanagawa-ken, 242-8502, Japan
Kenji Shimada
Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A

This paper proposes an algorithm for generating a mesh that is similar to a given reference mesh in particular features. In the design process, similar kinds of meshes are generated for the same shape or similar shapes repeatedly. Once a mesh having the desired features is obtained, our algorithm can generate the succeeding meshes efficiently by imitating a selected set of features of the reference mesh. The algorithm (1) captures the significant features (element size, element orientation, and anisotropy) of the reference mesh in the form of a tensor field, (2) transforms the tensor field to modify the features, and (3) generates a refined mesh according to the modified tensor field. The results show that the generated mesh globally preserves specified features of the reference mesh. A mesh having the desired qualities will be easily obtained with just a few local mesh modifications.

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