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Subdivision Templates for Converting a Non-conformal Hex-Dominant Mesh to a Conformal Hex-Dominant Mesh without Pyramid Elements

Yamakawa, Soji, Iacopo Gentilini, and Kenji Shimada

Proceedings, 17th International Meshing Roundtable, Springer-Verlag, pp.497-512, October 12-15 2008

IMR
PROCEEDINGS

17th International Meshing Roundtable
Pittsburgh, Pennsylvania, U.S.A.
October 12-15, 2008

Department of Mechanical Engineering Carnegie Mellon University

Abstract
This paper presents a computational method for converting a non-conformal hexdominant mesh to a conformal hex-dominant mesh without help of pyramid elements. During the conversion, the proposed method subdivides a non-conformal element by applying a subdivision template and conformal elements by a conventional subdivision scheme. Although many finite element solvers accept mixed elements, some of them require a mesh to be conformal without a pyramid element. None of the published automated methods could create a conformal hex-dominant mesh without help of pyramid elements, and therefore the applicability of the hex-dominant mesh has been significantly limited. The proposed method takes a nonconformal hex-dominant mesh as an input and converts it to a conformal hex-dominant mesh that consists only of hex, tet, and prism elements. No pyramid element will be introduced. The conversion thus considerably increases the applicability of the hex-dominant mesh in many finite element solvers.

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