Author(s)

J. Shen & D. Yoon

Abstract

Freeform shape optimization of regular quad meshes J. Shen & D. Yoon Department of Computer & Information Science, University of Michigan, Dearborn, MI 48128. Abstract In this paper we propose a new scheme of direct freeform shape optimization on polygonal meshes. The approach coilsists of three main ingredients: 1) surface partition of polygonal meshes into different patches; 2) a new perturbation scheme of mimicking B-spline deformation; 3) freeform shape optimization. Numerical experiments indicate the effectiveness of the proposed approach, compared to a conventional approach. 1 Introduction A considerable amount of work in the area of shape optimization of structures has been conducted in the past. From the perspective of geometric representation, these approaches can be categorized as either CAD-based or mesh-based. Finite element mesh is one of the most commonly-used data formats in engineering analysis and optimization. Even though many finite element meshes are generated from their

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