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A Boundary Method for Shape Design Sensitivity Analysis in Shape Optimization Problems and its Application  

Kwak Hyun-Gu (한국항공대학교 항공우주 및 기계공학과)
Choi Joo-Ho (한국항공대학교 항공우주 및 기계공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.18, no.3, 2005 , pp. 255-263 More about this Journal
Abstract
This paper proposes an efficient boundary-based technique for the shape design sensitivity analysis in various disciplines. An analytical sensitivity formula in the form of a boundary integral is derived based on the continuum formulation for a general functional defined in the problems. The formula can be conveniently used for gradient computation in a variety of shape design problems. The advantage of using a boundary-based method is that the shape variation vectors are needed only on the boundary, not over the whole domain. The boundary shape variation vectors are conveniently computed by using finite. Perturbations of the shape geometry instead of complex analytical differentiation of the geometry functions. The potential flow problems and fillet problem are chosen to illustrate the efficiency of the proposed methodology.
Keywords
boundary method; design sensitivity analysis; shape optimization; seepage; supercavitation; filiet;
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