دوره 1، شماره 1 - ( 12-1389 )                   جلد 1 شماره 1 صفحات 73-90 | برگشت به فهرست نسخه ها


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Shojaee S, Mohammadian M. A BINARY LEVEL SET METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION. International Journal of Optimization in Civil Engineering. 2011; 1 (1) :73-90
URL: http://ijoce.iust.ac.ir/article-1-8-fa.html
A BINARY LEVEL SET METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION. دانشگاه علم و صنعت ایران. 1389; 1 (1) :73-90

URL: http://ijoce.iust.ac.ir/article-1-8-fa.html


چکیده:   (5358 مشاهده)
This paper proposes an effective algorithm based on the level set method (LSM) to solve shape and topology optimization problems. Since the conventional LSM has several limitations, a binary level set method (BLSM) is used instead. In the BLSM, the level set function can only take 1 and -1 values at convergence. Thus, it is related to phase-field methods. We don’t need to solve the Hamilton-Jacobi equation, so it is free of the CFL condition and the reinitialization scheme. This favorable properties lead to a great time advantage in this method. In this paper, the BLSM is implemented with the additive operator splitting (AOS) scheme and several numerical issues of the implementation are discussed. The proposed scheme is much more efficient than the conventional level set method. Several 2D examples are presented which demonstrate the effectiveness and robustness of the proposed method.
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نوع مطالعه: پژوهشي | موضوع مقاله: Optimal design
دریافت: ۱۳۹۰/۸/۲

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