Volume 1, Number 1 (3-2011)                   2011, 1(1): 73-90 | Back to browse issues page


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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-en.html

Abstract:   (5584 Views)
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.
Full-Text [PDF 582 kb]   (1991 Downloads)    
Type of Study: Research | Subject: Optimal design
Received: 2011/10/24

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