Binary level set method for structural topology optimization with MBO type of projection

Abstract

SUMMARYIn this paper, we use binary level set method and Merriman–Bence–Osher scheme for solving structural shape and topology optimization problems. In the binary level set method, the level set function can only take 1 and –1 values at convergence. Thus, it is related to phasefield methods. There is no need to solve the Hamilton–Jacobi equation so it is free of the CFL condition and the reinitialization scheme. This favorable property leads to the great time advantage of this method. We use additive operator splitting (AOS) and multiplicative operator splitting (MOS) schemes for solving optimization problems under some constraints In this work, we also combine the binary level set method with the Merriman–Bence–Osher scheme. The combined scheme is much more efficient than the conventional binary level set method. Several two‐dimensional examples are presented which demonstrate the effectiveness and robustness of proposed method. Copyright © 2011 John Wiley & Sons, Ltd.