Topology optimization of structures with steady-state heat conduction using an improved parameterized level set method
Xiaobo Wang, Mingtao Cui, Li Wang, Mengjiao Gao
Abstract
This article proposes an improved parameterized level set method to handle topology optimization design of structures with steady-state heat conduction. In this method, the level set function (LSF) is interpolated using compactly-supported radial basis functions. Thus, it is more convenient and efficient to evolve the LSF, while ensuring the smoothness of the optimized boundary. The shape sensitivity constraint factor is used to improve computational efficiency. Furthermore, an approximate re-initialization scheme is adopted after each of iteration to keep the gradient of the LSF boundary stable, thereby improving the numerical stability and convergence speed of the structural topology optimization process.