论文标题
基于多机辅助重新分析的传热问题的有效拓扑优化
An efficient topology optimization based on multigrid assisted reanalysis for heat transfer problem
论文作者
论文摘要
为了提高热传递拓扑优化的计算效率，在本研究中提出了多机辅助重新分析（MGAR）方法。 MGAR不仅显着提高了计算效率，而且还可以减轻硬件负担，从而可以有效地解决大规模的传热拓扑优化问题。此外，还提出了一种基于投影的后处理策略，并与连续的密度过滤策略进行了整合，以成功获得平滑的边界，同时消除了一些小型特征。几个2D和3D数值示例表明，MGAR的计算效率接近甚至高于MGCG的计算效率，其优化结果几乎相同，此外，3D方案的效率提高比2D方案的效率提高了，这比MGAR可以为大规模尺度的问题节省计算成本的出色潜力。
To improve the computational efficiency of heat transfer topology optimization, a Multigrid Assisted Reanalysis (MGAR) method is proposed in this study. The MGAR not only significantly improves the computational efficiency, but also relieves the hardware burden, and thus can efficiently solve large-scale heat transfer topology optimization problems. In addition, a projection-based post-processing strategy is also proposed and integrated with a continuous density filtering strategy to successfully obtain smooth boundary while eliminating some small-sized features. Several 2D and 3D numerical examples demonstrate that the computational efficiency of the MGAR is close to or even higher than that of the MGCG with almost identical optimization results, moreover, the efficiency improvement in the 3D scenario is superior than that of the 2D scenario, which reveals the excellent potential of the MGAR to save computational cost for large-scale problems.
