基于贴体网格的高分辨率三维结构拓扑优化研究

To solve a high-resolution 3D topology optimization problem, a new parallel distributed framework integrated with the body-fitted mesh adaptation technique is proposed. The solid-void interface can be described explicitly by a zero-level-set isosurface. The mesh is refined iteratively, the areas near boundaries have dense grids while other areas have sparse grids. This feature can save a huge amount of unneeded computation cost. In the computing process, the computational domain is decomposed, and submit them to different processors to realize parallel computing. Thus, the proposed method can deal with large-scale topology optimization problems. The proposed numerical implementation relies on FreeFEM, Mmg and PETSc open-source software packages. The problem at hand is the classical compliance maximization problem. The proposed framework is scalable to 3.8 million tetrahedral elements and can be performed on a standard workstation. Several numerical examples support these remarkable features.