A two-grid binary level set method for structural topology optimization

被引：3
|
作者：
Liu, Chunxiao [1 ]
Hu, Xianliang [2 ]
Zhu, Shengfeng [3 ,4 ]
机构：
[1] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai, Peoples R China
[2] Zhejiang Univ, Sch Math Sci, Hangzhou, Peoples R China
[3] East China Normal Univ, Sch Math Sci, Shanghai, Peoples R China
[4] East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai, Peoples R China
来源：
ENGINEERING OPTIMIZATION | 2023年 / 55卷 / 07期
基金：
中国国家自然科学基金; 上海市自然科学基金;
关键词：
Topology optimization; binary level set method; finite element; two-grid; elasticity;
D O I：
10.1080/0305215X.2022.2067991
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A binary level set method of two-grid type is proposed for structural topology optimization. The method allows both shape and topological changes during evolution with no need for reinitialization. The Galerkin finite element method is used to discretize the linear elasticity equation, the eigenvalue problem in structure and the semi-implicit time discrete level set equation. In order to improve the efficiency of the gradient-type algorithm as well as balance the computational efforts of solvers, a nested two-grid discretization strategy is proposed. The linear elasticity or eigenvalue problem is solved on a coarse mesh, while the level set equation and the smoothing step are both discretized on a fine mesh. A variety of numerical results are given to demonstrate both the efficiency and effectiveness of the algorithm.
引用
收藏
页码：1100 / 1117
页数：18
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