ISSN 1000-1239 CN 11-1777/TP

• 软件技术 •

### 非结构网格上弹性力学数值模拟的并行实现

1. (北京应用物理与计算数学研究所 北京 100094) (zhao_weibo@iapcm.ac.cn)
• 出版日期: 2015-05-01
• 基金资助:
基金项目：国家“九七三”重点基础研究发展计划基金项目(2011CB309702)；国家"八六三"高技术研究发展计划基金项目(2012AA01A309)；国家自然科学基金项目(11372049)

### Parallel Computation for Elastic Mechanical Numerical Simulation on Unstructured Mesh

Zhao Weibo, Liu Qingkai, Yang Yang

1. (Institute of Applied Physics and Computational Mathematics, Beijing 100094)
• Online: 2015-05-01

Abstract: The numerical simulation of elasticity has been applied to many engineering fields such as architecture, machinery, chemical industry, material and spaceflight. With the increase in computation scale and precision of real-world applications, sequential algorithms are not able to satisfy applications' needs, especially for those with complicated CAD model and material. To alleviate this problem, we propose a parallel finite element algorithm based on hierarchical unstructured mesh, and apply it to elastic equations. Our algorithm consists of a novel unstructured mesh data structure obtained through hierarchical domain decomposition and a corresponding two-step algorithm for the stiff matrix of elasticity system. By comparing the results of a beam model with ANSYS, we validate the correctness of our algorithm. The results of steel tube model shows that our algorithm is able to solve problems with 1.5 billion cells and scale to 4080 processes.