千万自由度量级有限元模态分析并行计算研究

Parallel computing for finite element modal analysis with over ten-million-DOF

大规模有限元模态分析在一些重大装备研制过程中有迫切需求,对于实现装置系统级分析具有重要意义。基于隐式重启动Arnoldi、Krylov-Schur和Jacobi-Davidson三种主流算法和PANDA并行计算框架,构建了大规模模态分析并行计算体系;将并行求解体系应用于某光机主体结构,实现了其上千万自由度、数千核的模态分析并行计算;结合算例对三种主流算法的适应性和并行可扩展性进行了评估。研究结果表明,基于三种算法构建的并行求解体系均可在1小时内求解千万自由度量级的大规模模态分析问题,并行可扩展性非常优异。

In the development of large equipments,the demand of large-scale finite element modal analysis is very strong due to its significance in realizing the systemic analysis of the entire large structure.Based on three predominant algorithms,i.e.,implicitly restarted Arnoldi method,Krylov-Schur method and Jacobi-Davidson method and PANDA framework,a parallel computing system for a large-scale modal analysis was established.As a typical application,it was used to get solutions to the main structure of a certain optical machinery,a parallel modal analysis with over ten-million-DOF was performed and thousands of CPU processors were applied.The adaptability and parallel scalability of the three algorithms with numerical examples.Results showed that the parallel solving system can perform the modal analysis with over ten million-DOF within one hour and its parallel scalability is excellent.