摘要
按照区域分解算法“分而治之”的思想,研究了在普通PC机群上实现大规模并行有限元计算的方法.针对PC机群的特点,有限元计算数据采用分布式存储策略,方程组的求解采用并行预处理共轭梯度算法.采用C++语言及MPI消息传递接口开发了基于PC机群的并行有限元计算程序,利用6台计算机对247871个单元的有限元模型进行了并行求解,并行加速比达到5.26.验证了程序的可靠性和高效性.
According to domain decomposed method and its 'Divide and conquer' strategy, a PC cluster on Windows operating system was built up, and the implement of large-scale parallel FEM was investigated on it. The FEM data is stored through distributed form, and FEM equations are solved by using the parallel preconditioned conjugate gradient method. A parallel FEM program on PC cluster was developed by using C +and MPI, and then a 3D FEM model with 247 871elements has been analysis by the program. Its parallel speeding-up was 5.32 with 6 CPUs. The results show that the parallel algorithm is robust and high efficient in PC cluster environment.
出处
《河南理工大学学报(自然科学版)》
CAS
2007年第2期198-201,共4页
Journal of Henan Polytechnic University(Natural Science)
基金
河南省自然科学基金资助项目(0611010600)
河南理工大学博士基金资助项目(648508)
关键词
区域分解
并行有限元
计算方法
PC机群
domain decomposed method
parallel finite element method
calculating method
PC cluster