不规则结构有限元分析的并行处理及其在YH-1上的实现

在结构分析中,有限元方法是一个重要的数值方法。近些年来,关于单元刚度矩阵计算与总刚度矩阵合成的并行处理问题,A.K.Noor,梁维泰等人已进行了富有成效的工作,但他们的工作都是面向几何形状规则的结构分析问题。本文结合YH—1机的特点,对不规则结构分析问题,在提出单元分组技术的基础上,给出了一个单元刚度矩阵计算的并行算法ESVC,和变带宽存储格式下一个总刚度矩阵合成的并行算法ESVS。通过在YH—1并行机上对实例的计算结果表明:当同时计算的单元数r取120时,加速比s可达9.5,且r愈大,s就愈高。

Parallel Processing of Finite Element Analysis for Irregular Structures and Its Implementation on YH-1 Computers

Finite element method is an important numerical method for structural analysis. In recent years, A. K. Noor, Liang Weitai, et al have done some effective researches on parallel processing for computing elements stiffness matrices and assembling the total stiffness matrix, but these researches are aimed at regular structural analysis problems. In this paper, taking aim at the problems of irregular structural analysis, we put forward the method for parting elements, and, then, raise a parallel computing elements stiffness matrices method called ESVC and a parallel assembly method of the total stiffness matrix called ESVS, when we adopt variable bandwidth row storage. Computational results on YH-1 parallel computer for a model structural analysis problem show that when the number of elements in once parallel computations r is 120, the ratio speed-up of the execution time using serial algorithms to the execution time using parallel algorithms achieves 9. 5; and the bigger the r , the greater the s .