结构动力分析显隐式混合积分并行算法及实现

Mixed explicit implicit parallel algorithm for structural dynamic integration and its implementation

在分布式并行计算机环境下开展有限元并行算法研究是计算力学领域的前沿课题之一。基于区域分裂法，提出了一种新的结构动力分析的显－隐式混合积分并行算法，给出了其算法执行过程，并从物理直观意义上解释了该算法的设计思想，指出了其本质是一种单元弱耦合的混合积分算法。同时在网络并行计算机群系统上，基于并行平台（ＰＶＭ）设计了算法程序。最后，通过数值算例证明了该算法的可靠性和有效性。

It is one of the most advanced subjects to carry out the parallel algorithm design for finite element methods on distributed memory MIMD computer in computational mechanics. Based on domain decompositon method, a new mixed explicit implicit parallel algorithm for structural dynamic analysis was presented and implemented on micro processors cluster. The detailed algorithm implementation process was described, the principle of this algorithm was explained in an intuitive physical sense, and the essence of weak coupling among elements belongs to this algorithm is pointed out. Meanwhile, the program designed based on PVM parallel platform was implemented on micro processors cluster. Numerical examples show the high reliability and the effectiveness of this algorithm, and the key point to improve the parallel efficiency further is how to determine the elements number of implicit integration domain reasonablely.