高聚物注塑成型填充过程有限元分析并行迭代算法

A parallel iterative algorithm of finite element analysis for filling process of polymer injection molding

进行了高聚物注塑成型填充过程并行数值仿真分析.首先给出问题的控制方程,然后用Galerkin法将其离散为有限元系统方程.发展了一个并行子结构迭代并行算法,该算法在有限元区域分解的基础上,将有限元节点分为子区域内部点、二子区域边界点和多子区域边界点,在此基础上实现了有限元方程的组集和求解的并行化,并研制了相应的程序.讨论了该算法的并行执行.最后给出两个注塑填充过程压力场分析的实例,数值算例表明所提方法有较高的并行计算效率,可以适应高聚物成型填充过程仿真分析的需要.

Parallel simulation of the polymer injection molding filling process is studied. The governing equations of the problem are given firstly, and then they are discretized into system of the finite element equations by means of Galerkin procedure. A domain decomposition parallel iterative algorithm is proposed. By classifying the nodes into sub-domain internal nodes, 2 sub-domain boundary nodes and multi-sub-domain boundary nodes, the assembling and solving of the system equation are parallelized, and a parallel program is developed. An implementation of this parallel method is discussed. Two numerical examples for the pressure analysis of the injection molding filling process are given. Numerical results show that the method gives high efficiency, and it is suitable for numerically simulating the injection molding filling process.