有限元并行计算中网格自动分区的优化
MODIFICATION OF AUTOMATIC MESH GRID PARTITION IN PARALLEL FINITE ELEMENT COMPUTATION
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摘要: 针对集群系统下大规模有限元并行计算的特点,提出了优化多层次谱二分分区法。该方法对传统多层次谱二分分区方法的粗化、分区以及还原阶段的分区策略和算法进行了优化和调整,提出了顶点平衡策略以及平衡Kernighan-Li算法,弥补了传统谱二分法的缺陷,并应用该方法对不同几何类型的有限元模型进行了分区测试。测试结果表明,同传统分区方法相比,该方法的分区效果得到了明显改善。Abstract: According to the characteristics of large scale finite element method (FEM) paralleling processing on cluster computers, an optimized automatic partition approach — modified multilevel recursive spectral bisection (MRSB) is proposed. This approach is based on modification in coarsening, partition and refinement phases of multilevel recursive spectral bisection. The vertex balancing strategy (VBS) and balancing Kernighan-Lin (BKL) method are proposed and the shortcomings of multilevel recursive spectral bisection (MRSB) are overcome. It is also applied to practical problems of different geometry. The partition results show that the proposed method is valid and significant improvement is achieved.