有限元求解器Calculix预处理并行优化方法

The Parallel Optimization of Preconditioning for the Finite Element Solution Calculix

针对船舶疲劳强度分析中大规模数值计算分析的效率问题,在广州超算中心先导系统环境下对开源有限元求解器Calculix中求解线性方程组迭代法的预处理方法进行并行优化,提出基于列主元的多行双门槛的不完全LU分解预处理方法,证明该方法下的不完全LU分解可以进行下去,并在广州超算中心先导系统环境下开发原型系统,运用实际测试算例验证了该方法在相同的条件下,有效缩短了船舶疲劳强度分析中数值分析部分的计算时间.

Aiming at the problems of large scale numerical computing and analysis in ship strength fatigue analysis, this paper presents an improved mechanism with optimized pretreatment of linear equation group iteration at open-source finite element solver Calculix in National Supercomputing Center in Guangzhou. It can resolve the muhi-row double threshold incomplete decomposition based on column pivoting and the incomplete LU decomposition proves to proceed. Hence the prototype system has been developed in the center. And the practical experiments and testing results show that the computing time of ship strength fatigue analysis can be reduced effectively.