二维柱几何非定常中子输运方程基于格式的界面预估校正并行算法  

A Parallel Algorithm with Interface Prediction and Correction for Time-dependent Transport Equation in 2D Cylindrical Geometry

作　　者：魏军侠[1] 袁光伟[1] 阳述林[1] 申卫东[1] 

机构地区：[1]北京应用物理与计算数学研究所

出　　处：《计算物理》2012年第2期198-204,共7页Chinese Journal of Computational Physics

基　　金：基础科研计划(B1520110011);国家重点基础研究专项经费(2011CB309705);中国工程物理研究院科学技术发展基金(2008A0202008)资助项目

摘　　要：针对二维柱几何非定常中子输运方程的Sn-间断有限元方法,提出基于格式的界面预估校正并行算法.数值算例表明,该并行算法在精度与并行度等诸方面均具有良好的性质,与已有的基于隐式格式的并行扫描算法相比,对于二维中子输运大规模计算问题,并行计算效率较高,并行加速比可增加一倍以上,且可保持原隐式格式的计算精度.For discontinuous finite element method of time-dependent neutron transport equations in 2D cylindrical geometry,a parallel algorithm with interface prediction and correction is designed.Numerical experiments show that the parallel algorithm with explicit prediction and implicit correction has good precision,parallelism and simplicity.Compared with parallel algorithm based on implicit scheme,the new parallel algorithm has higher parallel efficiency with accuracy-preserving.Especially,it achieves super-linear speedup on hundreds of processors for large-scale problems.

关 键 词：中子输运方程 间断有限元方法 区域分解 Sn扫描算法 界面预估校正 

分 类 号：O246[理学—计算数学]