用于求解细网SP3中子输运方程的两节块方法的精度与效率分析  

Analysis of Accuracy and Efficiency of Two Node Method for Solving Fine Mesh SP3 Neutron Transport Equations

作　　者：赵文博[1] 于颖锐[1] 柴晓明[1] 甯忠豪 张斌[1] 刘琨[1] 方浩宇[1] Zhao Wenbo;Yu Yingrui;Chai Xiaoming;Ning Zhonghao;Zhang Bin;Liu Kun;Fang Haoyu(Science and Technology on Reactor System Design Technology Laboratory,Nuclear Power Institute of China,Chengdu,610213,China)

机构地区：[1]中国核动力研究设计院核反应堆系统设计技术重点实验室,成都610213

出　　处：《核动力工程》2020年第2期184-188,共5页Nuclear Power Engineering

摘　　要：采用两节块方法求解细网3阶简化球谐函数(SP3)中子输运方程,该方法只对零阶角通量密度的拉普拉斯算子进行节块法处理,对应的零阶通量密度采用2阶展开,横向泄漏采用零阶近似;以此方法开发了适用于细网全堆输运计算的CORCA-PIN程序,该程序同时集成了细网有限差分方法。验证算例采用KAIST 3A基准问题及扩展三维问题。数值结果表明,采用栅元1×1划分的两节块法具有可接受的计算精度,而计算时间只有相同精度的细网有限差分方法的11%。因此,本文提出的两节块方法适用于细网SP3中子输运方程计算。A two node method is developed to solve the fine mesh SP3 equations. The Laplace operator on the 0 th moment flux is treated by nodal method. The transverse integrated 0 th moment flux is expanded to a second order polynomial, and the transverse leakage term is approximated with flat distribution. A prototype code named CORCA-PIN is developed for the fine mesh whole core transport calculation. And fine mesh finite difference method is implemented in CORCA-PIN. KAIST 3 A benchmark problem and extended 3 D problem are tested. Numerical results show that an acceptable accuracy is achieved using the two node method with 1 by1 mesh per cell. Meanwhile, the time is 12% of the fine mesh finite difference method with comparable accuracy. The two node method proposed in this paper is suitable as the solver of fine mesh SP3 neutron transport equations.

关 键 词：3阶简化球谐函数(SP3) 细网 两节块 

分 类 号：TL334[核科学技术—核技术及应用]