刚性限制法在瞬态中子输运计算中的应用  

Application of Stiffness Confinement Method in Transient Neutron Transportation Calculation

作　　者：汤春桃 毕光文 杨波 TANG Chuntao;BI Guangwen;YANG Bo(Shanghai Nuclear Engineering Research & Design Institute Co. ,Ltd. ,Shanghai 200233,China)

机构地区：[1]上海核工程研究设计院有限公司

出　　处：《原子能科学技术》2019年第7期1202-1208,共7页Atomic Energy Science and Technology

摘　　要：刚性限制法(SCM)可有效缓解中子动力学方程中的刚性问题,可采用较大时间步长获得同等计算精度,提高计算效率。现有SCM主要用于求解两群瞬态中子扩散方程。本文将SCM应用于求解多群瞬态中子输运方程,在原有中子输运方程特征线方法求解程序PEACH的基础上,增添了瞬态求解功能,开发了PEACH-K程序。采用OECD/NEA最新发布的基准题C5G7-TD对PEACH-K程序进行数值验证,结果表明,PEACH-K程序在大时间步长下仍具有很高的计算精度,且具有良好的数值稳定性。Stiffness confinement method (SCM) can effectively alleviate the stiffness in the neutron kinetics equation, and can use larger time steps to obtain the same calculation accuracy and improve the computational efficiency. The existing SCM is mainly used to solve two-group transient neutron diffusion equation. In this paper, the SCM was employed to solve the multi-group transient neutron transportation equation. On the basis of the original method of characteristics (MOC) program PEACH, the transient function was added and the PEACH-K program was developed. Based on the latest published OECD/NEA C5G7-TD benchmark, the numerical result of PEACH-K program was verified. The results show that the PEACH-K program has both high computing precision and good numerical stability.

关 键 词：中子输运方程 瞬态分析 动力学 PEACH-K程序 

分 类 号：TL329[核科学技术—核技术及应用]