第32卷
第1期
2012年3月
核科学与工程
Nuclear Science and Engineering
Vol.32
2No.1 Mar.
2012
求解中子输运SP3方程的半解析节块方法
李志勇
（上海核工程研究设计院，上海200233)
摘要：中子输运简化P,(SP,)方法是对中子输运方程P的一种近似，可以转换为与中子扩散方法相似的形式。采用节块方法中有效的半解析方法求解中子输运SP，方程，同时也基于粗网有限差分(CMFD)方法采用细网有限差分(FMFD)形式同样求解该方程，通过对NEACRP-L-336基准题（修改）的数值计算，验证了通过Pin-By-Pin的节块计算能够获得与FMFD几乎相同的结果，而Pin-By-Pin的 CMFD计算结果与FMFD计算结果有一定的偏差。
关键调：中子输运；SP，；半解析节块方法；粗网有限差分
中图分类号：TL329
文章标志码：A
文章编号：0258-0918(2012)01-0008-08
Semi-analyticnodalmethodsfor neutrontransport SPsequation
LI Zhi-yong
(Shanghai Nuclear Engineering Research and Design Institute, Shanghai 200233, Chins)
Abstract: Neutron transport simplified P,(SP,) equation which is an approximation to the neutron transport Pn equation, can be transferred to a format similar to the traditional neutron diffusion equation, Solving the SP equation is implemented by semi-analytic nodal method which is one of the effective nodal method, and also by coarse mesh finite difference(CMFD) method with fine mesh finite difference (FMFD) format. By numerical analysis of NEACRP L-336 benchmark (modified), it is demonstrated that pin-by-pin nodal calculation can obtain almost the same result as FMFD, but pin-by-pin CMFD result has some deviation to the FMFD result.
Key words: neutron transport; SPs; semi-analytic nodal method; coarse mesh finite difference 收稿日期：2011-03-25；修回日期：2012-01-04
作者简介：李志勇（1981一），男，期南人，工程师，硕士，现主要从事反应堆物理分析工作 8