%0 Journal Article
%T SYMMETRIES AND NUMERICAL SOLUTION TO THE MULTIGROUP NEUTRON DIFFUSION EQUATION<br>对称性及多群中子扩散方程数值解
%A ZHANG SHAO-HONG
%A XIE ZHONG-SHENG
%A <br>张少泓
%A 谢仲生
%J 物理学报
%D 2000
%I 
%X The neutron diffusion equation is usually solved in a symmetric region.For a non-rectangular symmetric region,the nonphysical singular problem arises when the c onventional method of deriving nodal solution is employed.In this paper,a new me thod based on both symmetries of the problem and an analytic representation of t he nodal flux distribution is presented.The method is effective for the solution of multigroup diffusion equation in the symmetric region,especially for the non -rectangular problem.It can be applied in 2-D or 3-D problems and its applicatio n in hexagonal geometry is introduced as an example.The only approximations used in deriving the method are the treatment of unknown functions.The efficiency of the proposed method is demonstrated by results of various 2-D and 3-D benchmark problems using the GTDIF-H code.
%K neutron diffusion equation
%K symmetric groups
%K numerical solutions
%K analysis<br>中子扩散方程，
%K 对称群，
%K 数值解，
%K 解析
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=0969FAF6B6569C7B&yid=9806D0D4EAA9BED3&vid=2A3781E88AB1776F&iid=F3090AE9B60B7ED1&sid=1569A0C6818E7615&eid=E3FD3E10FB6EBE7B&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=0