基于保角变换的六角形中子扩散半解析节块法及数值结果  

Semi-Analytic Nodal Methods and Numerical Analysis for Neutron Diffusion Hexagonal Based on Conformal Mapping

作　　者：李志勇[1] 

机构地区：[1]上海核工程研究设计院,上海200233

出　　处：《核科学与工程》2014年第1期16-22,共7页Nuclear Science and Engineering

摘　　要：基于横向积分技术的半解析节块法,在求解方形中子扩散方程中取得了非常良好的效果。基于横向积分技术的六角形中子扩散问题会遇到奇异问题,而通过采用保角变换理论使该问题得到很好的处理,并能够转化为与方形问题很类似的形式。本文根据保角变换方法,将六角形中子扩散方程的求解整合到快速精确的半解析节块方法求解核心中;通过基准问题的数值检验,证明这种方式是相当有效和准确的。Semi-analytic nodal method based on transverse integration technique obtains very good result in solving the rectangular neutron diffusion problems. The transverse integration technique for hexagonal neutron diffusion problem will encounter singular issue, but this can be well resolved by conformal mapping method and further transferred to similar format as rectangle problems. Based on conformal mapping method, the solution of hexagonal neutron diffusion equation is integrated to the fast, accurate semi-analytic nodal method （kernel） in this paper~ by numerical verification of benchmark problems, it is demonstrated thaf this method is very effective and accurate.

关 键 词：中子扩散 半解析节块法 六角形 保角变换 

分 类 号：TL329[核科学技术—核技术及应用]