基于对称性原理的二维六角形几何多群解析节块法  

AN TWO DIMENSIONAL ANALYTICAL NODAL METHOD OF MULTIGROUP DIFFUSION EQUATION IN HEXAGONAL GEOMETRY BASED ON SYMMETRIC GROUPS THEOR

作　　者：张少泓[1] 谢仲生[1] 

机构地区：[1]西安交通大学

出　　处：《核科学与工程》1999年第2期121-131,共11页Nuclear Science and Engineering

基　　金：国家自然科学基金;核工业科学基金;教委博士点基金

摘　　要：通过寻找二维亥姆霍兹方程解析试验解的方式来求解六角形几何多群中子扩散方程，并利用对称性原理和群论确定节块内的中子通量分布。和普通先进节块法不同的是求解过程不采用横向积分技术，节块之间同时采用偏流和偏流矩相耦合，且得到的解在节块内任意点上都满足扩散方程。对基准题的校核计算表明，组件最大功率误差均小于１％。Based on analytical representation of nodal flux distribution and symmetric groups theory of regular 2 D hexagon, a new efficient nodal method is developed for the solution of multigroup neutron diffusion equation in hexagonal geometry without resorting to the traverse integration technique. Differing from the commonly used surface average partial current nodal coupling method, nodes are coupled with partial current first moment as well as surface average partial current.An experimental code GTDIF H has been developed based on the proposed model. The dramatic efficiency and accuracy of proposed method is well demonstrated by the numerical results of benchmark problems.

关 键 词：中子扩散方程 对称群 数值解 节块法 二维 

分 类 号：TL325[核科学技术—核技术及应用]