六角形几何多群中子扩散的解析节块法

An Analytical Nodal Method of Multigroup Neutron Diffusion Equation in Hexagonal Geometry

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．求解过程不采用横向积分技术，且得到的解在节块内任意点上都满足扩散方程．对ＩＡＥＡ基准题的校核计算表明，该方法具有很高的精度，最大组件功率误差小于２％．

Based on analytical representation of nodal flux distribution and symmetric group 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 the traverse integration technique. An test code GTDIFH has been developed based on the proposed model. The accuracy and efficiency of proposed method is well demonstrated by the numerical results of IAEA test problem.