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少群定态中子扩散方程的一个解法及其应用
引用本文:蔡仁泰. 少群定态中子扩散方程的一个解法及其应用[J]. 原子能科学技术, 1994, 0(6)
作者姓名:蔡仁泰
作者单位:中国原子能科学研究院计算机所
摘    要:文章推导了二维中子扩散方程的差分方程、求解差分方程的线超松弛迭代(称内迭代)公式,给出了裂变源项ψ的迭代(称外迭代)公式、有效增殖因子K_(eff)的计算公式以及内外迭代的收敛准则,叙述了这个解法在计算机上实现的大概过程。该计算机程序用于高通量堆计算(考验09的各种材料)和重水反应堆的改进计算。

关 键 词:中子扩散方程,差分方程,迭代求解,反应堆计算

A MDTHOD AND ITS APPLICATION FOR SOLVING TWO-DIMENSIONAL FCW-GROUP NEUTRON DIFFUSION EQUATIONS
CAI RENTAI. A MDTHOD AND ITS APPLICATION FOR SOLVING TWO-DIMENSIONAL FCW-GROUP NEUTRON DIFFUSION EQUATIONS[J]. Atomic Energy Science and Technology, 1994, 0(6)
Authors:CAI RENTAI
Abstract:thethesis derives fifference equations ofr two-dimensional few-group meutron diffusion equq-tions and line super relaxation iteration method for solving the difference equations (called inneriteration)and calcula-tion formula for effective multiplication factor of reactor as well as their convergence criterion The thesis also mentions implementation of the algorithm in computer The computer code of this algorithm is used in the calculation of high flux and heavy water reactors ,respectively.
Keywords:Neutron diffuse equatio difference equation Iterative solution aReactor cal-culation  
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