| 中子裂变链统计涨落问题的数值计算方法 |
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| 引用本文： | 徐乃新,汤敏君.中子裂变链统计涨落问题的数值计算方法[J].计算物理,1999,16(6):580-586. |
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| 作者姓名： | 徐乃新 汤敏君 |
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| 作者单位： | 北京应用物理与计算数学研究所, 100088 |
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| 基金项目： | 国防科技预先研究跨行业项目可靠性共性技术基金资助课题 |
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| 摘 要： | 研究了弱中子源驱动下,裂变系统中子裂变链统计涨落问题的数值计算方法。进行了数值计算建模、数值方法分析、数值计算检验、一类问题概率分布函数的统计涨落特征量的数值计算示范。特例数值检验表明:只要数值解方程组阶数(截断) N足够大,数值解满足归一(守恒) 律、指数增长律,并与精确解析解一致。对于非定常裂变系统中子裂变链统计涨落问题提出了一维等效模型下数值模拟的方法。
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| 关 键 词： | 中子裂变链 统计涨落 概率分布函数 |
| 收稿时间： | 1998-09-01 |
| 修稿时间： | 1999-01-29 |
A numerical method for statistics fluctuation problem of neutron fission chains |
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| Xu Naixin,Tang Minjun.A numerical method for statistics fluctuation problem of neutron fission chains[J].Chinese Journal of Computational Physics,1999,16(6):580-586. |
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| Authors: | Xu Naixin Tang Minjun |
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| Institution: | Beijing Institute of Applied Physics and Computational Mathematics, 100088 |
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| Abstract: | A numerical method of the statistics fluctuation problem of fission chains is studied for fission system driven by a weak neutron source.Constructing model of numerical simulation,analysis of numerical method,examinations of numerical simulation,demonstrating of numerical simulation for a kind of problem have been done.Examinations of numerical simulation for special example indicated that so long as the order of the system of numerical siumlation (N) is large sufficiently,numerical solutions satisfy normalization (conservation) law、population growth exponential law,and approach to the exact analytic solution.An one-diminsional equivalenly modelling numerical method is presented for statistics fluctuation problem of neutron fission chains in unsteady fission system. |
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| Keywords: | neutron fission chain statistics fluctuation function of the probability distribution |
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