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非定常输运模拟中基于粒子标识分类的源偏倚算法
引用本文:上官丹骅,许海燕.非定常输运模拟中基于粒子标识分类的源偏倚算法[J].计算物理,2016,33(6):639-644.
作者姓名:上官丹骅  许海燕
作者单位:北京应用物理与计算数学研究所, 北京 100094
基金项目:中国工程物理研究院科学基金(2014B0202029)
摘    要:在非定常输运问题的多步蒙特卡罗模拟中,根据粒子的不同属性进行标识分类可以得到非常细致的系统相关标识物理量.对于某些目标标识物理量,模拟的样本中造成有效贡献的样本相对较少,导致这些物理量模拟结果的涨落较大,而单靠增加总样本数不能高效地使有效样本达到一个合理的水平.本文提出一种基于标识分类的源偏倚算法,将增加的所有样本定向赋予目标类粒子,从而高效地降低目标标识物理量的统计误差且不影响非目标标识物理量的计算.以一维多层介质非定常输运模型验证上述结论.

关 键 词:非定常输运问题  蒙特卡罗方法  标识  源偏倚  
收稿时间:2015-09-07
修稿时间:2016-03-03

Particle-Flag Based Source Bias Algorithm for Simulating Time-Dependent Particle Transport
SHANGGUAN Danhua,XU Haiyan.Particle-Flag Based Source Bias Algorithm for Simulating Time-Dependent Particle Transport[J].Chinese Journal of Computational Physics,2016,33(6):639-644.
Authors:SHANGGUAN Danhua  XU Haiyan
Institution:Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
Abstract:In multi-step Monte Carlo simulation of time-dependent particle transport problems, particle-flag based physical quantity can be calculated by appropriate classification of diverse particle's attributes. Some particle-flag based physical quantities' fluctuation are strong since only very small fraction of total histories can make non-zero contribution and it is inefficient to deal with this problem by increasing purely total history number. A source bias algorithm is proposed to decrease stochastic error of target quantity by increasing number of source particle with a specific type only. Meanwhile, precision of non-target quantities are hardly decreased. A one-dimensional multi-layer model is utilized to display effect of the method.
Keywords:time-dependent particle transport  Monte Carlo method  particle-flag  source bias
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