计算动态系统网格通量场的驿站重要抽样方法
Time Station Importance Sampling Method for Flux Field Calculation of Time-dependent Problem
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摘要: 对与时间有关输运问题计算条件下,全系统不同网格体通量计算统计涨落较大,甚至个别网格很难得到计数的现象,提出驿站重要抽样方法.研究可以选择的重要性函数,给出抽样方法,推导重要性偏倚抽样的源粒子纠偏权重公式.经过推导证明连续多时间步抽样计算不存在粒子纠偏权发散问题.数值模拟结果表明,采用驿站重要抽样方法,全系统精细网格通量场计算精度基本一致,整体计算结果得到明显改善.Abstract: Flux field calculation in time-dependent problems with Monte Carlo method and associated particles transportation equation are described.The random walk principle of time station sampling(TSS) method in dynamic system is introduced.A time station importance sampling(TSIS) method is developed and applied to decrease statistical fluctuation in global flux field calculation.Alternative importance function and its unbiased weight of modification are investigated.Numerical results and analyses on methods in specific model are given.The time station importance sampling(TSIS) biased method can be used to control statistical variance of global fine mesh flux adaptively in a same level.
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