CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (5): 733-739.

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Time Station Importance Sampling Method for Flux Field Calculation of Time-dependent Problem

WANG Ruihong1, JI Zhicheng1, JIANG Song1, HUANG Zhengfeng1, PEI Lucheng2   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
    2. China Institute of Atomic Energy, Beijing 102413, China
  • Received:2009-07-10 Revised:2010-01-16 Online:2010-09-25 Published:2010-09-25

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.

Key words: Monte Carlo method, flux field, statistical fluctuation, time station sampling (TSS), time station importance sampling (TSIS)

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