CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2012, Vol. 29 ›› Issue (5): 727-732.

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Critical Effect in Lattice Homogenization via Monte Carlo Method

LI Mancang1,2, WANG Kan1, YAO Dong2   

  1. 1. Department of Engineering Physics, Tsinghua University, Beijing 100084, China;
    2. Science and Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, Chengdu 610041, China
  • Received:2011-11-01 Revised:2012-02-06 Online:2012-09-25 Published:2012-09-25

Abstract: In practice of homogenization with Monte Carlo method,critical effect is studied and BN theory is applied taking critical effect into account.Fundamental mode with buckling B is used as a measure of finite size.A critical spectrum in solution of fine-group Bl equations is used to correct weighted spectrum for homogenization.A PWR prototype core is examined to verify that the method generates few group constants effectively.In addition,a zero power physical experiment verification is performed.Numerical validations show that BN theory is adequate for critical correction in multi-group constants generation via Monte Carlo method.

Key words: critical effect, homogenization, Monte Carlo method, multi-group constants, BN theory

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