Commun. Comput. Phys., 8 (2010), pp. 866-876.


Analysis of Effectiveness on Monte Carlo Importance Biased Transport Calculation

Haiyan Xu 1*, Zhengfeng Huang 1, Shaohui Cai 1

1 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China.

Received 9 September 2009; Accepted (in revised version) 18 February 2010
Available online 17 May 2010
doi:10.4208/cicp.090909.180210a

Abstract

To obtain fine distributing calculation about the time, space and energy of neutron flux for a kind of non-stationary particle transport problem, the scheme of global Monte Carlo variance reduction is developed. In order to provide the foundation for this scheme, it is necessary to analyze its effectiveness before putting it to use. This paper fulfills this through analyzing the effectiveness of its core which is Monte Carlo transport importance biased calculation. By decomposing the arithmetic and calculating the representative objectives, the effectiveness of the Monte Carlo transport importance biased calculation is demonstrated.

AMS subject classifications: 11K45, 62D05, 82C70, 82D75
PACS: 02.70.Ss, 02.70.Tt, 02.70.Uu
Key words: Monte Carlo, importance biased transport, direct bias, indirect bias.

*Corresponding author.
Email: xu_haiyan@iapcm.ac.cn (H. Xu), huang_canada@126.com (Z. Huang), shaohuicai@126.com (S. Cai)
 

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