Clustering and traveling waves in the Monte Carlo criticality simulation of decoupled and confi ned media

Eric Dumonteil; Giovanni Bruna; Fausto Malvagi; Anthony Onillon; Yann Richet

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자료유형: 학술저널

저자정보: Eric Dumonteil Giovanni Bruna Fausto Malvagi Anthony Onillon Yann Richet

저널정보: 한국원자력학회 Nuclear Engineering and Technology Nuclear Engineering and Technology 제49권 제6호

발행연도: 2017.1

수록면: 1,157 - 1,164 (8page)

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The Monte Carlo criticality simulation of decoupled systems, as for instance in large reactor cores, has been a challenging issue for a long time. In particular, due to limited computer time resources, the number of neutrons simulated per generation is still many order of magnitudes below realistic statistics, even during the start-up phases of reactors. This limited number of neutrons triggers a strong clustering effect of the neutron population that affects Monte Carlo tallies. Below a certain threshold, not only is the variance affected but also the estimation of the eigenvectors. In this paper we will build a time-dependent diffusion equation that takes into account both spatial correlations and population control (fixed number of neutrons along generations). We will show that its solution obeys a traveling wave dynamic, and we will discuss the mechanism that explains this biasing of local tallies whenever leakage boundary conditions are applied to the system.

#Monte Carlo #Criticality #Biases #Clustering #Traveling waves

참고문헌 (31)

참고문헌 신청

A. Kolmogorov / 1937 / Study of the diffusion equation with growth of the quantity of matter and its application to a biology problem / Moscow University Mathematics Bulleti

A. Zoia / 2014 / Clustering of branching Brownian motions in confined geometries / Phys. Rev. E 90

B. Cochet / 2015 / Capabilities overview of the MORET 5 Monte Carlo code / Ann. Nucl. Energy 82 : 74 ~ 84

B. Houchmandzadeh / 2002 / Clustering of diffusing organisms / Phys. Rev. E 66 : 052902 ~

B. Houchmandzadeh / 2008 / Neutral clustering in a simple experimental ecological community / Phys. Rev. Lett 101 : 078103 ~

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