Monte Carlo solution of the reflected systems’ criticality problems with Anlı–Güngör, Inönü and tetra-anisotropic kernels for both fission and scattered neutrons

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Pramana Pub Date : 2024-07-04 DOI:10.1007/s12043-024-02781-8
Bahram R Maleki
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引用次数: 0

Abstract

Different deterministic solution methods are being used to solve the criticality problem of the reflected systems with different anisotropic behaviours for both fission neutrons and neutrons undergoing scattering. In the present study, the criticality problem is simulated using the developed Monte Carlo algorithm. Different angular distributions, such as Inönü, Anlı–Güngör and tetra-anisotropic kernels are taken into account. For each anisotropic kernel, the sampling method of the direction cosine of either newborn fission neutrons or scattered neutrons is presented by extracting the required probability distribution function (PDF). The simulation starts with an initial guess and following the presented procedure, the criticality thickness of the system is estimated with a certain convergence criterion. Different variance reduction methods, such as implicit capture, Russian-roulette and splitting, are also implemented to get more precise results with a reasonable computational time cost. The validity of the presented method is verified by comparing with the results of different deterministic methods. Finally, using an exact scattering function, the three considered kernels are compared with each other. It is seen that the tetra-anisotropic kernel is the best among the considered kernels.

Abstract Image

Abstract Image

使用安勒-贡格尔、伊诺和四各向异性核对裂变中子和散裂中子的反射系统临界问题的蒙特卡洛解法
不同的确定性求解方法被用于求解裂变中子和发生散射的中子具有不同各向异性行为的反射系统的临界问题。本研究使用开发的蒙特卡洛算法模拟临界问题。考虑了不同的角度分布,如 Inönü、Anlı-Güngör 和四各向异性核。对于每种各向异性内核,通过提取所需的概率分布函数(PDF),介绍了新生裂变中子或散射中子方向余弦的采样方法。模拟从初始猜测开始,按照提出的程序,根据一定的收敛标准估算系统的临界厚度。此外,还采用了不同的方差缩小方法,如隐含捕捉、俄罗斯轮盘赌和分割,以合理的计算时间成本获得更精确的结果。通过与不同确定性方法的结果进行比较,验证了所提出方法的有效性。最后,利用精确的散射函数,对所考虑的三个核进行了比较。结果表明,四各向异性核是所考虑的核中最好的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
期刊介绍: Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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