临界系统中子输运方程中的散射系数分析

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2022-04-16 DOI:10.1080/23324309.2022.2091601

H. Koklu, O. Ozer

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引用次数: 1

摘要

摘要利用中子输运方程中的切比雪夫多项式和勒让德多项式进行散射函数分析。散射系数对临界厚度的影响以表格形式给出。对PN、TN和UN方法进行了分析，直至散射函数的四阶。通过计算，得到了在Mark和Marshak边界条件下的临界厚度。在四各向异性散射中，得到了相应次中子数(c)的临界厚度结果。因此，在平面几何裸系统中，对两种边界条件下的三种不同的中子输运方程进行了求解。最后，给出了不同散射类型的数值结果，并在结果和讨论中作了简要的评论。结果表明，我们的结果与已有文献一致。

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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Analyzing of the Scattering Coefficients in the Neutron Transport Equation for Critical Systems

Abstract The scattering function analysis is done by Chebyshev and Legendre polynomials in the neutron transport equation. The effect of the scattering coefficients on the critical thicknesses are presented in tables. The analyses are done for PN , TN , and UN methods up to fourth order of the scattering function. By making calculations, the critical thicknesses are obtained with Mark and Marshak boundary conditions. The critical thickness results are found for the corresponding secondary neutron number (c) in tetra anisotropic scattering. So, the neutron transport equation solutions have been done for three different solution methods with two boundary conditions in plane geometrical bare systems. Finally, the numerical results for different scattering types and a brief comment are given in results and discussion. It is shown that our results are in agreement with the existing literature.

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来源期刊

Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Emphasizing computational methods and theoretical studies, this unique journal invites articles on neutral-particle transport, kinetic theory, radiative transfer, charged-particle transport, and macroscopic transport phenomena. In addition, the journal encourages articles on uncertainty quantification related to these fields. Offering a range of information and research methodologies unavailable elsewhere, Journal of Computational and Theoretical Transport brings together closely related mathematical concepts and techniques to encourage a productive, interdisciplinary exchange of ideas.