用合成核研究非吸收介质两区Milne问题中的前向和后向散射

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2023-02-23 DOI:10.1080/23324309.2023.2219659

Dalia A. Garbiea, A. El-Depsy, M. M. Selim, O. A. Mohamedien

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引用次数: 0

摘要

摘要本文研究了极各向异性散射函数对两区Milne问题的影响。这个散射函数把碰撞产生的中子分成三部分;部分(向后移动)，部分(m)向前移动，部分(n)从碰撞中各向同性出现，其中+ m + n = 1。利用基于Case特征模态和指数积分函数的试函数求解输运方程的积分版本。因此，米尔恩问题的解是用外推长度和分数标量通量不连续等特征量来表示的。给出了解析求值量的数值结果。我们的一些数值结果与现有的已发表的结果进行了比较。

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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Study of Forward and Backward Scattering in Two-Region Milne Problem for Non-absorbing Medium Using a Synthetic Kernel

Abstract In this work, the effect of an extremely anisotropic scattering function on the two-region Milne problem is studied. This scattering function divides the neutrons resulting from the collisions into three parts; part ( which moves backward, part (m) which moves forward, and part (n) which emerge isotropically from the collisions, where + m + n = 1. The integral version of the transport equation is solved using trial functions based on Case’s eigenmodes and exponential integral function. Hence, the solution to the Milne problem is formulated in terms of characteristic quantities such as the extrapolation length and the fractional scalar flux discontinuity. Numerical results for the analytically evaluated quantities are presented. Some of our numerical results are compared with the available published results.

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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.