The Milne Problem for Linear-Triplet Anisotropic Scattering with HN Method

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2022-09-19 DOI:10.1080/23324309.2022.2141779

D. Gülderen, D. C. Sahni, R. G. Türeci, A. Aydιn

引用次数: 3

Abstract

Abstract The Milne problem is investigated for the linear-triplet anisotropic scattering with HN method in this study. The scattering function is the linear combination of linear anisotropic scattering and triplet anisotropic scattering in Mika’s scattering. The positivity condition is needed to find physical results since the scattering function defines the scattering probabilities. It defines the relationship between the scattering coefficients. HN method is based on using the Case method. Therefore, properties of the Case method should be derived for the scattering function. The linear anisotropic scattering is the dominant scattering according to the calculated results.

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用HN方法求解线性三重各向异性散射的Milne问题

摘要本文用HN方法研究了线性-三重态各向异性散射的Milne问题。在米卡散射中，散射函数是线性各向异性散射和三重态各向异性散射的线性组合。由于散射函数定义了散射概率，因此需要得到物理结果的正性条件。它定义了散射系数之间的关系。HN方法是基于使用案例方法。因此，应推导出散射函数的Case法性质。计算结果表明，线性各向异性散射是主要的散射。

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

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.