具有线性各向异性散射的球几何粒子输运问题的密度变换方法

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2021-06-07 DOI:10.1080/23324309.2021.1938610

D. Sahni

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引用次数: 3

摘要

摘要:本文提出了处理具有线性各向异性散射的球几何粒子输运问题的密度变换方法。我们同时考虑了齐次球的内外问题，并证明了该变换满足一个类似于平板几何中粒子输运方程的方程。这两个问题的边界条件是不同的。给出了任意形状区域线性各向异性散射的密度变换方法。

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Density Transform Method for Particle Transport Problems in Spherical Geometry with Linearly Anisotropic Scattering

Abstract We develop the density transform method for treating particle transport problems in spherical geometry with linearly anisotropic scattering. We consider both, the interior and exterior problems of a homogeneous sphere and show that the transform satisfies an equation that resembles particle transport equation in slab geometry. The boundary conditions for these two problems are different. We also work out the density transform method for linearly anisotropic scattering for a region of arbitrary shape.

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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.