具有纯三重散射和勒让德多项式出射通量的半空间反照率问题

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2022-11-10 DOI:10.1080/23324309.2022.2150645

A. Z. Bozkır, D. C. Sahni, R. G. Türeci

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引用次数: 0

摘要

摘要本研究采用三种不同的方法:method、method和SVD方法来研究反照率问题。将前两种方法用于SVD方法结果的比较。因此，本研究的主要目的是研究反照率问题的奇异值分解方法。最近改进的方法是基于将单速、无源、均匀介质中子输运方程的积分部分转化为和的方法。这个求和项有两种写法。一种是使用中点近似，另一种是使用线性近似。将奇异值分解方法的数值结果与该方法的数值结果进行了比较。本研究的另一种不同情况是使用一系列的勒让德多项式来计算表面的出射通量。

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Half-Space Albedo Problem with Pure-Triplet Scattering and Legendre Polynomial Outgoing Flux

Abstract In this study, the albedo problem is investigated with three different methods, method, method, and SVD method. The first two methods are used for the comparison of the SVD method results. Therefore, the main aim of this study is to study of the SVD method for albedo problem. The recently improved method is based on usage of the transformation of the integral part to a sum in the one-speed, source free, and homogeneous medium neutron transport equation. This sum term is written with two different ways. One of them is to use midpoint approximation and the second is to use linear approximation. The numerical results of the SVD method are compared with both the method and the method results. Another different situation of this study is to use a series of the Legendre polynomials for the outgoing flux over the surface.

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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.