The Ln/Ln0 Method for 1D Neutron Transport in a Slab Medium

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2022-07-29 DOI:10.1080/23324309.2022.2111443

B. Ganapol

引用次数: 1

Abstract

Abstract A new, highly precise benchmark for the monoenergetic 1 D neutron transport equation with isotropic scattering, based on Case’s singular eigenfunctions, is presented. Because of the nature of singular distributions, Case’s analytical solution notoriously resists straightforward numerical computation. To overcome this difficulty, two complementary Lagrange interpolation schemes are constructed to achieve extreme precision (∼8 to 10 places) for number of secondaries in the range 0.001 < c < 0.99999 and slab thicknesses in the range 1 < Δ <100.

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平板介质中一维中子输运的Ln/Ln0方法

摘要基于Case奇异特征函数，提出了具有各向同性散射的单能一维中子输运方程的高精度基准。由于奇异分布的性质，凯斯的解析解拒绝直接的数值计算。为了克服这一困难，构建了两种互补的拉格朗日插值方案，以在0.001 < c < 0.99999范围内的次级数和1 < Δ <100范围内的板料厚度实现极高的精度(~ 8到10位)。

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.