Analytical Discrete-Ordinates Solutions for Improved 1D Models of Particle Transport in Ducts with Wall Migration

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2022-07-29 DOI:10.1080/23324309.2022.2110898

R. D. Garcia

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引用次数: 1

Abstract

Abstract Analytical discrete-ordinates (ADO) solutions are developed for two improved one-dimensional (1D) models of particle transport in ducts that include wall migration. One of the studied models is based on an approximation of the transverse and azimuthal dependencies of the angular flux in terms of two basis functions, while the other uses three. Particle migration in the wall is modeled by an exponential displacement kernel. Numerical results for duct reflection and transmission probabilities are reported for various test cases, including some cases of thermal-neutron transport through iron, concrete, and graphite ducts that have been defined and studied by other authors. A comparison is performed with a set of published results comprising realistic results obtained with the Monte Carlo code MCNP and results from a numerical implementation of the discrete-ordinates method for the model based on three basis functions. To resolve some issues raised during the comparison process, a numerical discrete-ordinates solution of the problem has also been implemented in the course of this work.

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具有壁面迁移的管道中粒子输运改进一维模型的离散坐标解析解

摘要为两个改进的管道中颗粒传输的一维（1D）模型（包括壁迁移）开发了解析离散坐标（ADO）解。其中一个研究的模型是基于两个基函数对角通量的横向和方位相关性的近似，而另一个使用三个基函数。粒子在壁中的迁移是通过指数位移核来建模的。报告了各种试验情况下管道反射和透射概率的数值结果，包括其他作者定义和研究的热中子通过铁、混凝土和石墨管道传输的一些情况。与一组已发表的结果进行比较，该结果包括用蒙特卡罗代码MCNP获得的真实结果和基于三个基函数的模型的离散坐标方法的数值实现的结果。为了解决比较过程中提出的一些问题，在本工作过程中还实现了该问题的数值离散坐标解。

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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.