平板几何中中性粒子SN源探测器问题响应矩阵谱节点法的推广

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2021-01-02 DOI:10.1080/23324309.2021.1889604

J. P. Curbelo, Odair P. da Silva, R. Barros

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引用次数: 2

摘要

摘要将响应矩阵谱节点法推广到平板几何中固定源离散坐标(SN)辐射传递和中子输运问题。将该方法推广到包含上散射事件的各向异性散射的正态和伴随能量多群问题。我们提出的数值方法产生的SN解绝对没有空间截断误差。为了讨论该方法的有效性，我们对两个典型的测试问题给出了一些数值结果。

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On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle SN Source–Detector Problems in Slab Geometry

Abstract A generalization of the Response Matrix spectral nodal method is applied to fixed–source discrete ordinates (SN ) radiative transfer and neutron transport problems in slab geometry. This method is extended to forward and adjoint energy multigroup problems with anisotropic scattering including the upscattering events. We present the numerical methodology which generates SN solutions absolutely free from spatial truncation errors. To discuss the efficiency of the method, we offer a number of numerical results for two typical test problems.

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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.