用于提高正性和准确性的拉伸和过滤多群Pn传输

IF 0.7 4区 工程技术 Q3 MATHEMATICS, APPLIED Journal of Computational and Theoretical Transport Pub Date : 2020-07-28 DOI:10.1080/23324309.2020.1800745
G. Olson
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引用次数: 2

摘要

求解辐射输运方程的常用方法之一是对角度变量进行多项式展开。最近的研究减少了振荡,提高了灰色输运方程解的正性,本文将其应用于多群输运方程。拉伸时间轴的恒定尺度因子和过滤溶液的恒定散射不透明度大大提高了溶液的精度,而没有增加非线性。不需要新的解决方案技术。测试问题以一维和二维的形式呈现。
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Stretched and Filtered Multigroup Pn Transport for Improved Positivity and Accuracy
Abstract One of the common methods for solving the radiation transport equation is to use a polynomial expansion for the angle variable(s). Recent research that reduces the oscillations and improves the positivity of the gray transport equation solutions is here applied to the multigroup transport equations. Constant scale factors that stretch the time axis and constant scattering opacities that filter the solution greatly increase the accuracy of the solution with no added nonlinearities. No new solution techniques are required. Test problems are presented in one and two dimensions.
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来源期刊
Journal of Computational and Theoretical Transport
Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics
CiteScore
1.30
自引率
0.00%
发文量
15
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.
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