多孔介质中的线性输运

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED Journal of Computational and Theoretical Transport Pub Date : 2020-05-25 DOI:10.1080/23324309.2020.1842453

K. Amagai, Yuko Hatano, M. Machida

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引用次数: 0

摘要

摘要建立了线性输运理论来描述多孔介质中示踪粒子数密度随时间的变化规律。平流被考虑在内。用解析离散坐标法对输运方程进行了数值求解。对于拉普拉斯逆变换，采用双指数公式。在本文中，我们考虑了示踪粒子的行进距离，而在我们之前的论文[Amagai et al.(2020)]中假设了半空间几何。反式。多孔介质[j]。

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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Linear Transport in Porous Media

Abstract The linear transport theory is developed to describe the time dependence of the number density of tracer particles in porous media. The advection is taken into account. The transport equation is numerically solved by the analytical discrete ordinates method. For the inverse Laplace transform, the double-exponential formula is employed. In this paper, we consider the travel distance of tracer particles whereas the half-space geometry was assumed in our previous paper [Amagai et al. (2020). Trans. Porous Media 132:311–331].

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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.