Year: 2024
Author: Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 164–180
Abstract
In this article, a new characteristic finite difference method is developed for solving miscible displacement problem in porous media. The new method combines the characteristic technique with mass-preserving interpolation, not only keeps mass balance but also is of second-order accuracy both in time and space. Numerical results are presented to confirm the convergence and the accuracy in time and space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0060
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 164–180
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: The method of characteristics mass-preserving finite difference miscible displacement problem.