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Volume 16, Issue 1
A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

Jiansong Zhang, Yue Yu, Rong Qin & Zhaohui Liu

DOI: 10.4208/aamm.OA-2022-0060

Adv. Appl. Math. Mech., 16 (2024), pp. 164-180.

Published online: 2023-12

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  • 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.

  • Keywords

The method of characteristics, mass-preserving, finite difference, miscible displacement problem.

  • AMS Subject Headings

65M06, 65M25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-16-164, author = {Zhang , JiansongYu , YueQin , Rong and Liu , Zhaohui}, title = {A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2023}, volume = {16}, number = {1}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2022-0060}, url = {http://global-sci.org/intro/article_detail/aamm/22294.html} }
TY - JOUR T1 - A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem AU - Zhang , Jiansong AU - Yu , Yue AU - Qin , Rong AU - Liu , Zhaohui JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 164 EP - 180 PY - 2023 DA - 2023/12 SN - 16 DO - http://doi.org/10.4208/aamm.OA-2022-0060 UR - https://global-sci.org/intro/article_detail/aamm/22294.html KW - The method of characteristics, mass-preserving, finite difference, miscible displacement problem. AB -

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.

Zhang , JiansongYu , YueQin , Rong and Liu , Zhaohui. (2023). A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem. Advances in Applied Mathematics and Mechanics. 16 (1). 164-180. doi:10.4208/aamm.OA-2022-0060
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