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 - <p style="text-align: justify;">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.</p>