@Article{AAMM-16-1, author = {Zhang, Jiansong and Yue, Yu and Rong, Qin and Zhaohui, Liu}, title = {A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2024}, 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 = {https://global-sci.com/article/72805/a-mass-preserving-characteristic-finite-difference-method-for-miscible-displacement-problem} }