@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} }