A Mass-Preserving Characteristic Finite Difference Method For Miscible Displacement Problem  

作　　者：Jiansong Zhang Yue Yu Rong Qin Zhaohui Liu 

机构地区：[1]Department of Applied Mathematics,China University of Petroleum,Qingdao,Shandong 266580,China

出　　处：《Advances in Applied Mathematics and Mechanics》2024年第1期164-180,共17页应用数学与力学进展（英文）

基　　金：supported by the Fundamental Research Funds for the Central Universities(Grant No.22CX03020A).

摘　　要：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.

关 键 词：The method of characteristics mass-preserving finite difference miscible displacement problem 

分 类 号：O17[理学—数学]