数值模拟混溶驱动问题的迎风格式及理论分析

AN UPWIND SCHEME METHOD OF NUMERICAL SIMULATION FOR MISCIBLE DISPLACEMENT PROBLEM AND IT'S THEORETICAL ANALYSIS

本文提出数值模拟混溶驱动问题的一类广义迎风格式，严格证明了其满足离散极值原理和离散质量守恒原理，并获得收敛性定理，对模型问题的试算，得到令人满意的数值结果。

In this paper we propose an upwind scheme method of numerical simulation for miscible displacement in porous media.The discrete maximum principle and the discrete mass conservation law were proved,and the convergence theorems were obtained. A numerical test is established and the numerical solution is very efficient.