扩散系数为矩阵形式的两相混溶驱动问题的修正迎风差分格式  

THE MODIFIED UPWIND DIFFERENCE SCHEME FOR TWO PHASE MISCIBLE DISPLACEMENT WITH THE DIFFUSION COEFFICIENT BEING A MATRIX

作　　者：崔明荣[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《高等学校计算数学学报》2002年第1期23-30,共8页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金;高等学校博士点基金资助项目

摘　　要：In this paper, the two phase miscible displacement with the diffusion coefficient being a positive definite matrix is considered. Central difference scheme for the pressure equation is given. Overcoming the essential difficulties encountered by the usual modified upwind difference scheme by using the splitting of matrix, the modified upwind difference scheme for the concentration equation is given. Error estimate is provided.In this paper, the two phase miscible displacement with the diffusion coefficient being a positive definite matrix is considered. Central difference scheme for the pressure equation is given. Overcoming the essential difficulties encountered by the usual modified upwind difference scheme by using the splitting of matrix, the modified upwind difference scheme for the concentration equation is given. Error estimate is provided.

关 键 词：扩散系数 迎风差分格式 油藏数值模拟 两相混溶驱动问题 非线性 偏微分方程 收敛性 

分 类 号：TE341[石油与天然气工程—油气田开发工程] O241.82[理学—计算数学]