两相渗流驱动问题的正交配置法  

A orthogonal collocation method for two-phase flow problem

作　　者：马宁[1] 

机构地区：[1]山东大学数学与系统科学学院 山东 济南 250100

出　　处：《山东大学学报（理学版）》2004年第3期21-26,共6页Journal of Shandong University(Natural Science)

基　　金：教育部博士点基金资助项目(1999042215)

摘　　要：讨论在二维情况下,多孔介质中不可压缩流体的可混溶驱动问题,它是两个偏微分方程的耦合系统,压力方程是椭圆的,而饱和度方程是以对流为主的抛物型的.压力方程和饱和度方程都用配置法来逼近,并且证明了数值解的存在唯一性,最后得到了最优阶L2模误差估计.Miscible displacement of one incompressible fluid by another in a porous medium is modeled by a coupled system of two partial differential equations in two dimensions. The pressure equation is elliptic, while the concentration equation is parabolic but normally covenction-dominated. They are approximated by a collocation method, and the existence and uniqueness of it' s solution are proved. Optimal order error estimate is demonstrated.

关 键 词：不可压缩 配置法 误差估计 

分 类 号：O241.82[理学—计算数学]