多孔介质中不可压缩流体的可混溶驱动问题的全离散有限元配置法  

A complete discrete finite element collocation method for incompressible miscible displacement in porous media

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2期7-11,共5页Journal of Shandong University(Natural Science)

基　　金：教育部博士点基金资助项目 (19990 42 2 15 )

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 .压力方程用标准的Galerkin方法来逼近 ,饱和度方程用配置法来逼近 ,并且证明了数值解的存在唯一性 ,最后得到了最优阶的误差估计 .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. A sequential backward-difference time-stepping scheme is defined: it approximates the pressure by a standard Galerkin procedure and the concentration 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]