多孔介质中不可压缩流体的可混溶驱动问题的配置法  

A COLLOCATION METHOD FOR INCOMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA

作　　者：鲁统超[1] 

机构地区：[1]山东大学

出　　处：《高等学校计算数学学报》1992年第3期214-224,共11页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金

摘　　要：有了以上准备之后,我们给出有限元剖分,以h_c,h_p分别表示饱和度方程和压力方程的空间剖分步长,Δt_c,Δt_p分别表示饱和度方程和压力方程的时间剖分步长,且使:Miscible displacement of one incompressible fluid by another in a porous medium is modeled by a nonlinear coupled system of two partial differential equations. The pressure equation is elliptic, while the concentration equation is parabolic but normally convection-dominated. Two finite element collocation procedures are presented to approximate this problem. Optimal order estimates are derived for the errors in the appoximate solutions for both methods.

关 键 词：不可压缩流体 可混溶驱动 配置法 

分 类 号：O351.3[理学—流体力学]