油水驱动问题的Godunov-mixed方法数值分析  

Analysis of an Approximation of Miscible Displacement in Porous Media by Godunov-mixed Methods

作　　者：宋怀玲[1] 

机构地区：[1]湖南大学数学与计量经济学院,长沙410082

出　　处：《工程数学学报》2007年第1期87-94,共8页Chinese Journal of Engineering Mathematics

基　　金：国家重点基础研究专项经费(G1999032803);国家自然科学基金(10372052;10271066)

摘　　要：不可压缩油水渗流驱动问题一般由两个方程给出:压力方程和饱和度方程,采用Godunov- mixed方法逼近,即用混合元方法近似压力方程:饱和度方程的对流项用Godunov-flux函数来处理,而扩散项则用混合元来逼进。当流动是光滑分布时可以得到最优阶的估计。The miscible displacement of one incompressible fluid by another in a porous medium is governed by a system of two equations, one of elliptic form for the pressure and the other of parabolic form for the concentration of one of the fluids. The pressure appears in the concentration only through its velocity field and it is appropriate to choose a numerical method that approximates the velocity directly. The pressure is approximated by a mixed finite element method and the concentration by a method which upwinds the convection and incorporates diffusion using a mixed finite element method. Optimal order estimates are derived when the imposed external flows are smoothly distributed. A numerical experiment is presented.

关 键 词：不可压 迎风 混合元 Godunov-mixed 

分 类 号：O241.82[理学—计算数学]