一维不可压缩两相渗流驱动问题的特征有限体积元方法  

Characteristic Finite Volume Element Method for One Dimensional Two-Phase Incompressible Flow in Porous Media

作　　者：封常荣[1] 陈传军[1] 

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2008年第3期166-171,共6页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(10471079)

摘　　要：在初始网格剖分上采取分段线性函数空间作为特征有限体积元方法的试探函数空间,在相应的对偶网格上采取分段常数函数空间作为其检验函数空间,将特征线方法与有限体积元方法相结合,构造出特征有限体积元方法,对一维不可压缩两相渗流驱动问题提出了全离散有特征限体积元方法,并得到最优阶的H1模误差估计.A characteristic finite volume element method is given for one dimensional two-phase incompressible flow in porous media. On the original grid, piecewise linear polynomial function space is used as the trial function space in this method. And on the dual grid, piecewise constant function space is used as the test function space. Combining the characteristic method and the finite volume element method, a characteristic finite volume element one is formalated. Finally an error estimate in the H1-norm is given.

关 键 词：特征有限体积元方法 不可压缩 全离散 线性元 误差估计 

分 类 号：O241.82[理学—计算数学]