Finite element method for two-phase immiscible flow

被引：0
|
作者：
Sun, WT [1 ]
Zhang, HY [1 ]
机构：
[1] Shandong Univ, Jinan 250100, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 1999年 / 15卷 / 04期
关键词：
finite element method; immiscible flow; conservation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An explicit finite element method for numerically solving the two-phase, immiscible, incompressible flow in a porous medium in two space dimensions is analyzed. The method is based on the use of a mixed finite element method for the approximation of the velocity and pressure a discontinuous upwinding finite element method for the approximation of the saturation. The mixed method gives an approximate velocity field in the precise form needed by the discontinuous method, which is trivially conservative and fully parallelizable in computation. It is proven that it converges to the exact solution. (C) 1999 John Wiley & Sons, Inc.
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页码：407 / 416
页数：10
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