A mixed element method for Darcy–Forchheimer incompressible miscible displacement problem
A mixed element method for Darcy–Forchheimer incompressible miscible displacement problem
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DOI：
10.1016/j.cma.2013.05.011
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发表时间：
2013-09
影响因子：
7.2
通讯作者：
Hao Pan;H. Rui
中科院分区：
文献类型：
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作者：
Hao Pan;H. Rui
考虑了多孔介质中不可压缩混相驱替问题的数值格式，其中速度-压力关系用Darcy-Forchheimer方程描述。用Raviart-Thomas元、Brezzi-Douglas-Marini元等混合元处理Darcy-Forchheimer方程，用标准有限元近似浓度。建立了速度、压力和浓度在不同范数下的误差估计。数值实验验证了该方法的有效性。
A numerical scheme for incompressible miscible displacement problem in porous media is considered in which the velocity–pressure relation is described by the Darcy–Forchheimer equation. Mixed element such as Raviart–Thomas element, Brezzi–Douglas–Marini element is used to handle the Darcy–Forchheimer equation and standard finite element is used to approximate concentration. Error estimates for velocity, pressure and concentration in different norms are established. Numerical experiments are given to verify the efficiency of the presented scheme.