Decoupled modified characteristics finite element method for the time dependent Navier-Stokes/Darcy problem
Decoupled modified characteristics finite element method for the time dependent Navier-Stokes/Darcy problem
复制标题
解耦修正特性有限元法求解瞬态纳维-斯托克斯/达西问题
DOI：
10.1002/mma.2901
复制
发表时间：
2014
影响因子：
2.9
通讯作者：
Li Shishun
中科院分区：
文献类型：
--
作者：
Si Zhiyong;Wang Yunxia;Li Shishun
本文提出了一种求解含时Navier-Stokes/Darcy问题的修正特征有限元方法，该方法具有Beavers-Joseph-Saffman界面条件。该方法将Navier-Stokes/Darcy方程解耦为Navier-Stokes方程和Darcy方程，并用修正特征有限元法求解Navier-Stokes方程。理论分析表明，该方法具有良好的收敛性。为了说明该方法的有效性，给出了一些数值结果.数值结果表明该方法是高效的。版权所有© 2013约翰威利父子有限公司.
In this paper, a modified characteristics finite element method for the time dependent Navier–Stokes/Darcy problem with the Beavers–Joseph–Saffman interface condition is presented. In this method, the Navier–Stokes/Darcy equation is decoupled into two equations, one is the Navier–Stokes equation, the other is the Darcy equation, and the Navier–Stokes equation is solved by the modified characteristics finite element method. The theory analysis shows that this method has a good convergence property. In order to show the effect of our method, some numerical results was presented. The numerical results show that this method is highly efficient. Copyright © 2013 John Wiley & Sons, Ltd.