A numerical method for a model of two-phase flow in a coupled free flow and porous media system

A numerical method for a model of two-phase flow in a coupled free flow and porous media system
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DOI：
10.1016/j.jcp.2014.02.043
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发表时间：
2014-07
期刊：
J. Comput. Phys.
影响因子：
--
通讯作者：
Jie Chen;Shuyu Sun;Xiaoping Wang
Jie Chen;Shuyu Sun;Xiaoping Wang
中科院分区：
其他
文献类型：
--
作者：
Jie Chen;Shuyu Sun;Xiaoping Wang

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在本文中，我们研究耦合自由流和多孔介质区域中的两相流体流动。该模型由自由流体区域中的耦合 Cahn-Hilliard 和 Navier-Stokes 方程以及多孔介质区域中的两相达西定律组成。我们提出了一种罗宾-罗宾域分解方法，用于耦合纳维-斯托克斯和达西系统，在自由流和多孔介质区域之间的界面上具有广义比弗斯-约瑟夫-萨夫曼条件。数值例子说明了该方法的有效性。
In this article, we study two-phase fluid flow in coupled free flow and porous media regions. The model consists of coupled Cahn–Hilliard and Navier–Stokes equations in the free fluid region and the two-phase Darcy law in the porous medium region. We propose a Robin–Robin domain decomposition method for the coupled Navier–Stokes and Darcy system with the generalized Beavers–Joseph–Saffman condition on the interface between the free flow and the porous media regions. Numerical examples are presented to illustrate the effectiveness of this method.