Navier-Stokes/Darcy Coupling: Modeling, Analysis, and Numerical Approximation

Navier-Stokes/Darcy Coupling: Modeling, Analysis, and Numerical Approximation
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DOI:
10.5209/rev_rema.2009.v22.n2.16263
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发表时间:
2009-07
影响因子:
0.8
通讯作者:
M. Discacciati;A. Quarteroni
M. Discacciati;A. Quarteroni
中科院分区:
数学3区
文献类型:
--
作者:
M. Discacciati;A. Quarteroni

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本文是一个概述的已知和新的成果耦合的Navier-Stokes方程和达西方程来模拟不可压缩流体通过多孔介质的过滤。我们讨论了耦合条件,我们分析了全球耦合模型,以证明其适定性和有效的算法来计算其数值近似的解决方案的特点。
This paper is an overview of known and new results about the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through porous media. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-posedness and to characterize effective algorithms to compute the solution of its numerical approximation.