A multilevel decoupled method for a mixed Stokes/Darcy model
A multilevel decoupled method for a mixed Stokes/Darcy model
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DOI：
10.1016/j.cam.2011.12.003
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发表时间：
2012-03
期刊：
影响因子：
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通讯作者：
M. Cai;Mo Mu
中科院分区：
文献类型：
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作者：
M. Cai;Mo Mu
本文研究了耦合流体-多孔介质流动的Stokes/Darcy混合模型的解耦数值方法。Mu和Xu（2007）[10]提出并分析了一种两级算法。本文将两层算法推广到多层算法，并给出了多层算法误差估计的数值分析。多级算法解决了混合Stokes/Darcy系统，通过应用高效的传统代码为单一模型求解器解决两个解耦的Stokes和Darcy子问题的所有后续细化网格，除了一个小得多的全球问题，只有一个非常粗糙的初始网格。通过数值实验验证了两层和多层算法的有效性和效率，并验证了相关的理论分析。
This paper studies decoupled numerical methods for a mixed Stokes/Darcy model for coupling fluid and porous media flows. A two-level algorithm is proposed and analyzed in Mu and Xu (2007) [10]. We generalize the two-level algorithm to a multilevel algorithm in this paper and present numerical analysis on the error estimates for the multilevel algorithm. The multilevel algorithm solves the mixed Stokes/Darcy system by applying efficient legacy code for single model solvers to solve two decoupled Stokes and Darcy subproblems on all the subsequently refined meshes, except for a much smaller global problem only on a very coarse initial mesh. Numerical experiments are conducted for both the two-level and multilevel algorithms to illustrate their effectiveness and efficiency, and validate the related theoretical analysis.