کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639804 | 1341251 | 2012 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A multilevel decoupled method for a mixed Stokes/Darcy model A multilevel decoupled method for a mixed Stokes/Darcy model](/preview/png/4639804.png)
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.
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 9, March 2012, Pages 2452–2465