A multilevel decoupled method for a mixed Stokes/Darcy model

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Cai, Mingchao¹  Mu, Mo² 

[1] Worcester Polytech Inst, Dept Math Sci, Worcester, MA USA

[2] Hong Kong Univ Sci & Technol, Dept Mathematics, Hong Kong, Hong Kong, Peoples R China

关键词: Coupling fluid and porous media flows;    Stokes equations;    Darcy's law;    Multi-domain problems;    Two-level method;    Multilevel algorithm;   

DOI  :  10.1016/j.cam.2011.12.003

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

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