Article ID Journal Published Year Pages File Type
5776089 Journal of Computational and Applied Mathematics 2017 23 Pages PDF
Abstract
This paper considers a multilevel decoupling method for the coupled Navier-Stokes/Darcy model describing a free flowing fluid over a porous medium. The method utilizes a sequence of meshes on which a low dimensional fully coupled nonlinear problem is solved only on a very coarse initial mesh. On subsequent finer meshes, the approximate solution in each flow region is obtained by solving a linear decoupled problem and performing a correction step. The correction step in each domain is achieved by solving a linear system that differs from the original decoupled system only in the right hand side. We prove optimal error estimates and demonstrate that for a sequence of meshes with spacing hj=hj−12, the decoupling method is computationally efficient and achieves the same order of approximation as the fully coupled method.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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