This paper proposes a domain decomposition method for the coupled stationary Navier-Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition in order to improve the efficiency of the finite element method. The physical interface conditions are directly utilized to construct the boundary conditions on the interface and then decouple the Navier-Stokes and Darcy equations. Newton iteration will be used to deal with the nonlinear systems. Numerical results are presented to illustrate the features of the proposed method.
Y. Cao et al., "Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition," Abstract and Applied Analysis, vol. 2013, Hindawi Publishing Corporation, Jul 2013.
The definitive version is available at https://doi.org/10.1155/2013/136483
Mathematics and Statistics
Geosciences and Geological and Petroleum Engineering
International Standard Serial Number (ISSN)
Article - Journal
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