Abstract

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.

Department(s)

Mathematics and Statistics

Second Department

Geosciences and Geological and Petroleum Engineering

International Standard Serial Number (ISSN)

10853375

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2013 Hindawi Publishing Corporation, All rights reserved.

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