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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 136483, 10 pages
http://dx.doi.org/10.1155/2013/136483
Research Article

Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition

1Department of Mechanical Engineering & Automation, Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen, Guangdong 518055, China
2Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USA
3Department of Geological Science and Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USA

Received 5 April 2013; Accepted 31 July 2013

Academic Editor: R. K. Bera

Copyright © 2013 Yong Cao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.