Open Access
2013 Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition
Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei
Abstr. Appl. Anal. 2013(SI13): 1-10 (2013). DOI: 10.1155/2013/136483

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.

Citation

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Yong Cao. Yuchuan Chu. Xiaoming He. Mingzhen Wei. "Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition." Abstr. Appl. Anal. 2013 (SI13) 1 - 10, 2013. https://doi.org/10.1155/2013/136483

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1311.76131
MathSciNet: MR3108668
Digital Object Identifier: 10.1155/2013/136483

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI13 • 2013
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