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

Author

Listed:
  • Yong Cao
  • Yuchuan Chu
  • Xiaoming He
  • Mingzhen Wei

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.

Suggested Citation

  • Yong Cao & Yuchuan Chu & Xiaoming He & Mingzhen Wei, 2013. "Decoupling the Stationary Navier‐Stokes‐Darcy System with the Beavers‐Joseph‐Saffman Interface Condition," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:136483
    DOI: 10.1155/2013/136483
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    References listed on IDEAS

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    1. M. Discacciati & A. Quarteroni, 2003. "Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 3-20, Springer.
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