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

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.
Authors:
 [1] ;  [1] ;  [2] ;  [3]
  1. Department of Mechanical Engineering & Automation, Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen, Guangdong 518055, China
  2. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USA
  3. Department of Geological Science and Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USA
Publication Date:
OSTI Identifier:
1227968
Grant/Contract Number:
FE0009843
Type:
Published Article
Journal Name:
Abstract and Applied Analysis
Additional Journal Information:
Journal Volume: 2013; Related Information: CHORUS Timestamp: 2016-08-18 08:41:31; Journal ID: ISSN 1085-3375
Publisher:
Hindawi Publishing Corporation
Sponsoring Org:
USDOE
Country of Publication:
Country unknown/Code not available
Language:
English