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

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.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [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:
Sponsoring Org.:
USDOE
OSTI Identifier:
1227968
Grant/Contract Number:  
FE0009843
Resource Type:
Published Article
Journal Name:
Abstract and Applied Analysis
Additional Journal Information:
Journal Name: Abstract and Applied Analysis Journal Volume: 2013; Journal ID: ISSN 1085-3375
Publisher:
Hindawi Publishing Corporation
Country of Publication:
Country unknown/Code not available
Language:
English

Citation Formats

Cao, Yong, Chu, Yuchuan, He, Xiaoming, and Wei, Mingzhen. Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition. Country unknown/Code not available: N. p., 2013. Web. doi:10.1155/2013/136483.
Cao, Yong, Chu, Yuchuan, He, Xiaoming, & Wei, Mingzhen. Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition. Country unknown/Code not available. doi:10.1155/2013/136483.
Cao, Yong, Chu, Yuchuan, He, Xiaoming, and Wei, Mingzhen. Tue . "Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition". Country unknown/Code not available. doi:10.1155/2013/136483.
@article{osti_1227968,
title = {Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition},
author = {Cao, Yong and Chu, Yuchuan and He, Xiaoming and Wei, Mingzhen},
abstractNote = {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.},
doi = {10.1155/2013/136483},
journal = {Abstract and Applied Analysis},
number = ,
volume = 2013,
place = {Country unknown/Code not available},
year = {2013},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1155/2013/136483

Citation Metrics:
Cited by: 3 works
Citation information provided by
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