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

Cao, Yong; Chu, Yuchuan; He, Xiaoming; Wei, Mingzhen

doi:10.1155/2013/136483

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

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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:

^[1]; Chu, Yuchuan ^[1];

^[2]; Wei, Mingzhen ^[3]

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

Publication Date:: Tue Jan 01 00:00:00 EST 2013

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.

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                    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.  https://doi.org/10.1155/2013/136483

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                    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.  https://doi.org/10.1155/2013/136483.

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@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         = {Tue Jan 01 00:00:00 EST 2013},

  month        = {Tue Jan 01 00:00:00 EST 2013}

}

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