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

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...

Full description

Bibliographic Details
Main Authors: Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/136483
id doaj-b0152827899740f2996223dbedd6f7ba
record_format Article
spelling doaj-b0152827899740f2996223dbedd6f7ba2020-11-24T23:58:53ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/136483136483Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface ConditionYong Cao0Yuchuan Chu1Xiaoming He2Mingzhen Wei3Department of Mechanical Engineering & Automation, Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen, Guangdong 518055, ChinaDepartment of Mechanical Engineering & Automation, Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen, Guangdong 518055, ChinaDepartment of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USADepartment of Geological Science and Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USAThis 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.http://dx.doi.org/10.1155/2013/136483
collection DOAJ
language English
format Article
sources DOAJ
author Yong Cao
Yuchuan Chu
Xiaoming He
Mingzhen Wei
spellingShingle Yong Cao
Yuchuan Chu
Xiaoming He
Mingzhen Wei
Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition
Abstract and Applied Analysis
author_facet Yong Cao
Yuchuan Chu
Xiaoming He
Mingzhen Wei
author_sort Yong Cao
title Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition
title_short Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition
title_full Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition
title_fullStr Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition
title_full_unstemmed Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition
title_sort decoupling the stationary navier-stokes-darcy system with the beavers-joseph-saffman interface condition
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/136483
work_keys_str_mv AT yongcao decouplingthestationarynavierstokesdarcysystemwiththebeaversjosephsaffmaninterfacecondition
AT yuchuanchu decouplingthestationarynavierstokesdarcysystemwiththebeaversjosephsaffmaninterfacecondition
AT xiaominghe decouplingthestationarynavierstokesdarcysystemwiththebeaversjosephsaffmaninterfacecondition
AT mingzhenwei decouplingthestationarynavierstokesdarcysystemwiththebeaversjosephsaffmaninterfacecondition
_version_ 1725449137089937408

Similar Items