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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/136483 |
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| _version_ | 1832560616214102016 |
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| author | Yong Cao Yuchuan Chu Xiaoming He Mingzhen Wei |
| author_facet | Yong Cao Yuchuan Chu Xiaoming He Mingzhen Wei |
| author_sort | Yong Cao |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b0152827899740f2996223dbedd6f7ba |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b0152827899740f2996223dbedd6f7ba2025-02-03T01:27:10ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| 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 |