Local and parallel finite element methods for the mixed Navier-Stokes/Darcy model

被引：19
作者：
Du, Guangzhi [1 ]
Hou, Yanren [1 ]
Zuo, Liyun [1 ,2 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2016年 / 93卷 / 07期
关键词：
Navier-stokes equations; Darcy's law; decoupling; two-grid discretization; parallel finite element method; DOMAIN DECOMPOSITION METHODS; DARCY MODEL; 2-GRID METHOD; DECOUPLING METHOD; COUPLING STOKES; ALGORITHMS; FLOW; DISCRETIZATION; SURFACE; SYSTEM;
D O I：
10.1080/00207160.2015.1026338
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the mixed Navier-Stokes/Darcy problem which describes a fluid flow filtrating through porous media is considered. Based on two-grid discretizations, two local and parallel finite element algorithms for solving this mixed model are proposed. Numerical analysis and experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithms.
引用
收藏
页码：1155 / 1172
页数：18
相关论文
共 58 条
[1]  
Adams R.A., 1975, Sobolev Spaces
[2]   A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium [J].
Arbogast, Todd ;
Brunson, Dana S. .
COMPUTATIONAL GEOSCIENCES, 2007, 11 (03) :207-218
[3]   BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].
BEAVERS, GS ;
JOSEPH, DD .
JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&
[4]   DOMAIN DECOMPOSITION METHODS FOR SOLVING STOKES-DARCY PROBLEMS WITH BOUNDARY INTEGRALS [J].
Boubendir, Yassine ;
Tlupova, Svetlana .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (01) :B82-B106
[5]   A multilevel decoupled method for a mixed Stokes/Darcy model [J].
Cai, Mingchao ;
Mu, Mo .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (09) :2452-2465
[6]   NUMERICAL SOLUTION TO A MIXED NAVIER-STOKES/DARCY MODEL BY THE TWO-GRID APPROACH [J].
Cai, Mingchao ;
Mu, Mo ;
Xu, Jinchao .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (05) :3325-3338
[7]   Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications [J].
Cai, Mingchao ;
Mu, Mo ;
Xu, Jinchao .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) :346-355
[8]  
Cao YZ, 2014, MATH COMPUT, V83, P1617
[9]   Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition [J].
Cao, Yanzhao ;
Gunzburger, Max ;
He, Xiaoming ;
Wang, Xiaoming .
NUMERISCHE MATHEMATIK, 2011, 117 (04) :601-629
[10]   FINITE ELEMENT APPROXIMATIONS FOR STOKES-DARCY FLOW WITH BEAVERS-JOSEPH INTERFACE CONDITIONS [J].
Cao, Yanzhao ;
Gunzburger, Max ;
Hu, Xiaolong ;
Hua, Fei ;
Wang, Xiaoming ;
Zhao, Weidong .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 47 (06) :4239-4256
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