Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations

被引：41
|
作者：
Zheng, Haibiao [1 ]
Hou, Yanren [1 ]
Shi, Feng [1 ]
机构：
[1] Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2010年 / 229卷 / 19期
关键词：
Navier-Stokes equations; Variational multiscale methods; h-Adaptive; Two local Gauss integrations; POSTERIORI ERROR ESTIMATORS; SUPERCONVERGENT PATCH RECOVERY; DEFECT-CORRECTION METHODS; NAVIER-STOKES EQUATIONS; MIXED FINITE-ELEMENTS; STABILIZATION; FORMULATION;
D O I：
10.1016/j.jcp.2010.05.038
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider variational multiscale (VMS) methods with h-adaptive technique for the stationary incompressible Navier-Stokes equations. The natural combination of VMS with adaptive strategy retains the best features of both methods and overcomes many of their deficits. A reliable a posteriori projection error estimator is derived, which can be computed by two local Gauss integrations at the element level. Finally, some numerical tests are presented to illustrate the method's efficiency. (C) 2010 Elsevier Inc. All rights reserved.
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页码：7030 / 7041
页数：12
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