Local projection stabilized finite element method for Navier-Stokes equations

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Local projection stabilized finite element method for Navier-Stokes equations

This paper extends the results of Matthies, Skrzypacz, and Tubiska for the Oseen problem to the Navier-Stokes problem. For the stationary incompressible NavierStokes equations, a local projection stabilized finite element scheme is proposed. The scheme overcomes convection domination and improves the restrictive inf-sup condition.It not only is a two-level approach but also is adaptive for pairs of spaces defined on the same mesh. Using the approximation and projection spaces defined on the same mesh, the scheme leads to much more compact stencils than other two-level approaches. On the same mesh, besides the class of local projection stabilization by enriching the approximation spaces, two new classes of local projection stabilization of the approximation spaces are derived, which do not need to be enriched by bubble functions. Based on a special interpolation, the stability and optimal prior error estimates are shown. Numerical results agree with some benchmark solutions and theoretical analysis very well.水利论文l JV7b&_2K

作 者: Yan-mei QIN Min-fu FENG Kun LUO Kai-teng WU  
作者单位:Yan-mei QIN,Kai-teng WU(Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang 641112,Sichuan Province,P.R.China;College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641112,Sichuan Province,P.R.China)水利论文3n\e}+r_+r
Min-fu FENG,Kun LUO(School of Mathematics,Sichuan University,Chengdu 610054,P.R.China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2010 31(5) 
分类号:O242.21 
关键词:local projection   Navier-Stokes equations   Reynolds number  
机标关键词:Navier-Stokesapproximation spacesNavierStokes equationsfinite element schemeNumerical resultserror estimatesdefinedmeshtwosolutionsbenchmarkapproachanalysisspecialpaperclassBasednew 
基金项目:Project supported by the National Natural Science Foundation of China,the Sichuan Science and Technology Project,the Youth Science Foundation of Neijiang Normal University 
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