Journal of Vibration Testing and System Dynamics
A Subgrid Stabilized Method for Liddriven Cavity Flow at Higher Reynolds Number
Journal of Vcibration Testing and System Dynamics 4(3) (2020) 249258  DOI:10.5890/JVTSD.2020.09.002
Yamiao Zhang$^{1}$, Langhuan Lou$^{1}$, Jiazhong Zhang$^{2}$, Yongshen He$^{2}$
$^{1}$ School of Science, Xi’an University of Posts and Telecommunications, Xi’an 710121, China
$^{2}$ School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China
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Abstract
A subgrid stabilized method based on two local Gauss integrations is presented to the numerical simulation of 2D steady incompressible liddriven cavity flow at higher Reynolds numbers. The main idea of this method is to use the subgrid model based on two local Gauss integrations as a stabilized term on the finite element discretization. In this method, the discretization equation is solved by Oseen iterative scheme. It is shown that steady flow simulations of the liddriven cavity problem are computable up to Re = 45000. This maximum Reynolds number has not been reached by other stabilized finite element methods reported. Moreover, the computed vorticity values at the center of the primary vortex agree well with previous analytical solutions in the limit of infinite Reynolds number, and the numerical results for the properties of the primary vortex and the velocity components are also in agreement with the benchmark data in earlier studies.
Acknowledgments
This research was supported by the Research Fund(No.106205020027), the Key Research and Development Program of Shaanxi Province (No. 2017ZDCXLGY0202) and the State Key Laboratory of Compressor and Key Laboratory of Compressor of Anhui Province(No. SKLYSJ201802).
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