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Journal of Zhejiang University SCIENCE A 2011 Vol.12 No.1 P.33-45

http://doi.org/10.1631/jzus.A1000098


A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries


Author(s):  Cheng Huang, Dai Zhou, Yan Bao

Affiliation(s):  School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Corresponding email(s):   ryanhuang@sjtu.edu.cn, zhoudai@sjtu.edu.cn, ybao@sjtu.edu.cn

Key Words:  Semi-implicit three-step method, Streamline upwind/Petrov-Galerkin (SUPG) finite element method (FEM), Unsteady incompressible flows, Lid driven cavity problem


Cheng Huang, Dai Zhou, Yan Bao. A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries[J]. Journal of Zhejiang University Science A, 2011, 12(1): 33-45.

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author="Cheng Huang, Dai Zhou, Yan Bao",
journal="Journal of Zhejiang University Science A",
volume="12",
number="1",
pages="33-45",
year="2011",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1000098"
}

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%T A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries
%A Cheng Huang
%A Dai Zhou
%A Yan Bao
%J Journal of Zhejiang University SCIENCE A
%V 12
%N 1
%P 33-45
%@ 1673-565X
%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1000098

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T1 - A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries
A1 - Cheng Huang
A1 - Dai Zhou
A1 - Yan Bao
J0 - Journal of Zhejiang University Science A
VL - 12
IS - 1
SP - 33
EP - 45
%@ 1673-565X
Y1 - 2011
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1000098


Abstract: 
A numerical algorithm using a bilinear or linear finite element and semi-implicit three-step method is presented for the analysis of incompressible viscous fluid problems. The streamline upwind/Petrov-Galerkin (SUPG) stabilization scheme is used for the formulation of the Navier-Stokes equations. For the spatial discretization, the convection term is treated explicitly, while the viscous term is treated implicitly, and for the temporal discretization, a three-step method is employed. The present method is applied to simulate the lid driven cavity problems with different geometries at low and high Reynolds numbers. The results compared with other numerical experiments are found to be feasible and satisfactory.

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Reference

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