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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2011, Vol. 12 Issue (1): 33-45    DOI: 10.1631/jzus.A1000098
Mechanics and Mechanical Engineering     
A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries
Cheng Huang, Dai Zhou, Yan Bao
School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
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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.

Key words： Semi-implicit three-step method      Streamline upwind/Petrov-Galerkin (SUPG) finite element method (FEM)      Unsteady incompressible flows      Lid driven cavity problem     
Received: 13 March 2010      Published: 06 January 2011
CLC:  TU3  
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Cheng Huang
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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. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2011, 12(1): 33-45.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A1000098     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2011/V12/I1/33

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