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

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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.

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Authors and Affiliations

  1. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Cheng Huang, Dai Zhou & Yan Bao

Authors
  1. Cheng Huang
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  2. Dai Zhou
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  3. Yan Bao
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Correspondence to Dai Zhou.

Additional information

Project supported by the National Natural Science Foundation of China (No. 51078230), the Research Fund for the Doctoral Program of Higher Education of China (No. 200802480056), and the Key Project of Fund of Science and Technology Development of Shanghai (No. 10JC1407900), China

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Huang, C., Zhou, D. & Bao, Y. A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries. J. Zhejiang Univ. Sci. A 12, 33–45 (2011). https://doi.org/10.1631/jzus.A1000098

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  • DOI: https://doi.org/10.1631/jzus.A1000098

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