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Wind and Structures
  Volume 14, Number 5, September 2011, pages 465-480

Stabilized finite element technique and its application for turbulent flow with high Reynolds number
Cheng Huang, Bao Yan, Dai Zhou and Jinquan Xu

    In this paper, a stabilized large eddy simulation technique is developed to predict turbulent flow with high Reynolds number. Streamline Upwind Petrov-Galerkin (SUPG) stabilized method and three-step technique are both implemented for the finite element formulation of Smagorinsky sub-grid scale (SGS) model. Temporal discretization is performed using three-step technique with viscous term treated implicitly. And the pressure is computed from Poisson equation derived from the incompressible condition. Then two numerical examples of turbulent flow with high Reynolds number are discussed. One is lid driven flow at Re = 105 in a triangular cavity, the other is turbulent flow past a square cylinder at Re = 22000. Results show that the present technique can effectively suppress the instabilities of turbulent flow caused by traditional FEM and well predict the unsteady flow even with coarse mesh.
Key Words
    large eddy simulation; finite element method; high Reynolds number; Streamline Upwind Petrov-Galerkin; subgrid-scale model.
Cheng Huang, Bao Yan, Dai Zhou and Jinquan Xu: School of Naval Architecture, Ocean and Civil engineering, Shanghai Jiao Tong University, Shanghai 200240, China

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