A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries 被引量：1

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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摘要 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. 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.

作者 Cheng HUAN Dai ZHOU Yan BAO

机构地区 School of Naval Architecture

出处《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2011年第1期33-45,共13页 浙江大学学报（英文版）A辑（应用物理与工程）

基金 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) the Key Project of Fund of Science and Technology Development of Shanghai (No.10JC1407900),China

关键词 Semi-implicit three-step method Streamline upwind/Petrov-Galerkin （SUPG） finite element method （FEM） Unsteady incompressible flows Lid driven cavity problem 几何形状驱动流半隐式有限元方程不可压缩粘性流体 Stokes方程顶盖非线性有限元

分类号 O241.82 [理学—计算数学] TQ172.623 [化学工程—水泥工业]

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