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

作　　者：Cheng HUAN Dai ZHOU Yan BAO 

机构地区：[1]School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》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

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.

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

分 类 号：O241.82[理学—计算数学] TQ172.623[理学—数学]