低Reynolds数横向排列双圆柱绕流的POD-Galerkin谱方法数值模拟  

Numerical simulation of flow around two side-by-side circular cylinders at low Reynolds numbers by a POD-Galerkin spectral method

作　　者：张伟[1] 陈诚[1] 孙德军[1] 

机构地区：[1]中国科学技术大学近代力学系,合肥230027

出　　处：《水动力学研究与进展（A辑）》2009年第1期82-88,共7页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金项目(10432020);高等学校学科创新引智计划项目(B07033)资助

摘　　要：该文将恰当正交分解(POD)方法应用到低Reynolds数(Re)二维横向排列双圆柱绕流问题。采用Fluent数值模拟得到Re=90时的流场数据库,在此基础上采用snapshot的方法构造了POD基。基于此POD基,构造了求解二维不可压缩Navier-Stokes方程组的低维Galerkin谱方法。采用该低维数值模拟方法,再现了低Reynolds数横向排列双圆柱绕流的多种复杂流动模式,其结果与已有的高精度直接数值模拟的结果符合较好,而计算量却非常小,显示了POD方法的有效性和优越性。A proper orthogonal decomposition （POD） method is applied to the problem of two dimensional flow around two side-by-side circular cylinders. Flow database at Re=90 is obtained by CFD software FLUENT, with which POD bases are constructed by a snapshot method. Based on the POD bases, a low-dimensional spectral method is established for solving two dimensional incompressible Navier-Stokese equations. By using this low-dimensional numerical simulation method, various complex flow patterns of flow around two side-by-side circular cylinders at low Reynolds numbers are revealed, which are in well agreement with available results from other highly accurate numerical simulation methods. However, the computation amount of POD is little, which shows the availability and advantage of POD method.

关 键 词：POD低维模型 横向排列双圆柱 流动模式 

分 类 号：TV131.2[水利工程—水力学及河流动力学]