论文:2014,Vol:32,Issue(4):612-617
引用本文:
王掩刚, 陈俊旭, 先松川. 基于POD方法的二维方柱低雷诺数绕流流场分析研究[J]. 西北工业大学
Wang Yangang, Chen Junxu, Xian Songchuan. Analysis of Square Cylinder Unsteady Flow at Low Reynolds Number with POD Method[J]. Northwestern polytechnical university

基于POD方法的二维方柱低雷诺数绕流流场分析研究
王掩刚, 陈俊旭, 先松川
西北工业大学 动力与能源学院, 陕西 西安 710072
摘要:
以二维方柱低雷诺数绕流为研究对象,在非定常数值模拟结果的基础上,首先应用本征正交分解(proper orthogonal decomposition,POD)方法得到特征区域流场的低阶模型,获取POD基函数及时间系数分布规律;其次以POD的低阶模型为基础,实现了对非定常物理场的重构。研究结果表明:1应用文中的数值分析手段,捕捉到了方柱绕流非定常流动特征,且与公开文献结果吻合较好。2对于文中的研究对象,前4阶POD模态所占波动总能量99.4%,可以用于较准确描述其非定常流场特征;3各阶POD模态的时间系数之间都有明确的频率与相位关系,其中能量最大的第一对POD模态对方柱尾迹流动的波动频率和幅值起决定作用。4在所研究的雷诺数下,前4阶POD模态就可以很好地重构流场,这对以后低阶模型的建立有一定的指导意义。
关键词:    本征正交分解    低阶模型    方柱绕流    非定常   
Analysis of Square Cylinder Unsteady Flow at Low Reynolds Number with POD Method
Wang Yangang, Chen Junxu, Xian Songchuan
Department of Aero-Engines, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
Working on a two-dimensional simulation of flow around a square cylinder at Reynolds number of 100, first we obtained the POD reduced order model of the characteristic region of the flow field, then we acquired the distribution of POD modes and temporal coefficients, and finally we reconstructed the original physical field on the basis of the POD reduced order model. The results and their analysis show preliminary that:(1)according to the nu-merical method applied in this paper, we captured the unsteady flow dynamic characteristics of flow around square cylinder and the results are consistent with literature;(2)for the research object of this paper, the first four POD modes, which accounted for 99?4 percent of total energy fluctuations can describe the characteristics of the unsteady flow field accurately;(3)the time coefficients of each POD mode have definite frequency and phase rela-tionship, and the first pair of POD modes with the biggest energy decide the flow fluctuation frequency and ampli-tude of square cylinder wake;(4)for the research of Reynolds number in this paper, the first four POD modes can reconstruct the flow field very well, providing certain significance for the future establishment of POD reduced order model.
Key words:    computer simulation    drag coefficient    flow fields    mathematical models    numerical methods    Reynolds number    unsteady flow    flow around a square cylinder    proper orthogonal decomposition(POD)    reduced order model   
收稿日期: 2013-09-26     修回日期:
DOI:
基金项目: 国家自然科学基金(51376150)资助
通讯作者:     Email:
作者简介: 王掩刚(1976-),西北工业大学教授、博士生导师,主要从事叶轮机气动热力学研究。
相关功能
PDF(419KB) Free
打印本文
把本文推荐给朋友
作者相关文章
王掩刚  在本刊中的所有文章
陈俊旭  在本刊中的所有文章
先松川  在本刊中的所有文章

参考文献:
[1] Favier J, Cordier L, Kourta A. Accurate POD Reduced-Order Models of Separated Flows[J]. Physics of Fluids, 2007, 8(3):259-265
[2] Siegel S, Cohen K, Seidel J, et al. Short Time Proper Orthogonal Decomposition for State Estimation of Transient Flow Fields [C] ∥43rd AIAA Airspace Sciences Meeting and Exhibit, 2005: 296
[3] Van Oudheusden B W, Scarano F, Van Hinsberg N P, et al. Phase-Resolved Characterization of Vortex Shedding in the Near Wake of a Square-Section Cylinder at Incidence[J]. Experiments in Fluids, 2005, 39(1): 86-98
[4] 张震宇. 风力机翼型动态失速的 POD 模型降阶方法[J]. 南京航空航天大学学报, 2011, 43(5): 577-580 Zhang Zhenyu. Reduced-Order POD Model for Dynamic Stall of Wind Turbine Airfoils [J]. Nanjing University of Aeronautics and Astronautics, 2011, 43(5): 577-580 (in Chinese)
[5] 倪振华, 江棹荣, 谢壮宁. 本征正交分解技术及其在预测屋盖风压场中的应用 [J]. 振动工程学报, 2007, 20(1): 1-8 Ni Zhenhua, Jiang Zhaorong, Xie Zhuangning. POD Technique and Its Application to Prediction of Wind Pressure Fields on Roof [J]. Journal of Vibration Engineering, 2007, 20(1): 1-8 (in Chinese)
[6] Lumley J L. The Structure of Inhomogeneous Turbulent Flows. ∥ Atmospheric Turbulence and Radio Wave Propagation[M]. Yaglom AM, Tatarski VI. Nauka, Moscow, 1967: 166-178
[7] Ben Chiekh M, Michard M, Guellouz M S, et al. POD Analysis of Momentumless Trailing Edge Wake Using Synthetic Jet Actuation[J]. Experimental Thermal and Fluid Science, 2012, 46: 89-102
[8] 余化军. 圆柱和方柱绕流及矩形柱涡激振动的二维数值分析[D]. 天津大学, 2012 Yu Huajun. Two Dimensional Numerical Analysis of Flow over a Circular and Square Cylinder and Vortex-Induced Vibration of Rectangular Cylinder[D]. Tianjin: Tianjin University, 2012 (in Chinese)
[9] Singh A P, De A K, Carpenter V K, et al. Flow Past a Transversely Oscillating Square Cylinder in Free Stream at Low Reynolds Numbers[J]. International Journal for Numerical Methods in Fluids, 2009, 61 (6): 658-682