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Shear Layer Instability of Flow Around a Circular Cylinder Based on Large Eddy Simulation
Received date: 2019-09-19
Online published: 2021-08-31
The flow around a cylinder is a common research object of fluid mechanics. As the Reynolds number (Re) increases, the Kelvin-Helmholtz instability of the shear layer will occur in the wake behind the cylinder. Using the large eddy simulation method to investigate the problem numerically in a medium range of Re (Re=2000, 3900, 5000), the refined flow field behind the cylinder can be obtained, and an in-depth study of the instability of the shear layer can be conducted. To get the characteristic frequency of the shear layer instability, two methods, i.e., the traditional analysis of monitoring points and the dynamic mode decomposition method on the local flow field, are used. The results show that the frequencies obtained by the two methods are basically the same. However, compared with the traditional method, the dynamic mode decomposition method can overcome the random error caused by the artificial selection of monitoring points, and can give the characteristic frequency of shear layer instability more conveniently. In addition, it can further analyze the influence of different Re values on the instability characteristics of the shear layer based on different flow field modes.
GUO Zhiyuan, YU Peixiang, OUYANG Hua . Shear Layer Instability of Flow Around a Circular Cylinder Based on Large Eddy Simulation[J]. Journal of Shanghai Jiaotong University, 2021 , 55(8) : 924 -933 . DOI: 10.16183/j.cnki.jsjtu.2019.266
[1] | 胡如云, 王亮, 符松. 后台阶流动及其控制述评[J]. 中国科学: 物理学力学天文学, 2015, 45(12):124704. |
[1] | HU Ruyun, WANG Liang, FU Song. Review of backward-facing step flow and separation reduction[J]. Sci Sin-Phys Mech Astron, 2015, 45(12):124704. |
[2] | 艾国远, 叶建. 低雷诺数下翼型不同分离流态的大涡模拟[J]. 空气动力学学报, 2017, 35(2):299-304. |
[2] | AI Guoyuan, YE Jian. Large eddy simulation of different flow separation patterns of airfoil at low Reynolds number[J]. Acta Aerodynamica Sinica, 2017, 35(2):299-304. |
[3] | 姚丹, 田杰, 欧阳华, 等. 压气机旋转不稳定性的周向模态特性及其分解方法[J]. 航空动力学报, 2018, 33(2):431-439. |
[3] | YAO Dan, TIAN Jie, OUYANG Hua, et al. Circumferential mode characteristic of rotating instability and its decomposition method of compressor[J]. Journal of Aerospace Power, 2018, 33(2):431-439. |
[4] | LEHMKUHL O, RODRÍGUEZ I, BORRELL R, et al. Low-frequency unsteadiness in the vortex formation region of a circular cylinder[J]. Physics of Fluids, 2013, 25(8):085109. |
[5] | PRASAD A, WILLIAMSON C H K. The instability of the shear layer separating from a bluff body[J]. Journal of Fluid Mechanics, 1997, 333:375-402. |
[6] | DONG S, KARNIADAKIS G E, EKMEKCI A, et al. A combined direct numerical simulation—Particle image velocimetry study of the turbulent near wake[J]. Journal of Fluid Mechanics, 2006, 569:185-207. |
[7] | ALJURE D E, LEHMKHUL O, RODRÍGUEZ I, et al. Three dimensionality in the wake of the flow around a circular cylinder at Reynolds number 5000[J]. Computers & Fluids, 2017, 147:102-118. |
[8] | LYSENKO D A, ERTESVAG I S, RIAN K E. Large-eddy simulation of the flow over a circular cylinder at Reynolds number 3900 using the OpenFOAM toolbox[J]. Flow, Turbulence and Combustion, 2012, 89(4):491-518. |
[9] | TAIRA K, BRUNTON S L, DAWSON S T M, et al. Modal analysis of fluid flows: An overview[J]. AIAA Journal, 2017, 55(12):4013-4041. |
[10] | 寇家庆, 张伟伟. 动力学模态分解及其在流体力学中的应用[J]. 空气动力学学报, 2018, 36(2):163-179. |
[10] | KOU Jiaqing, ZHANG Weiwei. Dynamic mode decomposition and its application in fluid dynamics[J]. Acta Aerodynamica Sinica, 2018, 36(2):163-179. |
[11] | KOU J Q, ZHANG W W. An improved criterion to select dominant modes from dynamic mode decomposition[J]. European Journal of Mechanics—B/Fluids, 2017, 62:109-129. |
[12] | HEMATI M S, WILLIAMS M O, ROWLEY C W. Dynamic mode decomposition for large and streaming datasets[J]. Physics of Fluids, 2014, 26(11):5-28. |
[13] | ZHANG Q S, LIU Y Z, WANG S F. The identification of coherent structures using proper orthogonal decomposition and dynamic mode decomposition[J]. Journal of Fluids and Structures, 2014, 49:53-72. |
[14] | WANG L, FENG L H. Extraction and reconstruction of individual vortex-shedding mode from bistable flow[J]. AIAA Journal, 2017, 55(7):1-13. |
[15] | TISSOT G, CORDIER L, BENARD N, et al. Model reduction using dynamic mode decomposition[J]. Comptes Rendus Mécanique, 2014, 342(6/7):410-416. |
[16] | NOACK B R, STANKIEWICZ W, MORZYNSKI M, et al. Recursive dynamic mode decomposition of transient and post-transient wake flows[J]. Journal of Fluid Mechanics, 2016, 809:843-872. |
[17] | NICOUD F, DUCROS F. Subgrid-scale stress modelling based on the square of the velocity gradient tensor[J]. Flow, Turbulence and Combustion, 1999, 62(3):183-200. |
[18] | RODRÍGUEZ I, LEHMKUHL O, CHIVA J, et al. On the flow past a circular cylinder from critical to super-critical Reynolds numbers: Wake topology and vortex shedding[J]. International Journal of Heat and Fluid Flow, 2015, 55:91-103. |
[19] | 端木玉, 万德成. 雷诺数为3900时三维圆柱绕流的大涡模拟[J]. 海洋工程, 2016, 34(6):11-20. |
[19] | DUANMU Yu, WAN Decheng. Large eddy simulation of the three-dimensional flow past a cylinder at Re=3900[J]. The Ocean Engineering, 2016, 34(6):11-20. |
[20] | LUO D, YAN C, LIU H, et al. Comparative assessment of PANS and DES for simulation of flow past a circular cylinder[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2014, 134:65-77. |
[21] | PARNAUDEAU P, CARLIER J, HEITZ D, et al. Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900[J]. Physics of Fluids, 2008, 20(8):085101. |
[22] | RAJANI B N, KANDASAMY A, MAJUMDAR S. LES of flow past circular cylinder at Re=3900[J]. Journal of Applied Fluid Mechanics, 2016, 9(3):1421-1435. |
[23] | MA X, KARAMANOS G S, KARNIADAKIS G E. Dynamics and low-dimensionality of a turbulent near wake[J]. Journal of Fluid Mechanics, 2000, 410:29-65. |
[24] | 叶坤, 武洁, 叶正寅, 等. 动力学模态分解和本征正交分解对圆柱绕流稳定性的分析[J]. 西北工业大学学报, 2017, 35(4):599-607. |
[24] | YE Kun, WU Jie, YE Zhengyin, et al. Analyst of stability of flow past a cylinder using dynamic mode decomposition and proper orthogonal decomposition[J]. Journal of Northwestern Polytechnical University, 2017, 35(4):599-607. |
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