Large-eddy simulation of the near wake of a 5:1 rectangular cylinder in oscillating flows at Re=670

Abstract In this study, three-dimensional Large-Eddy Simulations (3D LES) are conducted to investigate the near-wake characteristics of a 5:1 rectangular cylinder in oscillating flow. The oscillating flow is generated by introducing a sinusoidal velocity perturbation to the smooth flow at a low Reynolds number. It is observed that the dynamics of the vortices on the upper and lower surfaces are synchronously affected by the oscillating flow, and thus interact with the wake flow. Consequently, the vortex shedding patterns that appear are less regular than those in uniform flow, resulting in a non-synchronous phenomenon between the shedding of the wake vortices and the leading-edge vortices. Interestingly, the complex near-wake dynamics in the oscillating flow are characterized by multiple peaks of the wake velocity in the frequency domain. The energy contributions of each frequency component are studied through POD analysis. The results indicate that the flow structures of Modes 1 and 2 are of Karman vortices which dominate the velocity fluctuations in the wake and exhibit the most prominent peak in the velocity spectra. In contrast, Modes 3 and 4 are controlled by the inflow oscillations. The higher modes result from the interactions between the above two patterns. It is worth noting that the shedding frequency, longitudinal spacing and convective speed of the Karman vortices are synchronously influenced by the inflow frequency and amplitude.

[1]  Stavroula Balabani,et al.  Symmetric vortex shedding in the near wake of a circular cylinder due to streamwise perturbations , 2007 .

[2]  F. H. Barnes,et al.  The effect of a perturbation on the flow over a bluff cylinder , 1986 .

[3]  L. Bruno,et al.  3D flow around a rectangular cylinder: A computational study , 2010 .

[4]  Yasuharu Nakamura,et al.  Experimental and numerical analysis of vortex shedding from elongated rectangular cylinders at low Reynolds numbers 200-103 , 1996 .

[5]  A. Cimarelli,et al.  Direct numerical simulation of the flow around a rectangular cylinder at a moderately high Reynolds number , 2018 .

[6]  H. S. Ribner,et al.  Spectral Theory of Buffeting and Gust Response: Unification and Extension , 1956 .

[7]  Mark C. Thompson,et al.  SELF-SUSTAINED OSCILLATIONS IN FLOWS AROUND LONG BLUNT PLATES , 2001 .

[8]  Parag Deshpande,et al.  Experimental Investigation of Periodic Wind Gust Generated in a Low Speed Wind Tunnel , 2014 .

[9]  Maria Vittoria Salvetti,et al.  Stochastic analysis of the impact of freestream conditions on the aerodynamics of a rectangular 5:1 cylinder , 2016 .

[10]  Stefano Berrone,et al.  Numerical simulation of low-Reynolds number flows past rectangular cylinders based on adaptive finite element and finite volume methods , 2011 .

[11]  T. Tamura,et al.  Numerical prediction of unsteady pressures on a square cylinder with various corner shapes , 1998 .

[12]  D. Favier,et al.  Vortex shedding and lock-on of a circular cylinder in oscillatory flow , 1986, Journal of Fluid Mechanics.

[13]  Francesco Ricciardelli,et al.  Benchmark on the Aerodynamics of a Rectangular 5:1 Cylinder: An overview after the first four years of activity , 2014 .

[14]  A. Cimarelli,et al.  On the structure of the self-sustaining cycle in separating and reattaching flows , 2018, Journal of Fluid Mechanics.

[15]  Hamid Naderan,et al.  A numerical study of flow past a cylinder with cross flow and inline oscillation , 2006 .

[16]  Michael Yianneskis,et al.  The effect of flow perturbations on the near wake characteristics of a circular cylinder , 2003 .

[17]  Owen M. Griffin,et al.  Vortex shedding from a cylinder vibrating in line with an incident uniform flow , 1976, Journal of Fluid Mechanics.

[18]  Shaopeng Li,et al.  Experimental investigation on the unsteady lift of an airfoil in a sinusoidal streamwise gust , 2017 .

[19]  Yasuharu Nakamura,et al.  Vortex excitation of prisms with elongated rectangular, H and [vdash ] cross-sections , 1986, Journal of Fluid Mechanics.

[20]  Yasuharu Nakamura,et al.  A numerical study of vortex shedding from flat plates with square leading and trailing edges , 1992, Journal of Fluid Mechanics.

[21]  S. Cao,et al.  Numerical study of flow over a circular cylinder in oscillatory flows with zero-mean and non-zero-mean velocities , 2015 .

[22]  Maria Vittoria Salvetti,et al.  Stochastic sensitivity analysis of large-eddy simulation predictions of the flow around a 5:1 rectangular cylinder , 2017 .

[23]  O. Griffin,et al.  Vortex Shedding and Lock-On in a Perturbed Flow , 1993 .

[24]  F. H. Barnes,et al.  A comparison of the structure of the wake behind a circular cylinder in a steady flow with that in a perturbed flow , 1987 .

[25]  Lin Zhao,et al.  Investigations of aerodynamic effects on streamlined box girder using two-dimensional actively-controlled oncoming flow , 2013 .

[26]  Yuji Matsuda,et al.  Turbulence control in multiple-fan wind tunnels , 1997 .

[27]  Emanuele Zappa,et al.  Complex aerodynamic admittance function role in buffeting response of a bridge deck , 2001 .

[28]  Y. Tanida,et al.  Stability of a circular cylinder oscillating in uniform flow or in a wake , 1973, Journal of Fluid Mechanics.

[29]  Xiaotao Zheng,et al.  Effect on the flow and heat transfer characteristics for sinusoidal pulsating laminar flow in a heated square cylinder , 2014 .

[30]  P. Anagnostopoulos,et al.  Viscous oscillatory flow around a circular cylinder at low Keulegan-Carpenter numbers and frequency parameters , 1998 .

[31]  Hanfeng Wang,et al.  POD analysis of a finite-length cylinder near wake , 2014 .

[32]  Luca Bruno,et al.  Large-eddy simulations of a Benchmark on the Aerodynamics of a Rectangular 5:1 Cylinder , 2011 .

[33]  Aziz Hamdouni,et al.  Numerical simulation of an oscillating cylinder in a cross-flow at low Reynolds number: Forced and free oscillations , 2009 .

[34]  M. Braza,et al.  Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder , 1986, Journal of Fluid Mechanics.

[35]  Akira Nishi,et al.  Reproduction of wind velocity history in a multiple fan wind tunnel , 2001 .

[36]  Owen M. Griffin,et al.  Review : vortex shedding lock-on and flow control in bluff body wakes , 1991 .

[37]  Two-dimensional and three-dimensional simulations of oscillatory flow around a circular cylinder , 2015 .

[38]  Gianni Bartoli,et al.  The effects of free-stream turbulence and angle of attack on the aerodynamics of a cylinder with rectangular 5:1 cross section , 2017 .

[39]  A. Nishi,et al.  Active control of turbulence for an atmospheric boundary layer model in a wind tunnel , 1999 .