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Influence of upstream turbulence on flow past a confined circular cylinder
Phys. Rev. Fluids 11, 064602 – Published 1 June, 2026
DOI: https://doi.org/10.1103/grbb-q47x
Abstract
In this paper, numerical simulations are conducted of flow past a circular cylinder confined symmetrically in a channel. The effects of upstream turbulence on wake properties are studied with upstream conditions assumed to be a canonical turbulent channel flow. Simulations have been conducted at blockages of , 0.5, and 0.7, where blockage is defined as the ratio of cylinder diameter to channel height. It is found for the lowest blockage, , turbulence trips the shear layers separating off the cylinder, forming Kelvin-Helmholtz vortices which rapidly roll-up and form Kármán vortices further downstream. This mechanism prevents merging of Kelvin-Helmholtz vortices, evidenced by a lack of a subharmonic peak in spectra of probes placed in the shear layer. For , acceleration of fluid through the gap between the cylinder and channel wall partially relaminarizes the flow, reducing turbulence. Despite this, the surviving turbulence still trips the cylinder shear layer, causing it to break down. Finally, for , a large change in wake dynamics is found to occur. Relaminarization again occurs through the gap, but is insufficient to suppress all turbulence. Hence, tripping the cylinder shear layer and breaking it down before wake bias could occur. This therefore results in the time- and spanwise-averaged flow being symmetric, unlike its laminar upstream counterpart. Spectral analysis also finds a strong subharmonic peak, indicating merging of Kelvin-Helmholtz vortices for and 0.7.
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References (67)
- M. M. Bernitsas, K. Raghavan, Y. Ben-Simon, and E. M. H. Garcia, VIVACE (Vortex induced vibration aquatic clean energy): A new concept in generation of clean and renewable energy from fluid flow, J. Offshore Mech. Arct. Eng. 130, 041101 (2008).
- C. H. K. Williamson, Vortex dynamics in the cylinder wake, Annu. Rev. Fluid Mech. 28, 477 (1996).
- J. Derakhshandeh and M. M. Alam, A review of bluff body wakes, Ocean Eng. 182, 475 (2019).
- M. S. Bloor, The transition to turbulence in the wake of a circular cylinder, J. Fluid Mech. 19, 290 (2006).
- J. H. Gerrard, The mechanics of the formation region of vortices behind bluff bodies, J. Fluid Mech. 25, 401 (1966).
- M. F. Unal and D. Rockwell, On vortex formation from a cylinder. Part 1. The initial instability, J. Fluid Mech. 190, 491 (1988).
- A. Prasad and C. H. K. Williamson, The instability of the shear layer separating from a bluff body, J. Fluid Mech. 333, 375 (1997).
- O. M. Griffin and M. S. Hall, Review—Vortex shedding lock-on and flow control in bluff body wakes, J. Fluids Eng. 113, 526 (1991).
- E. Konstantinidis and C. Liang, Dynamic response of a turbulent cylinder wake to sinusoidal inflow perturbations across the vortex lock-on range, Phys. Fluids 23, 075102 (2011).
- J. H. Gerrard, A disturbance-sensitive Reynolds number range of the flow past a circular cylinder, J. Fluid Mech. 22, 187 (1965).
- T. Maekawa and S. Mizuno, Flow around the separation point and in the near‐Wake of a circular cylinder, Phys. Fluids 10, S184 (1967).
- J. A. Peterka and P. D. Richardson, Effects of sound on separated flows, J. Fluid Mech. 37, 265 (1969).
- C. Chyu and D. Rockwell, Evolution of patterns of streamwise vorticity in the turbulent near wake of a circular cylinder, J. Fluid Mech. 320, 117 (1996).
- P. Bearman and T. Morel, Effect of free stream turbulence on the flow around bluff bodies, Prog. Aerosp. Sci. 20, 97 (1983).
- D. A. Lysenko, Free stream turbulence intensity effects on the flow over a circular cylinder at Re = 3900: Bifurcation, attractors and Lyapunov metric, Ocean Eng. 287, 115787 (2023).
- L. Chan, A. Skvortsov, and A. Ooi, Turbulent flow over a mounted fence confined in a channel, in Proceedings of the 22nd Australasian Fluid Mechanics Conference AFMC2020, edited by H. Chanson and R. Brown (The University of Queensland, Brisbane, 2020).
- K. S. Kankanwadi and O. R. H. Buxton, Influence of freestream turbulence on the near-field growth of a turbulent cylinder wake: Turbulent entrainment and wake meandering, Phys. Rev. Fluids 8, 034603 (2023).
- C. Norberg, Interaction between freestream turbulence and vortex shedding for a single tube in cross-flow, J. Wind Eng. Ind. Aerodyn. 23, 501 (1986).
- I. Khabbouchi, H. Fellouah, M. Ferchichi, and M. S. Guellouz, Effects of free-stream turbulence and Reynolds number on the separated shear layer from a circular cylinder, J. Wind Eng. Ind. Aerodyn. 135, 46 (2014).
- A. K. Soti and A. De, Vortex-induced vibrations of a confined circular cylinder for efficient flow power extraction, Phys. Fluids 32, 033603 (2020).
- P. Zhang, Z. Li, T. Pan, L. Du, Q. Li, and J. Zhang, Experimental study on the lock-in of an oscillating circular cylinder confined in a plane channel, Exp. Therm Fluid Sci. 124, 110348 (2021).
- J. Lin and H.-D. Yao, Modified Magnus effect and vortex modes of rotating cylinder due to interaction with free surface in two-phase flow, Phys. Fluids 35, 123614 (2023).
- M. Sahin and R. G. Owens, A numerical investigation of wall effects up to high blockage ratios on two-dimensional flow past a confined circular cylinder, Phys. Fluids 16, 1305 (2004).
- N. Kanaris, D. Grigoriadis, and S. Kassinos, Three dimensional flow around a circular cylinder confined in a plane channel, Phys. Fluids 23, 064106 (2011).
- A. Ooi, L. Chan, D. Aljubaili, C. Mamon, J. Leontini, A. Skvortsov, P. Mathupriya, and H. Hasini, Some new characteristics of the confined flow over circular cylinders at low Reynolds numbers, Int. J. Heat Fluid Flow 86, 108741 (2020).
- Q. D. Nguyen and C. Lei, Hydrodynamic characteristics of a confined circular cylinder in cross-flows, Ocean Eng. 221, 108567 (2021).
- Q. D. Nguyen and C. Lei, A particle image velocimetry measurement of flow over a highly confined circular cylinder at 60% blockage ratio, Phys. Fluids 33, 104111 (2021).
- A. Ooi, W. Lu, L. Chan, Y. Cao, J. Leontini, and A. Skvortsov, Turbulent flow over a cylinder confined in a channel at Re = 3,900, Int. J. Heat Fluid Flow 96, 108982 (2022).
- W. Lu, D. Aljubaili, T. Zahtila, L. Chan, and A. Ooi, Asymmetric wakes in flows past circular cylinders confined in channels, J. Fluid Mech. 958, A8 (2023).
- W. Lu, Q. D. Nguyen, L. Chan, C. Lei, and A. Ooi, Flows past cylinders confined within ducts. Effects of the duct width, Int. J. Heat Fluid Flow 104, 109208 (2023).
- Q. D. Nguyen and C. Lei, A PIV study of blockage ratio effects on flow over a confined circular cylinder at low Reynolds numbers, Exp. Fluids 64, 10 (2023).
- W. Lu, L. Chan, and A. Ooi, Spectral analysis of confined cylinder wakes, Fluids 10, 84 (2025).
- W. Lu, T. Zahtila, L. Chan, Q. D. Nguyen, C. Lei, G. Iaccarino, and A. Ooi, Modeling of uncertainties from spanwise asymmetries in upstream conditions and measurement plane location for flow past a circular cylinder confined within a duct, Phys. Rev. Fluids 10, 064601 (2025).
- Q. D. Nguyen, W. Lu, L. Chan, A. Ooi, and C. Lei, A state-of-the-art review of flows past confined circular cylinders, Phys. Fluids 35, 071301 (2023).
- M. Hiwada and I. Mabuchi, Flow behavior and heat transfer around a circular cylinder at high blockage ratios, Heat Transf. Japan. Res. 10, 17 (1982).
- Q. D. Nguyen and C. Lei, Resonance in the flow past a highly confined circular cylinder, Phys. Fluids 34, 084110 (2022).
- P. Fischer, S. Kerkemeier, M. Min, Y.-H. Lan, M. Phillips, T. Rathnayake, E. Merzari, A. Tomboulides, A. Karakus, N. Chalmers, and T. Warburton, NekRS, a GPU-accelerated spectral element Navier–Stokes solver, Parallel Comput. 114, 102982 (2022).
- T. Zahtila, L. Chan, A. Ooi, and J. Philip, Particle transport in a turbulent pipe flow: Direct numerical simulations, phenomenological modelling and physical mechanisms, J. Fluid Mech. 957, A1 (2023).
- T. Zahtila, L. Chan, A. Ooi, K. Liu, M. Benjamin, and G. Iaccarino, Influence of Miura-origami shapes on drag in turbulent flows, in Center for Turbulence Research Proceedings of the Summer Programme (Stanford University, Center for Turbulence Research, Stanford, CA, 2022).
- W. Lu, A. Ooi, L. Thomas, T. Zahtila, and G. Iaccarino, Application of multi-fidelity methods to prediction of gravity currents for uncertainty quantification, in Proceedings of the 2024 Center for Turbulence Research Summer Program (Stanford University, Center for Turbulence Research, Stanford, CA, 2024).
- P. F. Fischer, J. W. Lottes, and S. G. Kerkemeier, Nek5000 web page, https://nek5000.mcs.anl.gov/.
- A. Roccon, G. Amati, L. Brandt, D. Calhoun, P. Costa, W. Lu, S. Pirozzoli, D. Richter, M. Umair, D. You, T. Zahtila, and C. Marchioli, GPU-accelerated simulations of turbulence: Review of current applications and future perspectives, Phys. Rev. Fluids 11, 034905 (2026).
- Y. Maday, A. T. Patera, and E. M. Rønquist, An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow, J. Sci. Comput. 5, 263 (1990).
- T. Zahtila, W. Lu, L. Chan, and A. Ooi, A systematic study of the grid requirements for a spectral element method solver, Computers Fluids 251, 105745 (2023).
- S. Dong, G. Karniadakis, and C. Chryssostomidis, A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains, J. Comput. Phys. 261, 83 (2014).
- T. S. Lund, X. Wu, and K. D. Squires, Generation of turbulent inflow data for spatially-developing boundary layer simulations, J. Comput. Phys. 140, 233 (1998).
- A. H. Herbst, P. Schlatter, and D. S. Henningson, Simulations of turbulent flow in a plane asymmetric diffuser, Flow, Turbul. Combust. 79, 275 (2007).
- P. Schlatter and R. Örlü, Turbulent boundary layers at moderate Reynolds numbers: Inflow length and tripping effects, J. Fluid Mech. 710, 5 (2012).
- R. B. Dean, Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow, J. Fluids Eng. 100, 215 (1978).
- B. Song, H. Ping, H. Zhu, D. Zhou, Y. Bao, Y. Cao, and Z. Han, Direct numerical simulation of flow over a cylinder immersed in the grid-generated turbulence, Phys. Fluids 34, 015109 (2022).
- D. Aljubaili, L. Chan, W. Lu, and A. Ooi, Numerical investigations of the wake behind a confined flat plate, Int. J. Heat Fluid Flow 94, 108924 (2022).
- E. Achenbach, Distribution of local pressure and skin friction around a circular cylinder in cross-flow up to Re = 5 × , J. Fluid Mech. 34, 625 (1968).
- M. C. Thompson and K. Hourigan, The shear-layer instability of a circular cylinder wake, Phys. Fluids 17, 021702 (2005).
- I. Afgan, Y. Kahil, S. Benhamadouche, and P. Sagaut, Large eddy simulation of the flow around single and two side-by-side cylinders at subcritical Reynolds numbers, Phys. Fluids 23, 075101 (2011).
- M. Grandemange, M. Gohlke, and O. Cadot, Turbulent wake past a three-dimensional blunt body. Part 1. Global modes and bi-stability, J. Fluid Mech. 722, 51 (2013).
- M. Grandemange, M. Gohlke, and O. Cadot, Bi-stability in the turbulent wake past parallelepiped bodies with various aspect ratios and wall effects, Phys. Fluids 25, 095103 (2013).
- K. He, G. Minelli, J. Wang, T. Dong, G. Gao, and S. Krajnović, Numerical investigation of the wake bi-stability behind a notchback Ahmed body, J. Fluid Mech. 926, A36 (2021).
- L. D. Longa, O. Evstafyeva, and A. S. Morgans, Simulations of the bi-modal wake past three-dimensional blunt bluff bodies, J. Fluid Mech. 866, 791 (2019).
- A. G. Kravchenko and P. Moin, Numerical studies of flow over a circular cylinder at = 3900, Phys. Fluids 12, 403 (2000).
- P. Parnaudeau, J. Carlier, D. Heitz, and E. Lamballais, Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900, Phys. Fluids 20, 085101 (2008).
- K. Sreenivasan, Laminarescent, relaminarizing and retransitional flows, Acta Mech. 44, 1 (1982).
- P. R. Bandyopadhyay and A. Hussain, The coupling between scales in shear flows, Phys. Fluids 27, 2221 (1984).
- R. Mathis, N. Hutchins, and I. Marusic, Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers, J. Fluid Mech. 628, 311 (2009).
- P. A. Monkewitz, The absolute and convective nature of instability in two‐dimensional wakes at low Reynolds numbers, Phys. Fluids 31, 999 (1988).
- S. Rajagopalan and R. A. Antonia, Flow around a circular cylinder—Structure of the near wake shear layer, Exp. Fluids 38, 393 (2005).
- C. Brun, S. Aubrun, T. Goossens, and P. Ravier, Coherent structures and their frequency signature in the separated shear layer on the sides of a square cylinder, Flow Turbul. Combust. 81, 97 (2008).
- P. Moin and K. Mahesh, Direct numerical simulation: A tool in turbulence research, Annu. Rev. Fluid Mech. 30, 539 (1998).