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Sound source and pseudo-sound in the near field of a circular cylinder in subsonic conditions

Published online by Cambridge University Press:  01 June 2021

Shuai Li Open the ORCID record for Shuai Li [Opens in a new window] ,
David E. Rival Open the ORCID record for David E. Rival [Opens in a new window]  and
Xiaohua Wu Open the ORCID record for Xiaohua Wu [Opens in a new window]
Shuai Li*
Affiliation:
Department of Mechanical and Materials Engineering, Queen's University, Kingston, ONK7L 2V9, Canada
David E. Rival
Affiliation:
Department of Mechanical and Materials Engineering, Queen's University, Kingston, ONK7L 2V9, Canada
Xiaohua Wu
Affiliation:
Department of Mechanical and Materials Engineering, Queen's University, Kingston, ONK7L 2V9, Canada Department of Mechanical and Aerospace Engineering, Royal Military College of Canada, Kingston, ONK7K 7B4, Canada
*
†Email address for correspondence: [email protected]
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Abstract

It is well known that the pressure fluctuations on both sides of a cylinder and those in its oscillating near-wake region are both sound sources at low Reynolds and Mach numbers. However, assessment of the propagating capacity and quantification of the radiating versus non-radiating components of these two sound sources are not currently available for this important benchmark aeroacoustic problem. Here, we isolate the radiating acoustic sound sources from the non-radiating hydrodynamic pseudo-sounds by applying the wavelet decomposition technique of Mancinelli et al. (J. Fluid Mech., vol. 813, 2017), previously used in subsonic jet-noise experiments, to decompose the cylinder near-field pressure fluctuations obtained from our direct numerical simulations. Rigorous independence and convergence analyses of the wavelet decomposition procedure are performed. It is found that the radiating acoustic component strongly dominates over the non-radiating hydrodynamic component at near-field locations above and upstream of the cylinder. In the oscillating near-wake region, the hydrodynamic component dominates over the acoustic component at most frequencies, except at the vortex shedding frequency where they exhibit comparable strengths. Furthermore, within the oscillating near-wake region, the overall sound pressure level associated with the hydrodynamic pressure fluctuations exceeds that associated with the acoustic pressure fluctuations. Away from the oscillating near-wake region, the hydrodynamic pressure fluctuations decrease dramatically while the acoustic counterparts decay slowly, demonstrating that the hydrodynamic pressure fluctuation does not propagate, and that the acoustic pressure fluctuation is the only component to propagate to the far field.

JFM classification

Acoustics: Aeroacoustics Vortex Flows: Vortex shedding Wakes/Jets: Wakes
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 919 , 25 July 2021 , A43
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Alqash, S., Dhote, S. & Behdinan, K. 2019 Predicting far-field noise generated by a landing gear using multiple two-dimensional simulations. Appl. Sci. 9 (21), 4485.CrossRefGoogle Scholar
Beam, R.M. & Warming, R.F. 1976 An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. J. Comput. Phys. 22 (1), 87–110.CrossRefGoogle Scholar
Bolduc, M. & Bell, A. 2018 Existing aeroacoustic issues of building elements. J. Acoust. Soc. Am. 144 (3), 1859–1859.CrossRefGoogle Scholar
Camussi, R. & Guj, G. 1997 Orthonormal wavelet decomposition of turbulent flows: intermittency and coherent structures. J. Fluid Mech. 348, 177–199.CrossRefGoogle Scholar
Collis, S.S. 1997 A computational investigation of receptivity in high-speed flow near a swept leading-edge. PhD thesis, Stanford University.Google Scholar
Daubechies, I. 1992 Ten Lectures on Wavelets. SIAM.CrossRefGoogle Scholar
Donoho, D.L. & Johnstone, J.M. 1994 Ideal spatial adaptation by wavelet shrinkage. Biometrika 81 (3), 425–455.CrossRefGoogle Scholar
Etkin, B., Korbacher, G.K. & Keefe, R.T. 1957 Acoustic radiation from a stationary cylinder in a fluid stream (aeolian tones). J. Acoust. Soc. Am. 29 (1), 30–36.CrossRefGoogle Scholar
Farge, M. 1992 Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech. 24 (1), 395–458.CrossRefGoogle Scholar
Ffowcs Williams, J.E. 1969 Hydrodynamic noise. Annu. Rev. Fluid Mech. 1 (1), 197–222.CrossRefGoogle Scholar
Fujita, H. 2010 The characteristics of the aeolian tone radiated from two-dimensional cylinders. Fluid Dyn. Res. 42 (1), 015002.CrossRefGoogle Scholar
Gerrard, J.H. 1955 Measurements of the sound from circular cylinders in an air stream. Proc. Phys. Soc. B 68 (7), 453–461.CrossRefGoogle Scholar
Giles, M. 1990 Nonreflecting boundary conditions for euler equation calculations. AIAA J. 28 (12), 2050–2058.CrossRefGoogle Scholar
Gloerfelt, X., Pérot, F., Bailly, C. & Juvé, D. 2005 Flow-induced cylinder noise formulated as a diffraction problem for low mach numbers. J. Sound Vib. 287 (1–2), 129–151.CrossRefGoogle Scholar
Goldstein, M.E. 1976 Aeroacoustics. McGraw-Hill.Google Scholar
Grizzi, S. & Camussi, R. 2012 Wavelet analysis of near-field pressure fluctuations generated by a subsonic jet. J. Fluid Mech. 698, 93–124.CrossRefGoogle Scholar
Grossmann, A. & Morlet, J. 1984 Decomposition of hardy functions into square integrable wavelets of constant shape. SIAM J. Math. Anal. 15 (4), 723–736.CrossRefGoogle Scholar
Hutcheson, F.V. & Brooks, T.F. 2012 Noise radiation from single and multiple rod configurations. Intl J. Aeroacoust. 11 (3–4), 291–333.CrossRefGoogle Scholar
Inoue, O. & Hatakeyama, N. 2002 Sound generation by a two-dimensional circular cylinder in a uniform flow. J. Fluid Mech. 471, 285–314.CrossRefGoogle Scholar
Kerhervé, F., Guitton, A., Jordan, P., Delville, J., Fortuné, V., Gervais, Y. & Tinney, C. 2008 Identifying the dynamics underlying the large-scale and fine-scale jet noise similarity spectra. In 14th AIAA/CEAS Aeroacoustics Conference, p. 3027. American Institute of Aeronautics and Astronautics.CrossRefGoogle Scholar
Khalighi, B., Snegirev, A., Shinder, J., Lupuleac, S. & Chen, K.H. 2012 Simulations of flow and noise generated by automobile outside rear-view mirrors. Intl J. Aeroacoust. 11 (1), 137–156.CrossRefGoogle Scholar
Khalighi, Y., Mani, A., Ham, F. & Moin, P. 2010 Prediction of sound generated by complex flows at low mach numbers. AIAA J. 48 (2), 306–316.CrossRefGoogle Scholar
Kravchenko, A.G. & Moin, P. 2000 Numerical studies of flow over a circular cylinder at $Re_D = 3900$. Phys. Fluids 12 (2), 403–417.CrossRefGoogle Scholar
Lele, S.K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103 (1), 16–42.CrossRefGoogle Scholar
Lysenko, D.A., Ertesvåg, I. & Rian, K. 2014 Towards simulation of far-field aerodynamic sound from a circular cylinder using openfoam. Intl J. Aeroacoust. 13 (1–2), 141–168.CrossRefGoogle Scholar
Mallat, S.G. 1989 A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell. 11 (7), 674–693.CrossRefGoogle Scholar
Mancinelli, M., Pagliaroli, T., Di Marco, A., Camussi, R. & Castelain, T. 2017 Wavelet decomposition of hydrodynamic and acoustic pressures in the near field of the jet. J. Fluid Mech. 813, 716–749.CrossRefGoogle Scholar
Mani, A. 2009 Optical distortions by compressible turbulence. PhD thesis, Stanford University.Google Scholar
Mani, A., Moin, P. & Wang, M. 2009 Computational study of optical distortions by separated shear layers and turbulent wakes. J. Fluid Mech. 625, 273–298.CrossRefGoogle Scholar
Mani, A., Wang, M. & Moin, P. 2008 Resolution requirements for aero-optical simulations. J. Comput. Phys. 227 (21), 9008–9020.CrossRefGoogle Scholar
Meneveau, C. 1991 Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech. 232, 469–520.CrossRefGoogle Scholar
Nagarajan, S., Lele, S.K. & Ferziger, J.H. 2003 A robust high-order compact method for large eddy simulation. J. Comput. Phys. 191 (2), 392–419.CrossRefGoogle Scholar
Oguma, Y., Yamagata, T. & Fujisawa, N. 2013 Measurement of sound source distribution around a circular cylinder in a uniform flow by combined particle image velocimetry and microphone technique. J. Wind Engng Ind. Aerodyn. 118, 1–11.CrossRefGoogle Scholar
Oguma, Y., Yamagata, T. & Fujisawa, N. 2014 Measurement of aerodynamic sound source around a circular cylinder by particle image velocimetry. J. Flow Control. Meas. Vis. 2, 105–109.CrossRefGoogle Scholar
Ong, L. & Wallace, J. 1996 The velocity field of the turbulent very near wake of a circular cylinder. Exp. Fluids 20 (6), 441–453.CrossRefGoogle Scholar
Ribner, H.S. 1962 Aerodynamic sound from fluid dilitations: a theory of the sound from jets and other flows. University of Toronto, Institute of Aerophysics.Google Scholar
Ristorcelli, J.R. 1997 A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence. J. Fluid Mech. 347, 37–70.CrossRefGoogle Scholar
Ruppert-Felsot, J., Farge, M. & Petitjeans, P. 2009 Wavelet tools to study intermittency: application to vortex bursting. J. Fluid Mech. 636, 427–453.CrossRefGoogle Scholar
Sanjose, M., Towne, A., Jaiswal, P., Moreau, S., Lele, S. & Mann, A. 2019 Modal analysis of the laminar boundary layer instability and tonal noise of an airfoil at Reynolds number 150 000. Intl J. Aeroacoust. 18 (2–3), 317–350.CrossRefGoogle Scholar
Schneider, K. & Vasilyev, O.V. 2010 Wavelet methods in computational fluid dynamics. Annu. Rev. Fluid Mech. 42, 473–503.CrossRefGoogle Scholar
Strang, G. & Nguyen, T. 1996 Wavelets and Filter Banks. SIAM.Google Scholar
Suzuki, T. & Colonius, T. 2006 Instability waves in a subsonic round jet detected using a near-field phased microphone array. J. Fluid Mech. 565, 197–226.CrossRefGoogle Scholar
Tamura, A. & Tsutahara, M. 2010 Direct simulation of aeolian tones emitted from a circular cylinder in transonic flows using the finite difference lattice Boltzmann method. Fluid Dyn. Res. 42 (1), 015007.CrossRefGoogle Scholar
Thompson, D.J., Latorre Iglesias, E., Liu, X., Zhu, J. & Hu, Z. 2015 Recent developments in the prediction and control of aerodynamic noise from high-speed trains. Intl J. Rail Transp. 3 (3), 119–150.CrossRefGoogle Scholar
Tinney, C.E. & Jordan, P. 2008 The near pressure field of co-axial subsonic jets. J. Fluid Mech. 611, 175–204.CrossRefGoogle Scholar
Tinney, C.E., Jordan, P., Hall, A.M., Delville, J. & Glauser, M.N. 2007 A time-resolved estimate of the turbulence and sound source mechanisms in a subsonic jet flow. J. Turbul. 8 (7), 1–20.CrossRefGoogle Scholar
Vidakovic, B. 1999 Statistical Modeling by Wavelets. John Wiley and Sons.CrossRefGoogle Scholar
Wang, M., Freund, J.B. & Lele, S.K. 2006 Computational prediction of flow-generated sound. Annu. Rev. Fluid Mech. 38, 483–512.CrossRefGoogle Scholar
Xia, Z., Xiao, Z., Shi, Y. & Chen, S. 2016 Mach number effect of compressible flow around a circular cylinder. AIAA J. 54 (6), 2004–2009.CrossRefGoogle Scholar
Xu, W. & Xu, F. 2018 Numerical study on wind-induced noise of high-rise building curtain wall with outside shading devices. Shock. Vib. 2018, 5840761.Google Scholar
Zdravkovich, M.M. 1997 Flow Around Circular Cylinders; vol. 1: Fundamentals. Oxford University Press.Google Scholar
Zhang, C., Moreau, S. & Sanjosé, M. 2019 a Turbulent flow and noise sources on a circular cylinder in the critical regime. AIP Adv. 9 (8), 085009.Google Scholar
Zhang, C., Sanjose, M. & Moreau, S. 2019 b Aeolian noise of a cylinder in the critical regime. J. Acoust. Soc. Am. 146 (2), 1404–1415.CrossRefGoogle ScholarPubMed