Abstract
The fully 3D turbulent incompressible flow around a cylinder and in its wake at a Reynolds number Re = = 9×104 based on the cylinder diameter and Mach number M = 0.1 is calculated using Large Eddy Simulations (LES). Encouraging results are found in comparison to experimental data for the fluctuating lift and drag forces. The acoustic pressure in far-field is commutated through the surface integral formulation of the Ffowcs Williams and Hawkings (FWH) equation in acoustic analogy. Five different sound sources, the cylinder wall and four permeable surfaces in the flow fields, are employed. The spectra of the sound pressure are generally in quantitative agreement with the measured one though the acoustic sources are pseudo-sound regarding the incompressible flow simulation. The acoustic component at the Strouhal number related to vortex shedding has been predicted accurately. For the broad band sound, the permeable surfaces in the near wake region give qualitative enough accuracy level of predictions, while the cylinder wall surface shows a noticeable under-prediction. The sound radiation of the volumetric sources based on Lighthill tensors at vortex shedding is also studied. Its far-field directivity is of lateral quadrupoles with the weak radiations in the flow and cross-flow directions.
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B.M. Sumer and J. Fredsoe, Hydrodynamics Around Cylindrical Structures, World Scientific Publishing Co. Pte. Ltd., Singapore, 2006.
C. Norberg, Fluctuating lift on a circular cylinder: review and new measurements, J. Fluids and Structures, 2003, Vol.17, No. 1, P. 57–96.
O. Lehmkuhl, I. Rodríguez, R. Borrell, and A. Oliva, Low–frequency unsteadiness in the vortex formation regi–on of a circular cylinder, Phys. Fluids, 2013, vol. 25, no. 8, p. 085109–1–085109–21.
C. Wagner, P. Sagaut, and T. Hüttl, Large–eddy Simulation for Acoustics: Introduction, Cambridge University Press, London, 2012.
M. Wang, J. Freund, and S. Lele, Computational prediction of flow–generated sound, Annu. Rev. Fluid Mech., 2006. Vol. 38, No. 1, P. 483–512.
O. Inoue and N. Hatakeyama, Sound generation by a two–dimensional circular cylinder in a uniform flow, J. Fluid Mech., 2002, vol. 471, p. 285–314.
B. Müller, High order numerical simulation of aeolian tones, Comp. & Fluids, 2008, vol. 37, no. 4, p. 450–462.
M. Lighthill, On sound generated aerodynamically. I. General theory, Proc. Roy. Soc. London. Series A, Mathe–matical and Physical Sci., 1952, vol. 211, no. 1107, p. 564–587.
N. Curle, The influence of solid boundaries upon aerodynamic sound, Proc. Roy. Soc. London. Series A, Mathematical and Physical Sci., 1955, vol. 231, no. 1187, p. 505–514.
J.F. Williams and D. Hawkings, Sound generation by turbulence and surfaces in arbitrary motion, Proc Roy. Soc. London. Series A, Mathematical and Physical Sci., 1969, vol. 264, no. 1151, p. 321–342.
F. Farassat, Derivation of formulations 1 and 1A of farassat, NASA TM–2007–214853, NASA Langley Research Center, Washington, DC, 2007.
J. Larsson, Computational aero acoustics for vehicle applications, Dept. Thermo and Fluid Dynamics, Chalmers University of Technology, Licentiate, 2002.
F. Margnat, Hybrid prediction of the aerodynamic noise radiated by a rectangular cylinder at incidence, Comp. & Fluids, 2015, vol. 109, p. 13–26.
M. Weinmann, R.D. Sandberg, and C. Doolan. Tandem cylinder flow and noise predictions using a hybrid RANS/LES approach // Int. J. of Heat and Fluid Flow. 2014. Vol. 50. P. 263–278.
J.S. Cox, K.S. Brentner, and C.L. Rumsey, Computation of vortex shedding and radiated sound for a circular cylinder: subcritical to transcritical Reynolds numbers, Theoret. Comput. Fluid Dynamics, 1998, vol. 12, no. 4, p. 233–253.
D. Casalino and M. Jacob, Prediction of aerodynamic sound from circular rods via spanwise statistical modelling, J. Sound and Vibration, 2003, vol. 262, no. 4, p. 815–844.
C.J. Doolan, Computational bluff body aerodynamic noise prediction using a statistical approach, Appl. Acoustics, 2010, vol. 71, no. 12, p. 1194–1203.
J. Boudet, D. Casalino, M. Jacob, and P. Ferrand, Prediction of sound radiated by a rod using large eddy simulation, in: 9th AIAA/CEAS Aeroacoustics Conf. and Exhibit, AIAA 2003, Vol. 11, Iss. 3175/3251, P. 1089–1097.
J.H. Seo and Y.J. Moon, Aerodynamic noise prediction for long–span bodies, J. Sound and Vibration, 2007, Vol. 306, No. 3–5, P. 564–579.
O. Reinaldo, M. Julio, and S. Fabio, Two and three–dimensional simulation of sound generated by flow around a circular cylinder, in: 15th AIAA/CEAS Aeroacoustics Conf. (30th AIAA Aeroacoustics Conference), AIAA, 2009–1097.
L. Guo, X. Zhang, and G. He, Large–eddy simulation of circular cylinder flow at subcritical Reynolds number: turbulent wake and sound radiation, Acta Mechanica Sinica, 2016, vol. 32, no. 1, p. 1–11.
W.–S. Choi, Y. Choi, S.–Y. Hong, J.–H. Song, H.–W. Kwon, and C.–M. Jung, Turbulence–induced noise of a submerged cylinder using a permeable FW–H method, Int. J. Naval Architecture and Ocean Engng, 2016, vol. 8, no. 3, p. 235–242.
J.D. Revell, R.A. Prydz, A.P. Hays, Experimental study of aerodynamic noise vs drag relationships for circular cylinders, AIAA J., 1978, Vol.16, No.9, p. 889–897.
H.K. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics the Finite Volute Method. 2nd ed., Pearson Education Limited, Essex, 2007.
S. Kim, P.A. Wilson, and Z.–M. Chen, Effect of turbulence modelling on 3D LES of transitional flow behind a circular cylinder, Ocean Engng, 2015, vol. 100, no. 5, p. 19–25.
X. Gloerfelt, F. Pérot, C. Bailly, and D. Juvé, Flow–induced cylinder noise formulated as a diffraction problem for low Mach numbers, J. Sound and Vibration, 2005, Vol. 287, No. 1–2, P. 129–151.
C.J. Doolan, Large eddy simulation of the near wake of a circular cylinder at sub–critical Reynolds number, Engng Applications of Computational Fluid Mechanics, 2010, vol. 4, no. 4, p. 496–510.
A.H. Lee, R.L. Campbell, and S.A. Hambric, Coupled delayed–detached–eddy simulation and structural vibra–tion of a self–oscillating cylinder due to vortex–shedding, J. Fluids and Structures, 2014, vol. 48, no. 7, p. 216–234.
M.H. Kazeminezhad, A. Yeganeh–Bakhtiary, and A. Etemad–Shahidi, Numerical investigation of boundary layer effects on vortex shedding frequency and forces acting upon marine pipeline, Appl. Ocean Research, 2010, vol. 32, no. 4, p. 460–470.
S.E. Kim, Large eddy simulation of turbulent flow past a circular cylinder in subcritical regime, in: 44th AIAA Aerospace Sci. Meeting and Exhibit, Reno, Nevada, AIAA 2006–1418.
E. Achenbach, Distribution of local pressure and skin friction around a circular cylinder in cross–flow up to Re = 5·106, J. Fluid Mech., 1968, vol. 34, no. 4, p. 625–639.
U.u.O. Ünal, M. Atlar, and Ö. Gören, Effect of turbulence modelling on the computation of the near–wake flow of a circular cylinder, Ocean Engng, 2010, vol. 37, no. 4, p. 387–399.
R.D. Blevins, Flow–induced Vibration. 2nd ed., Van Nostrand Reinhold Company, Inc., N.Y., 1990.
C. Lei, L. Cheng, and K. Kavanagh, Re–examination of the effect of a plane boundary on force and vortex shedding of a circular cylinder, J. Wind Engng and Industrial Aerodynamics, 1999, vol. 80, no. 3, p. 263–286.
J. Jeong and F. Hussain, On the identification of a vortex, J. Fluid Mech., 1995, vol. 285, p. 69–94.
ANSYS Inc., ANSYS Fluent 16.1 Theory Guide Chapter 15. Aerodynamically Generated Noise, 2015.
S. Ianniello, Quadrupole noise predictions through the Ffowcs Williams–Hawkings equation, AIAA J., 1999, vol. 37, no. 9, p. 1048–1054.
M. Wang, S. Lele, and P. Moin, Computation of quadrupole noise using acoustic analogy, AIAA J., 1996, vol. 34, no. 11, p. 2247–2254.
K.S. Brentner and P.C. Holland, An efficient and robust method for computing quadrupole noise, J. Amer. Helicopter Soc., 1997, vol. 42, no. 2, p. 172–181.
K. Chisachi, I. Akiyoshi, T. Yasushi, F. Hajime, and I. Masahiro, Numerical prediction of aerodynamic noise radiated from low Mach number turbulent wake, in: 31st Aerospace Sci. Meeting, AIAA, 1993–145.
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The authors are grateful for the financial support of the National Natural Science Foundation of China (Grant No. 51306163), the Zhejiang Provincial Natural Science Foundation of China (Grants Nos. LY18E060006 and LQ13E060001), and the CRC for Infrastructure Engineering Asset Management (CIEAM) of Australia.
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Cai, JC., Pan, J., Kryzhanovskyi, A. et al. A numerical study of transient flow around a cylinder and aerodynamic sound radiation. Thermophys. Aeromech. 25, 331–346 (2018). https://doi.org/10.1134/S0869864318030022
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DOI: https://doi.org/10.1134/S0869864318030022