Abstract
In this paper, the hydrodynamically generated noise by the flow over an open cavity is studied. First, aeroacoustic theories and computational aeroacoustic (CAA) methodologies are reviewed in light of hydrodynamic acoustics, based on which, a hybrid method is presented. In the coupling procedure, the unsteady cavity flow field is computed using large-eddy simulation (LES), while the radiated sound is calculated by the Ffowcs Williams-Hawkings (FW-H) acoustic analogy with acoustic source terms extracted from the time-dependent solutions of the unsteady flow. The hybrid LES-FW-H acoustic analogy method is tested with an open cavity flow at Mach number of 0.006 and Reynolds number of 105. Following the reflection theorem of Powell, the contributions from different source terms are quantified, and the terms involving wall-pressure fluctuations are found to account for most of the radiated intensity. The radiation field is investigated in the frequency domain. For the longitudinal direction, the sound propagates with a dominant radiation downstream the cavity in the near-field and a flatter directivity in the far-field, while for the spanwise direction, the acoustic waves have a similar propagation along +z and −z directions, with no visible directivity.
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References
Rossiter J E. Wind Tunnel Experiments on the Flow over Rectangular Cavities at Subsonic and Transonic Speeds [R]. Aeronautical Research Council, Reports and Memoranda. TR 3438, 1964.
Sarohia V. Experimental investigation of oscillations in flows over shallow cavities[J]. AIAA Journal, 1977, 15(7): 984–991.
Rockwell D, Naudascher E. Review-self-sustaining oscillations of flow past cavities[J]. Journal of Fluids Engineering, 1978, 100(6): 152–165.
Block B J W. Noise Response of Cavities of Varying Dimensions at Subsonic Speed[R]. NASA TN D-8351, 1976.
Gharib M, Roshko A. The effect of flow oscillations on cavity drag[J]. Journal of Fluid Mechanics, 1987, 177(10): 510–530.
Shieh C W, Morris P J. Parallel Computational Aeroacoustic Simulation of Turbulent Subsonic Cavity Flow [EB/OL]. http://pdf. aiaa. org/preview/2000/PV/2000_1914.pdf, 2008-07-30.
Gloerfelt X, Bailly C, Juvé D. Direct computation of the noise radiated by a subsonic cavity flow and application of integral methods[J]. Journal of Sound and Vibration, 2003, 266(1): 119–146.
Roeck W D, Desmet W, Baelmans M et al. On the Predicttion of Near-Field Cavity Flow Noise Using Different CAA Techniques[EB/OL]. http://www. isma-isaac. be/publications/PMA_MOD_publications/ISMA2004/369_388.pdf. 2008-07-30.
Larsson L, Davidson L, Olsson M et al. Acoustic investigation of an open cavity flow at low Mach number[J]. AIAA Journal, 2004, 42(12): 2462–2473.
Wang M, Freund J B, Lele S K. Computational prediction of flow-generated sound[J]. Annual Review of Fluid Mechanic, 2006, 38(1): 483–512.
Christopher K M T. Computational aeroacoustics: Issues and methods[J]. AIAA Journal, 1995, 33(10):1788–1796.
Lighthill M J. On sound generated aerodynamically(I): General theory[J]. Proceedings of the Royal Society of London, 1952, 211A(1107): 564–587.
Powell A. Theory of vortex sound[J]. Acoustic Society of America, 1964, 36(1): 177–195.
Doak P E. Analysis of internally generated sound in continuous materials(2):A critical review of the conceptual adequacy and physical scope of existing theories of aerodynamic noise with special reference to supersonic jet noise[J]. Journal of Sound and Vibration, 1972, 25(2): 263–335.
Hankey W L, Shang J S. Analyses of pressure oscillations in an open cavity[J]. AIAA Journal, 1980, 18(8): 892–898.
Tam C J, Orkwis P D, Disimile P J. Comparison of Baldwin-Lomax turbulence models for two-dimensional open cavity computations[J]. AIAA Journal, 34(3): 629–631.
Slimon S A, Davis D W, Wagner C A. Far-field Aeroacoustic Computation of Unsteady Cavity Flow[R]. AIAA Paper. 1998–0285, 1998.
Ffowcs Williams J E, Hawkings D L. Sound generation by turbulence and surfaces in arbitrary motion[J]. Philosophical Transactions of the Royal Society, 1969, 264A(1151): 321–342.
Powell A. Aerodynamic noise and the plane boundary[J]. Acoustic Society of America, 1960, 32(8): 982–990.
Blake W K. Mechanics of Flow-Induced Sound and Vibration(I): General Concepts and Elementary Sources[M]. Academic Press, New York, 1986.
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Supported by National High Technology Research and Development Program of China(“863” Program, No.2006AA09A312) and National Natural Science Foundation of China(No. 50705063).
GENG Donghan, born in 1981, female, doctorate student.
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Geng, D., Wang, Y. Prediction of hydrodynamic noise of open cavity flow. Trans. Tianjin Univ. 15, 336–342 (2009). https://doi.org/10.1007/s12209-009-0059-5
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DOI: https://doi.org/10.1007/s12209-009-0059-5