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The scattering of sound waves by a vortex: numerical simulations and analytical solutions

Colonius, Tim and Lele, Sanjiva K. and Moin, Parviz (1994) The scattering of sound waves by a vortex: numerical simulations and analytical solutions. Journal of Fluid Mechanics, 260 . pp. 271-298. ISSN 0022-1120.

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The scattering of plane sound waves by a vortex is investigated by solving the compressible Navier-Stokes equations numerically, and analytically with asymptotic expansions. Numerical errors associated with discretization and boundary conditions are made small by using high-order-accurate spatial differentiation and time marching schemes along with accurate non-reflecting boundary conditions. The accuracy of computations of flow fields with acoustic waves of amplitude five orders of magnitude smaller than the hydrodynamic fluctuations is directly verified. The properties of the scattered field are examined in detail. The results reveal inadequacies in previous vortex scattering theories when the circulation of the vortex is non-zero and refraction by the slowly decaying vortex flow field is important. Approximate analytical solutions that account for the refraction effect are developed and found to be in good agreement with the computations and experiments.

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Colonius, Tim0000-0003-0326-3909
Alternate Title:The Scattering of Sound Waves by a Vortex -- Numerical Simulations and Analytical Solutions, The Scattering of Sound Waves by a Vortex – Numerical Simulations and Analytical Solutions
Additional Information:© 1994 Cambridge University Press.v Received 4 July 1992; in revised form 13 August 1993; published online 26 April 2006. The authors are indebted to Professor J. B. Keller for suggesting the high-frequency analysis and for his assistance in carrying it out. The authors would also like to thank Dr Cliff Horne for bringing his experiments to their attention and for his helpful discussions, and Dr M. E. Goldstein for his helpful remarks. This work was supported by the Office of Naval Research under contract numbers ONR-N00014-88-K-0592 and ONR-N00014-92-J-1626. The computer time was provided by NASA-Ames Research Center. Some of this work was presented in AIAA Paper-91-0494.
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Office of Naval Research (ONR)N00014-88-K-0592
Office of Naval Research (ONR)N00014-92-J-1626
Record Number:CaltechAUTHORS:20190726-104729111
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Official Citation:Colonius, Tim, Sanjiva K. Lele, and Parviz Moin. "The Scattering of Sound Waves by a Vortex: Numerical Simulations and Analytical Solutions." Journal of Fluid Mechanics 260 (1994): 271–98. doi:10.1017/S0022112094003514.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97448
Deposited By: Melissa Ray
Deposited On:31 Jul 2019 15:56
Last Modified:03 Oct 2019 21:31

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