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New model for acoustic waves propagating through a vortical flow

Published online by Cambridge University Press:  23 June 2017

Jim Thomas Open the ORCID record for Jim Thomas [Opens in a new window]
Jim Thomas*
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA
*
†Email address for correspondence: jthomas@cims.nyu.edu
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Abstract

A new amplitude equation is derived for high-frequency acoustic waves propagating through an incompressible vortical flow using multi-time-scale asymptotic analysis. The reduced model is derived without an explicit spatial-scale separation ansatz between the wave and vortical fields. As a consequence, the model is seen to capture very well the features of the wave field in the regime where the spatial scales of the wave and vortical fields are comparable, a regime for which an optimal reduced model does not seem to be available.

JFM classification

Acoustics: Acoustics Compressible Flows: Compressible Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 823 , 25 July 2017 , pp. 658 - 674
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Copyright
© 2017 Cambridge University Press 

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