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Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications

Published online by Cambridge University Press:  10 January 2020

S. Boury Open the ORCID record for S. Boury [Opens in a new window] ,
P. Odier  and
T. Peacock
S. Boury*
Affiliation:
Univ Lyon, ENS de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342Lyon, France Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge,MA02139, USA
P. Odier
Affiliation:
Univ Lyon, ENS de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342Lyon, France
T. Peacock
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge,MA02139, USA
*
†Email address for correspondence: samuel.boury@ens-lyon.fr
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Abstract

To date, the influence of nonlinear stratifications and two layer stratifications on internal wave propagation has been studied for two-dimensional wave fields in a Cartesian geometry. Here, we use a novel wave generator configuration to investigate transmission in nonlinear stratifications of an axisymmetric internal wave. We demonstrate that, despite the additional geometric complexity, with associated features such as an inhomogeneous spatial distribution of the energy flux, results for plane waves can be generalised to axisymmetric wave fields. Two configurations are studied, both theoretically and experimentally. In the case of a free incident wave, a transmission maximum is found in the vicinity of evanescent frequencies. In the case of a confined incident wave, resonant effects, in the sense of constructive interference, lead to enhanced transmission rates from an upper layer to a layer below. We consider the oceanographic relevance of these results by applying them to an example oceanic stratification, finding that there can be real-world implications.

JFM classification

Geophysical and Geological Flows: Internal waves Geophysical and Geological Flows: Stratified flows Geophysical and Geological Flows: Ocean processes
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 886 , 10 March 2020 , A8
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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