Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications
Name
1906.07844.pdf
Description
Submitted version
Size
791.1 KB
Format
Adobe PDF
Checksum (MD5)
0614225e2efbe5a5b928d2959bbf93ac
Author(s)
Boury, S.
Odier, P.
Peacock, Thomas
Date Issued
January 2020
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Citation
Boury, S. et al. "Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications." Journal of Fluid Mechanics 886 (January 2020): A8 © 2020 The Author(s)
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1017/jfm.2019.1024
