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Coupled Ostrovsky equations for internal waves in a shear flow

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posted on 2016-01-28, 11:10 authored by A. Alias, Roger Grimshaw, Karima KhusnutdinovaKarima Khusnutdinova
In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid in the presence of shear flow are investigated both analytically, using techniques from asymptotic perturbation theory, and through numerical simulations. The dispersion relation of the system, based on a three-layer model of a stratified shear flow, reveals various dynamical behaviours, including the existence of unsteady and steady envelope wave packets. C 2014 AIP Publishing LLC.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

PHYSICS OF FLUIDS

Volume

26

Issue

12

Pages

? - ? (30)

Citation

ALIAS, A., GRIMSHAW, R.H.J. and KHUSNUTDINOVA, K.R., 2014. Coupled Ostrovsky equations for internal waves in a shear flow. Physics of Fluids, 26, 126603.

Publisher

© American Institute of Physics

Version

  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2014

Notes

Reprinted with permission from ALIAS, A., GRIMSHAW, R.H.J. and KHUSNUTDINOVA, K.R., 2014. Coupled Ostrovsky equations for internal waves in a shear flow. Physics of Fluids, 26, 126603.. Copyright 2014, American Institute of Physics.

ISSN

1070-6631

Language

  • en