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Coupled Ostrovsky equations for internal waves in a shear flow
journal contribution
posted on 2016-01-28, 11:10 authored by A. Alias, Roger Grimshaw, Karima KhusnutdinovaKarima KhusnutdinovaIn 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 FLUIDSVolume
26Issue
12Pages
? - ? (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 PhysicsVersion
- 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
2014Notes
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
1070-6631Publisher version
Language
- en