Coupled Ostrovsky equations for internal waves in a shear flow
Pattern Formation and Solitons
2015-06-22 v2 Atmospheric and Oceanic Physics
Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.1407.0939,
title = {Coupled Ostrovsky equations for internal waves in a shear flow},
author = {A. Alias and R. H. J. Grimshaw and K. R. Khusnutdinova},
journal= {arXiv preprint arXiv:1407.0939},
year = {2015}
}
Comments
47 pages, 39 figures, accepted to Physics of Fluids