Coupled Ostrovsky equations for internal waves in a shear flow

Autor:	Alias, A., Grimshaw, R. H. J., Khusnutdinova, K. R.
Rok vydání:	2014
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Physics - Atmospheric and Oceanic Physics Physics - Fluid Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1063/1.4903279
Popis:	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. Comment: 47 pages, 39 figures, accepted to Physics of Fluids
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.0939 Zobrazit plný text záznamu View this record from Arxiv