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Coupled Ostrovsky equations for internal waves in a shear flow
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 analytica...
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| Format: | Default Article |
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2014
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| Online Access: | https://hdl.handle.net/2134/20161 |
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| _version_ | 1818172361324625920 |
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| author | A. Alias Roger Grimshaw Karima Khusnutdinova |
| author_facet | A. Alias Roger Grimshaw Karima Khusnutdinova |
| author_sort | A. Alias (7160921) |
| collection | Figshare |
| description | 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. |
| format | Default Article |
| id | rr-article-9384908 |
| institution | Loughborough University |
| publishDate | 2014 |
| record_format | Figshare |
| spelling | rr-article-93849082014-01-01T00:00:00Z Coupled Ostrovsky equations for internal waves in a shear flow A. Alias (7160921) Roger Grimshaw (1258863) Karima Khusnutdinova (1247967) Other mathematical sciences not elsewhere classified Internal waves Rotating ocean Coupled Ostrovsky equations Strong inter-actions Shear flow Resonance Mathematical Sciences not elsewhere classified 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. 2014-01-01T00:00:00Z Text Journal contribution 2134/20161 https://figshare.com/articles/journal_contribution/Coupled_Ostrovsky_equations_for_internal_waves_in_a_shear_flow/9384908 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified Internal waves Rotating ocean Coupled Ostrovsky equations Strong inter-actions Shear flow Resonance Mathematical Sciences not elsewhere classified A. Alias Roger Grimshaw Karima Khusnutdinova Coupled Ostrovsky equations for internal waves in a shear flow |
| title | Coupled Ostrovsky equations for internal waves in a shear flow |
| title_full | Coupled Ostrovsky equations for internal waves in a shear flow |
| title_fullStr | Coupled Ostrovsky equations for internal waves in a shear flow |
| title_full_unstemmed | Coupled Ostrovsky equations for internal waves in a shear flow |
| title_short | Coupled Ostrovsky equations for internal waves in a shear flow |
| title_sort | coupled ostrovsky equations for internal waves in a shear flow |
| topic | Other mathematical sciences not elsewhere classified Internal waves Rotating ocean Coupled Ostrovsky equations Strong inter-actions Shear flow Resonance Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/20161 |