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You are here: Home / Events / Seminars / seminaires-septembre-2017-aout-2018 / lundi-16-avril-a-dynamics-based-viewpoint-on-solitary-like-internal-waves-in-the-presence-of-rotation

by SEMSOU last modified Mar 19, 2018 09:37 AM
When Apr 16, 2018
from 02:30 PM to 03:30 PM
Where salle Coriolis
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Marek Stastna

Department of Applied Mathematics

University of Waterloo, Canada


Title: A dynamics-based viewpoint on solitary-like internal waves in the presence of rotation.


Abstract: In this talk I will present the theory of large amplitude internal solitary waves using the Dubreil-Jacotin-Long equation.  No prior knowledge beyond basic fluid mechanics will be assumed. After providing some context for observations in the field, I will provide examples of solutions of large amplitude internal solitary waves and illustrate a particular behaviour in the large available potential energy limit, namely that of flat crested waves. I will use this limit as a motivation to explore a novel portion of parameter space for flow over topography, namely that of very large amplitude, trapped waves.  I will then discuss the manner in which the balance between nonlinearity and dispersion that allows internal solitary waves to remain solitary is altered in the presence of rotation.  I will illustrate how the dynamics changes using three case studies, classical stratified adjustment, supercritical flow over topography and the dynamics of mode-2 Kelvin waves.  In each of these three cases, dispersion allows for complex behaviour, including long lasting inertial oscillations, but only in the last of the three is there appreciable overturning and small scale mixing.  I will conclude with some comments on extensions to field scale and possible experimental confirmation of the findings.

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