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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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https://doi.org/10.5194/npg-2017-71
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
05 Dec 2017
Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Nonlinear Processes in Geophysics (NPG).
Instabilities within Rotating mode-2 Internal Waves
David Deepwell, Marek Stastna, and Aaron Coutino Department of Applied Mathematics, University of Waterloo, Waterloo, Canada
Abstract. We present high resolution, three dimensional simulations of rotation modified mode-2 internal solitary waves at various rotation rates and Schmidt numbers. Rotation is seen to change the internal solitary-like waves observed in the absence of rotation into a leading Kelvin wave followed by Poincaré waves. Mass and energy is found to be advected towards the right-most side wall (for Northern hemisphere rotation) which led to Kelvin-Helmholtz instabilities within the leading Kelvin wave that form above and below the pycnocline. These instabilities are localized within a region near the side wall and intensify in vigour with increasing rotation rate. Secondary Kelvin waves form further behind the wave from either resonance with radiating Poincaré waves or the remnants of the K-H instability. The first of these mechanisms is in accord with published work on mode-1 Kelvin waves. Both types of secondary Kelvin waves form on the same side of the channel as the leading Kelvin wave. Comparisons of equivalent cases with different Schmidt numbers indicate that while low Schmidt number results in the correct general characteristics of the modified ISWs, it does not correctly predict the trailing Poincaré wave field or the intensity and duration of the K-H instabilities.

Citation: Deepwell, D., Stastna, M., and Coutino, A.: Instabilities within Rotating mode-2 Internal Waves, Nonlin. Processes Geophys. Discuss., https://doi.org/10.5194/npg-2017-71, in review, 2017.
David Deepwell et al.
David Deepwell et al.
David Deepwell et al.

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We have used numerical simulations to investigate the impact that rotation has on large waves existing internally to the ocean. In coastal regions these waves become trapped along the coast because of the rotation. We have found that this trapping results in heightened mixing along the coast which has implications for nutrient and chemical distributions.
We have used numerical simulations to investigate the impact that rotation has on large waves...
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