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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/npg-2019-13
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-2019-13
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 02 Apr 2019

Research article | 02 Apr 2019

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Nonlinear Processes in Geophysics (NPG).

Explosive instability due to flow over a rippled bottom

Raunak Raj1 and Anirban Guha1,2 Raunak Raj and Anirban Guha
  • 1Environmental and Geophysical Fluids Group, Department of Mechanical Engineering, Indian Institute of Technology,Kanpur, U.P. 208016, India
  • 2Institute of Coastal Research, Helmholtz-Zentrum Geesthacht, Geesthacht 21502, Germany

Abstract. In this paper, we study Bragg resonance, i.e. the triad interaction between surface and/or interfacial waves with bottom ripple, in the presence of background velocity. We show that when one of the constituent waves of the triad has negative energy, the amplitudes of all the waves grow exponentially. This is very different from classic Bragg resonance in which one wave decays to cause the growth of the other. The instabilities we observe are explosive and are different from normal mode shear instabilities since our velocity profiles are linearly stable. Our work may explain the existence of large amplitude internal waves over periodic bottom ripples in the presence of tidal flow observed in oceans and estuaries.

Raunak Raj and Anirban Guha
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Status: open (until 28 May 2019)
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Raunak Raj and Anirban Guha
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