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NPG | Articles | Volume 26, issue 3
Nonlin. Processes Geophys., 26, 283–290, 2019
https://doi.org/10.5194/npg-26-283-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
Nonlin. Processes Geophys., 26, 283–290, 2019
https://doi.org/10.5194/npg-26-283-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 21 Aug 2019

Research article | 21 Aug 2019

Explosive instability due to flow over a rippled bottom

Anirban Guha and Raunak Raj
Related subject area  
Subject: Nonlinear Waves, Pattern Formation, Turbulence | Topic: Climate, Atmosphere, Ocean, Hydrology, Cryosphere, Biosphere
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Cited articles  
Alam, M. R., Liu, Y., and Yue, D. K. P.: Bragg resonance of waves in a two-layer fluid propagating over bottom ripples, Part I, Perturbation analysis, J. Fluid Mech., 624, 191–224, 2009a. a
Alam, M. R., Liu, Y., and Yue, D. K. P.: Bragg resonance of waves in a two-layer fluid propagating over bottom ripples, Part II, Numerical simulation, J. Fluid Mech., 624, 225–253, 2009b. a
Alford, M. H., Mickett, J. B., Zhang, S., MacCready, P., Zhao, Z., and Newton, J.: Internal Waves on the Washington Continental Shelf, Oceanography, 25, 66–79, https://doi.org/10.5670/oceanog.2012.43, 2012. a
Ball, F. K.: Energy transfer between external and internal gravity waves, J. Fluid Mech., 19, 465–478, 1964. a
Cairns, R. A.: The role of negative energy waves in some instabilities of parallel flows, J. Fluid Mech., 92, 1–14, 1979. a, b, c, d
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Short summary
Waves observed on the ocean surface often nonlinearly interact among themselves and undergo algebraic growth – a mechanism known as resonant triad interaction. Bragg resonance is a special resonant triad in which one of the constituent waves is the ocean's undulating bottom boundary. Here we show that, in the presence of an ocean current, two surface waves or a surface wave and an interfacial wave (wave existing at the ocean pycnocline) can undergo exponential growth.
Waves observed on the ocean surface often nonlinearly interact among themselves and undergo...
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