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Discussion papers | Copyright
https://doi.org/10.5194/nhess-2018-238
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Brief communication 14 Aug 2018

Brief communication | 14 Aug 2018

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Natural Hazards and Earth System Sciences (NHESS).

Brief communication: The occurrence of rogue waves in the interior of the oceans: A modelling and computational study

Kwok Wing Chow1, Hiu Ning Chan2, and Roger H. J. Grimshaw3 Kwok Wing Chow et al.
  • 1Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong
  • 2Department of Mathematics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong
  • 3Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom

Abstract. The occurrence of unexpectedly large displacements in the interior of the oceans is studied through the dynamics of packets of internal waves, where the evolution is governed by the nonlinear Schrödinger equation. The case of constant buoyancy frequency permits analytical treatment. While modulation instability for surface waves only arises for sufficiently deep water, rogue internal waves may occur if the fluid depth is shallow. The dependence on the stratification parameter and choice of internal modes can be demonstrated explicitly. The spontaneous generation of rogue waves is tested by numerical simulations.

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Short summary
Internal waves in the oceans arise from density stratification and play critical roles in transport and mixing. Rogue waves are unexpectedly large displacements from a tranquil sea surface, and pose immense danger to ships and offshore structures. A theoretical model is developed to predict the onset of abnormally large waves deep in the oceans for constant buoyancy frequency. Unlike surface waves, rogue internal waves can occur for fluid depths small compared with the wavelengths.
Internal waves in the oceans arise from density stratification and play critical roles in...
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