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On the breaking inception of unsteady water wave packets evolving in the presence of constant vorticity

Published online by Cambridge University Press:  09 March 2021

Julien Touboul Open the ORCID record for Julien Touboul [Opens in a new window]  and
Michael L. Banner Open the ORCID record for Michael L. Banner [Opens in a new window]
Julien Touboul*
Affiliation:
Université de Toulon, Aix Marseille Univ., CNRS, IRD, MIO, Toulon, France
Michael L. Banner
Affiliation:
School of Mathematics and Statistics, The University of New South Wales, Sydney2052, Australia
*
†Email address for correspondence: julien.touboul@mio.osupytheas.fr
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Abstract

The recent numerical study of Barthelemy et al. (J. Fluid Mech., vol. 841, 2018, pp. 463–488) investigated the local properties of two-dimensional (2-D) and three-dimensional (3-D) nonlinear unsteady gravity wave packets in deep and uniform intermediate depth water. Their study focused on the breaking inception transition zone separating maximum recurrence and marginal breaking, and reported that a suitably normalized energy flux localized at the steepest crest in the packet provides a robust breaking threshold parameter. Our present study uses the fully nonlinear boundary integral element method solver developed by Touboul & Kharif (Nat. Haz., vol. 84, issue 2, 2016, pp. 585–598) to investigate breaking inception of 2-D deep water nonlinear water wave packets propagating in the presence of a background current that varies linearly with depth. We seek to validate whether the proposed generic breaking inception threshold holds for the case of constant background vorticity. Results are presented for different packet bandwidths and background vorticity levels.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Wave breaking
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A16
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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