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Why rogue waves occur atop abrupt depth transitions

Abstract:
Abrupt depth transitions (ADTs) have recently been identified as potential causes of ‘rogue’ ocean waves. When stationary and (close-to) normally distributed waves travel into shallower water over an ADT, distinct spatially localized peaks in the probability of extreme waves occur. These peaks have been predicted numerically, observed experimentally, but not explained theoretically. Providing this theoretical explanation using a leading-order-physics-based statistical model, we show, by comparing to new experiments and numerical simulations, the peaks arise from the interaction between linear free and second-order bound waves, also present in the absence of the ADT, and new second-order free waves generated due to the ADT.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2021.409

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Oxford college:
St Peter's College
Role:
Author
ORCID:
0000-0001-7556-1193


Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Volume:
919
Article number:
R5
Publication date:
2021-05-26
Acceptance date:
2021-05-03
DOI:
EISSN:
1469-7645
ISSN:
0022-1120


Language:
English
Keywords:
Pubs id:
1177840
Local pid:
pubs:1177840
Deposit date:
2021-05-21

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