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Numerically computed with high accuracy are periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow of an incompressible inviscid fluid, under gravity, without the effects of surface…

Fluid Dynamics · Physics 2023-01-25 Sergey A. Dyachenko , Vera Mikyoung Hur , Denis A. Silantyev

Numerical simulations of fully nonlinear equations of motion for long-crested waves at deep water demonstrate that in elongate wave groups the formation of extreme waves occurs most intensively if in an initial state the wave fronts are…

Fluid Dynamics · Physics 2011-10-11 V. P. Ruban

We present a study on the prediction of rogue waves during the 1-hour sea state of Hurricane Joaquin when the Merchant Vessel El Faro sank east of the Bahamas on October 1, 2015. High-resolution hindcast of hurricane-generated sea states…

Geophysics · Physics 2017-03-24 Francesco Fedele , Claudio Lugni , Arun Chawla

Rogue waves are extreme and rare fluctuations of the wave field that have been discussed in many physical systems. Their presence substantially influences the statistical properties of an incoherent wave field. Their understanding is…

Pattern Formation and Solitons · Physics 2018-01-24 Rebecca El Koussaifi , Alexey Tikan , Alessandro Toffoli , Stephane Randoux , Pierre Suret , Miguel Onorato

Based on data from the Japan Sea and the North Sea the occurrence of rogue waves is analyzed by a scale dependent stochastic approach, which interlinks fluctuations of waves for different spacings. With this approach we are able to…

Atmospheric and Oceanic Physics · Physics 2018-03-14 Ali Hadjihoseini , Pedro G. Lind , Nobuhito Mori , Norbert P. Hoffmann , Joachim Peinke

We investigate experimentally the statistical properties of a wind-generated wave field and the spontaneous formation of rogue waves in an annular flume. Unlike many experiments on rogue waves, where waves are mechanically generated, here…

Wave impact and run-up onto vertical obstacles are among the most important phenomena which must be taken into account in the design of coastal structures. From linear wave theory, we know that the wave amplitude on a vertical wall is twice…

Classical Physics · Physics 2020-05-26 Francesco Carbone , Denys Dutykh , John M. Dudley , Frédéric Dias

We propose a new conceptual framework for the prediction of rogue waves and third-order space-time extremes of wind seas that relies on the Tayfun (1980) and Janssen (2009) models coupled with Adler-Taylor (2009) theory on the Euler…

Atmospheric and Oceanic Physics · Physics 2015-07-10 Francesco Fedele

The occurrence of extreme (rogue) waves in the ocean is for the most part still shrouded in mystery, as the rare nature of these events makes them difficult to analyze with traditional methods. Modern data mining and machine learning…

Atmospheric and Oceanic Physics · Physics 2021-08-13 Dion Häfner , Johannes Gemmrich , Markus Jochum

We present a statistical analysis based on the height and return time probabilities of high amplitude wave events in both focusing and defocusing Manakov systems. We find that analytical rational/semirational solutions, associated with…

Pattern Formation and Solitons · Physics 2018-08-01 A. Mancic , F. Baronio , Lj. Hadzievski , S. Wabnitz , A. Maluckov

Bore-bore capture occurs when a faster moving bore captures a slower moving bore whilst both are propagating shoreward in the surf or swash zones. This phenomenon occurs frequently on natural beaches, but has not yet been quantified in the…

Atmospheric and Oceanic Physics · Physics 2020-07-15 Caio E. Stringari , Hannah E. Power

It is shown that very steep coastal profiles can give rise to unexpectedly large wave events at the coast. We combine insight from exact solutions of a simplified mathematical model with photographs from observations at the Norwegian coast…

Atmospheric and Oceanic Physics · Physics 2020-10-05 Maria Bjørnestad , Henrik Kalisch

On September 16th, 2023, an anomalous 10.88 mHz seismic signal was observed globally, persisting for 9 days. One month later an identical signal appeared, lasting for another week. Several studies have theorized that these signals were…

Geophysics · Physics 2024-11-06 Thomas Monahan , Tianning Tang , Stephen Roberts , Thomas A. A. Adcock

Storm surges cause coastal inundations due to the setup of the water surface resulting from atmospheric pressure, surface winds and breaking waves. The latter is particularly difficult to be accounted for. For instance, it was observed that…

Applications · Statistics 2019-10-07 Theodoros Mathikolonis , Volker Roeber , Serge Guillas

The sea surface elevations are generally stated as Gaussian processes in the literature. To show the inaccuracy of this statement, an empirical study of the buoys in the US coast at a random day is performed, which results in rejecting the…

Applications · Statistics 2022-07-05 Alicia Nieto-Reyes

The formation of coherent structures in noise driven phenomena and in Turbulence is a complex and fundamental question. A particulary important structure is the so-called Rogue Wave (RW) that arises as the sudden appearance of a localized…

Rogue waves named by oceanographers are ubiquitous in nature and appear in a variety of different contexts such as water waves, liquid Helium, nonlinear optics, microwave cavities, etc. In this letter, we propose a novel type of exact…

Pattern Formation and Solitons · Physics 2017-10-19 M. Jia , S. Y. Lou

By means of the direct numerical simulation of directional waves on the surface of deep water it is shown that extreme waves can exhibit such asymmetry that the occurrence of deeper troughs is several times more likely on the wave rear…

Fluid Dynamics · Physics 2023-09-14 Alexey V. Slunyaev , Anna V. Kokorina

We report the first observation of extreme wave events (rogue waves) in parametrically driven capillary waves. Rogue waves are observed above a certain threshold in forcing. Above this threshold, frequency spectra broaden and develop…

Fluid Dynamics · Physics 2010-03-15 M. Shats , H. Punzmann , H. Xia

The appearance of rogue waves in deep sea is investigated using the modified nonlinear Schr\"odinger (MNLS) equation in one spatial-dimension with random initial conditions that are assumed to be normally distributed, with a spectrum…

Fluid Dynamics · Physics 2018-01-24 Giovanni Dematteis , Tobias Grafke , Eric Vanden-Eijnden