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A weakly nonlinear theory has been proposed and developed for calculating the energy- transfer rate to individual waves in a group. It is shown what portion of total energy- transfer rate, over the envelope of wave group, affects individual…

Fluid Dynamics · Physics 2017-04-19 S. G. Sajjadi , J. C. R. Hunt , F. Drullion

Damage cost curves -- relating the typical damage of a natural hazard to its physical magnitude -- represent an indispensable ingredient necessary for climate change impact assessments. Combining such curves with the occurrence probability…

Physics and Society · Physics 2020-10-16 Diego Rybski , Boris F. Prahl , Markus Boettle , Jürgen P. Kropp

We report on the observation of gravity-capillary wave turbulence on the surface of a fluid in a high-gravity environment. By using a large-diameter centrifuge, the effective gravity acceleration is tuned up to 20 times the Earth gravity.…

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…

The results of the probabilistic analysis of the direct numerical simulations of irregular unidirectional deep-water waves are discussed. It is shown that an occurrence of large-amplitude soliton-like groups represents an extraordinary…

Pattern Formation and Solitons · Physics 2017-07-13 A. V. Slunyaev , A. V. Kokorina

In this paper, we study the effects of correlated random phases in the intensity of a superposition of $N$ wave-fields. Our results suggest that regardless of whether the phase distribution is continuous or discrete if the phases are random…

Applications · Statistics 2020-03-18 Roberto da Silva , Sandra D. Prado

We consider the problem of short-term prediction of rare, extreme water waves in unidirectional fields, a critical topic for ocean structures and naval operations. One possible mechanism for the occurrence of such rare, unusually-intense…

Pattern Formation and Solitons · Physics 2015-01-22 Will Cousins , Themistoklis P. Sapsis

Global return values of marine wind speed and significant wave height are estimated from very large aggregates of archived ensemble forecasts at +240-h lead time. Long lead time ensures that the forecasts represent independent draws from…

Atmospheric and Oceanic Physics · Physics 2014-07-22 Øyvind Breivik , Ole Johan Aarnes , Saleh Abdalla , Jean-Raymond Bidlot , Peter A. E. M. Janssen

Distributions of wave characteristics of ocean waves, such as wave slope, waveheight or wavelength, are an important tool in a variety of oceanographic applications such as safety of ocean structures or in the study of ship stability, as…

Probability · Mathematics 2008-12-18 Sofia Aberg , Igor Rychlik , M. Ross Leadbetter

We prove local higher-order asymptotics for extreme water waves with vorticity near stagnation points. We obtain that the behaviour of solutions and their regularity depend substantially on the vorticity. In particular, we show that extreme…

Analysis of PDEs · Mathematics 2021-03-29 Vladimir Kozlov , Evgeniy Lokharu

Nonlinear initial-boundary value problem on deep-water gravity waves of finite amplitude is solved approximately (up to small terms of higher order) assuming that the waves are generated by an initial disturbance to the water and the…

Atmospheric and Oceanic Physics · Physics 2014-06-09 I. M. Mindlin

Wall turbulence is a ubiquitous phenomenon in nature and engineering application, yet predicting such turbulence is difficult due to its complexity. High-Reynolds-number turbulence, which includes most practical flows, is particularly…

Fluid Dynamics · Physics 2018-11-14 Jinyul Hwang , Hyung Jin Sung

Due to the unitary evolution, quantum walks display different dynamical features from that of classical random walks. In contrast to this expectation, in this work, we show that extreme events can arise in unitary dynamics and its…

Quantum Physics · Physics 2025-02-27 Nisarg Vyas , M. S. Santhanam

The kinematic properties of unsteady highly non-linear 3D wave groups have been investigated using a numerical wave tank. Although carrier wave speeds based on zero-crossing analysis remain within +-7% of linear theory predictions, crests…

Atmospheric and Oceanic Physics · Physics 2015-08-26 X. Barthelemy , M. L. Banner , W. L. Peirson , F. Dias , M. Allis

Turbulent water motions are important for the exchange of momentum, heat, nutrients, and suspended matter including sediments in the deep-sea that is generally stably stratified in density. To maintain ocean-density stratification, an…

Atmospheric and Oceanic Physics · Physics 2024-08-14 Hans van Haren , Henk de Haas

This article discusses the description of wall-bounded turbulence as a deterministic high-dimensional dynamical system of interacting coherent structures, defined as eddies with enough internal dynamics to behave relatively autonomously…

Fluid Dynamics · Physics 2018-03-20 Javier Jimenez

We study the Floating Offshore Wind Turbine (FOWT) dynamic response to high wind velocity scenarios utilizing an extensive Markov Chain Monte Carlo simulation involving 10,000 trials of a reduced model from \cite{betti_development_2014}…

Dynamical Systems · Mathematics 2024-02-02 Yihan Liu , Michael Chertkov

Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantification, prediction and mitigation of extreme events are highly…

Chaotic Dynamics · Physics 2018-03-19 Mohammad Farazmand , Themistoklis P. Sapsis

The block maxima approach, which consists of dividing a series of observations into equal sized blocks to extract the block maxima, is commonly used for identifying and modelling extreme events using the generalized extreme value (GEV)…

Methodology · Statistics 2025-06-23 James H. McVittie , Orla A. Murphy

We investigate how the presence of a vertically sheared current affects wave statistics, including the probability of rogue waves, and apply it to a real-world case using measured spectral and shear current data from the Mouth of the…

Fluid Dynamics · Physics 2023-01-18 Zibo Zheng , Yan Li , Simen Å Ellingsen
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