Predicting ocean rogue waves from point measurements: An experimental study for unidirectional waves

Abstract

Rogue waves are strong localizations of the wave field that can develop in different branches of physics and engineering such as water or electromagnetic waves. Here, we experimentally quantify the prediction potentials of a comprehensive rogue-wave reduced-order precursors tool that has been recently developed to predict extreme events due to spatially localized modulation instability. The laboratory tests have been conducted in two different water wave facilities and they involve unidirectional water waves; in both cases we show that the deterministic and spontaneous emergence of extreme events is well-predicted through the reported scheme. Due to the interdisciplinary character of the approach, similar studies may be motivated in other nonlinear dispersive media, such nonlinear optics, plasma and solids governed by similar equations allowing the early stage of extreme wave detection.

On the Deterministic Prediction of Water Waves

“…Thus, the numerical effort for the prediction of extreme events is reduced to the proper decomposition of the sea state and identification of the underlying, precomputed EWG. Cousins et al [29] showed a similar approach: a data-driven prediction scheme for the prediction on extreme events. This approach can also divided into two separate components.…”

Effect of local Peregrine soliton emergence on statistics of random waves in the one-dimensional focusing nonlinear Schrödinger equation

“…The measured wave height is 25.6 m (trough to crest), while the significant wave height (four standard deviations of the surface elevation) is approximately 12 m. Waves of such amplitude unconditionally represent a great danger to mariners. Therefore, understanding the nature of the RWs and predicting their emergence are problems of paramount importance in physics [1,4,5].…”

Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics

“…Via Painlevé analysis, we have found that Eq. ( 1) is Painlevé integrable under Condition (10). By truncating Laurent Series (4), we have obtained the logarithm transformation u = 2(ln f ) x , which can be used to derive the bilinear form for Eq.…”

“…Propagation of periodic and solitary waves along the magnetic field has been examined in a cold collision-free plasma [8]. Analyses of real-world ocean wave data and controlled experiments in wave tanks have supported both nonlinear and linear interpretations of rogue waves in the ocean [9][10][11].…”