Experimental reconstruction of extreme sea waves by time reversal principle

Ducrozet, Guillaume; Bonnefoy, Félicien; Mori, Nobuhito; Fink, Mathias; Chabchoub, Amin

doi:10.1017/jfm.2019.939

Cited by 14 publications

(2 citation statements)

References 38 publications

(63 reference statements)

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“…Linear wave propagation will not do the trick in the high and steep wave conditions associated with wave impacts. Methods such as the "analytical-empirical" iterative method in [132] or a procedure based on a non-linear numerical wave tool [133] could be used to propagate a given wave event back to the wave generator in a (semi) non-linear way.…”

Section: Wavementioning

confidence: 99%

Finding Dangerous Waves—Review of Methods to Obtain Wave Impact Design Loads for Marine Structures

Essen

Seyffert

2023

Journal of Offshore Mechanics and Arctic Engineering

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Green water and slamming wave impacts can lead to severe damage or operability issues for marine structures. It is therefore essential to consider their probability and loads in design. This is difficult, as impacts are both hydrodynamically complex and relatively rare. The complexity requires high-fidelity modelling (experiments or CFD), whereas a statistically sound analysis of rare events requires long durations. High-fidelity tools are too demanding to run a Monte-Carlo simulation; low fidelity tools do not include sufficient physical details. The use of extreme value theory and / or multi-fidelity modeling is therefore required. The present paper reviews the state-of-the-art methods to find wave impact design loads, which include response-conditioning methods, screening methods and adaptive sampling methods. Their benefits and shortcomings are discussed, as well as challenges for the wave impact problem. One challenge is the role of wave non-linearity. Another is the validation of the different methods; it is hard to obtain long-duration high fidelity wave impact data.

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Section: Wavementioning

confidence: 99%

Finding Dangerous Waves—Review of Methods to Obtain Wave Impact Design Loads for Marine Structures

Essen

Seyffert

2023

Journal of Offshore Mechanics and Arctic Engineering

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“…Since the proof of NLSE-integrability [6], several key wave envelope solutions have been derived and discussed within the context of modulation instability, see [7,8,9,10,11,12,13]. Besides the time-reversal symmetry [14], which has been proven to be useful for applications [15], another invariant operation is the Galilean transformation (GT) [7,16,17]. That said, introducing a Galilean velocity (GV) to a NLSE pulse is colligated to a carrier frequency-shift to satisfy symmetry [18].…”

Section: Introductionmentioning

confidence: 99%

Galilean-transformed solitons and supercontinuum generation in dispersive media

He,

Ducrozet,

Hoffmann

et al. 2022

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The Galilean transformation is a universal operation connecting the coordinates of a dynamical system, which move relative to each other with a constant speed. In the context of exact solutions of the universal nonlinear Schrödinger equation (NLSE), inducing a Galilean velocity (GV) to the pulse involves a frequency shift to satisfy the symmetry of the wave equation. As such, the Galilean transformation has been deemed to be not applicable to wave groups in nonlinear dispersive media. In this paper, we demonstrate that in a wave tank generated Galilean transformed envelope and Peregrine solitons show clear variations from their respective pure dynamics on the water surface. The type of deviations depends on the sign of the GV and can be captured by the modified NLSE or the Euler equations. Moreover, we show that positive Galilean-translated envelope soliton pulses exhibit selfmodulation. While designated GS and wave steepness values expedite multisoliton dynamics, the strong focusing of such higher-order coherent waves inevitably lead to the generation of supercontinua as a result of soliton fission. We anticipate that kindred experimental and numerical studies might be implemented in other dispersive wave guides governed by nonlinearity.

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