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Modeling Extreme Wave Heights from Laboratory Experiments with the Nonlinear Schrödinger Equation : Volume 14, Issue 4 (24/04/2014)

By Zhang, H. D.

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Book Id: WPLBN0004018613
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Modeling Extreme Wave Heights from Laboratory Experiments with the Nonlinear Schrödinger Equation : Volume 14, Issue 4 (24/04/2014)  
Author: Zhang, H. D.
Volume: Vol. 14, Issue 4
Language: English
Subject: Science, Natural, Hazards
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2014
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Zhang, H. D., Cherneva, Z., Soares, C. G., & Onorato, M. (2014). Modeling Extreme Wave Heights from Laboratory Experiments with the Nonlinear Schrödinger Equation : Volume 14, Issue 4 (24/04/2014). Retrieved from http://hawaiilibrary.net/


Description
Description: Centre for Marine Technology and Engineering (CENTEC), Instituto Superior Técnico, Technical University of Lisbon, Lisbon, Portugal. Spatial variation of nonlinear wave groups with different initial envelope shapes is theoretically studied first, confirming that the simplest nonlinear theoretical model is capable of describing the evolution of propagating wave packets in deep water. Moreover, three groups of laboratory experiments run in the wave basin of CEHIPAR (Canal de Experiencias Hidrodinámicas de El Pardo, known also as El Pardo Model Basin) was founded in 1928 by the Spanish Navy. are systematically compared with the numerical simulations of the nonlinear Schrödinger equation. Although a little overestimation is detected, especially in the set of experiments characterized by higher initial wave steepness, the numerical simulation still displays a high degree of agreement with the laboratory experiments. Therefore, the nonlinear Schrödinger equation catches the essential characteristics of the extreme waves and provides an important physical insight into their generation. The modulation instability, resulting from the quasi-resonant four-wave interaction in a unidirectional sea state, can be indicated by the coefficient of kurtosis, which shows an appreciable correlation with the extreme wave height and hence is used in the modified Edgeworth–Rayleigh distribution. Finally, some statistical properties on the maximum wave heights in different sea states have been related with the initial Benjamin–Feir index.

Summary
Modeling extreme wave heights from laboratory experiments with the nonlinear Schrödinger equation

Excerpt
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