Extreme Ocean Waves

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Extreme, freak or rogue waves are produced by a number of physical mechanisms that focus the water-wave energy into a small area, due to wave instability, chaotic behaviour, dispersion (frequency modulation), refraction (presence of variable currents or bottom topography), soliton interactions, etc. During the past thirty years a number of physical models of the rogue wave phenomenon have been intensively developed. Numerous experimental, statistical and theoretical investigations are intended to understand the physics of the huge wave formation, its relation to the environmental conditions and to provide a freak wave design for engineering purposes. The book details the vast progress that has been achieved in the understanding of the physical mechanisms of rogue wave phenomenon in recent years. The selected articles address such issues as the formation of freak waves due to modulation instability of nonlinear wave field, physical and statistical properties of rogue wave generation in deep water and in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between observations and freak wave theories. The book is written for specialists in the fields of fluid mechanics, applied mathematics, nonlinear physics, physical oceanography and geophysics, and for students learning these subjects.

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Extreme Ocean Waves Efim Pelinovsky • Christian Kharif Editors Extreme Ocean Waves 123 Editors Efim Pelinovsky Russian Academy of Sciences Inst. Appl. Physics Ul’yanov str. 46 Nizhny Novgorod Russia 603950 [email protected] Christian Kharif IRPHE Technopole de Chateau-Gombert 49 rue F. Joliot Curie 13384 Marseille BP 146 France [email protected] c 2008 JupiterImages Corporation Cover images ISBN 978-1-4020-8313-6 e-ISBN 978-1-4020-8314-3 Library of Congress Control Number: 2008928129 c 2008 Springer Science+Business Media B.V. No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com Preface Extreme wave events occurring in seas and oceans almost every week are reported. There are a number of physical mechanisms that focus the water wave energy into a small area and produce the occurrence of extreme waves called freak or rogue waves. These events may be due to wave instability (modulation or Benjamin-Feir instability), chaotic behavior, dispersion (frequency modulation), refraction (presence of variable currents or bottom topography), soliton interactions, etc. These giant waves are a real danger to ships and platforms, causing accidents resulting in human loss. There are several examples of such events which occurred in 2007. The freak surge striking East Anglia and Kent (UK) on November 12 missed the high tide by minutes and forced the emergency services to evacuate more than 1,000 people from their homes. Strong waves struck a group of 15 picnickers who had waded far into the sea on October 15 at the Gadani beach about 40 km southwest of Karachi (Pakistan). On October 1, nine houses were destroyed and 77 families displaced when strong waves hit the coastal Davao City (Phillipine).