Waves in Oceanic and Coastal Waters (2024)


Cambridge University Press
978-0-521-86028-4 - Waves in Oceanic and Coastal Waters - by Leo H. Holthuijsen
Frontmatter/Prelims

Quotes from pre-publication reviews

‘This book will undoubtedly be welcomed by the extensive engineering community concerned with the impact of ocean waves on ships, off-shore structures, coastal protection, dikes, harbours, beaches and tidal basins...The book contains a trove of practical information on all aspects of waves in the open ocean and coastal regions...providing an invaluable source of information.’

K. Hasselmann, Director (retired) of the Max-Planck-Institut für Meteorologie, Hamburg, and Emeritus Professor of Theoretical Geophysics, University of Hamburg, Germany

‘The author, well-known for his work in wave modeling and the development of the SWAN model, provides a valuable introduction to ocean wave statistics, generation by wind, and modeling in deep and shallow water....The book will be very helpful to students, as well as professionals, interested in wind-wave wave modeling. All SWAN users will want a copy.’

R.A. Dalrymple, Williard & Lillian Hackerman Professor of Civil Engineering, Johns Hopkins University, USA

‘...the best introduction to practical engineers to grasp the directional spectral wave approach....The book is excellent not only as a textbook for students but also as a reference book for professionals.’

Y. Goda, Executive Advisor to ECOH CORPORATION, Emeritus Professor of Civil Engineering, Yokohama National University, Director-General (retired) of the Port and Airport Research Institute, Japan

‘...ideally suited as a reference work for advanced undergraduate and graduate students and researches....The book is a “must have” for engineers and scientists interested in the ocean....The book explains quite complex processes with remarkable clarity and the use of informative examples. Drawing on the author's international reputation as a researcher in the field, the book brings together classical theory and state of the art techniques in a consistent framework. It is an invaluable reference for students, researchers and practitioners.’

I. Young, Vice-Chancellor and President of Swinburne University of Technology, Australia

‘This is a great book. The author is one of the leading experts in the field of waves who has taught the subject for over 20 years – and it shows. The book has a broad scope, which would be of interest to students just learning the subject, as well as professionals who wish to broaden their range of knowledge or who want to refresh their memory...recommended for introductory as well as advanced students and professionals.’

J. W. Kamphuis, Emeritus Professor of Civil Engineering, Queen’s University, Canada

‘This book presents an original and refreshing view on nearly all topics which are required nowadays to deal with wind generated waves at the sea surface....The logical structure...and the fact that it avoids complex numbers and vector notation will...facilitate its comprehension.’

A. Sánchez-Arcilla, Professor of Coastal Engineering, Universitat Politècnica de Catalunya, Spain

‘...highlights key concepts, unites seemingly unconnected theories, and unlocks the complexity of the sea. [This book] will become an important reference for students, coastal and ocean engineers, and oceanographers.’

J. Smith, Editor, International Conference on Coastal Engineering, US Army Engineer Research and Development Center, USA

‘...Although several books on waves already exist, I find this new contribution particularly valuable...I will thus particularly recommend [it] for people wishing to acquire and understand the key-concepts and essential notions on waves in oceanic and coastal waters.’

M. Benoit, Research Engineer, Laboratoire National d’Hydraulique, France

‘This book is exceptionally well organized for teachers who want a thorough introduction to ocean waves in nature. It fills a key gap in text books, between overly simplistic treatments of ocean waves and detailed theoretical/mathematical treatises beyond the needs of most students. I found the text very clear and readable. Explanations and derivations within this book are both innovative and instructive and the focus on key elements required to build a strong foundation in ocean waves remains strong throughout the book.’

D. T. Resio, Chief Research and Development Advisor, US Army Engineer Research & Development Center, USA



WAVES IN OCEANIC AND COASTAL WATERS

Waves in Oceanic and Coastal Watersdescribes the observation, analysis and prediction of wind-generated waves in the open ocean, in shelf seas, and in coastal regions. The book brings graduate students, researchers and engineers up-to-date with the science and technology involved, assuming only a basic understanding of physics, mathematics and statistics.

Most of this richly illustrated book is devoted to the physical aspects of waves. After introducing observation techniques for waves, both at sea and from space, the book defines the parameters that characterize waves. Using basic statistical and physical concepts, the author discusses the prediction of waves in oceanic and coastal waters, first in terms of generalized observations, and then in terms of the more theoretical framework of the spectral energy balance: their origin (generation by wind), their transformation to swell (dispersion), their propagation into coastal waters (shoaling, refraction, diffraction and reflection), the interaction amongst themselves (wave-wave interactions) and their decay (white-capping, bottom friction, and surf-breaking). He gives the results of established theories and also the direction in which research is developing. The book ends with a description of SWAN (Simulating Waves Nearshore), the preferred computer model of the engineering community for predicting waves in coastal waters.

Early in his career, the author was involved in the development of techniques to measure the directional characteristics of wind-generated waves in the open sea. He contributed to various projects, in particular the Joint North Sea Wave Project (JONSWAP), which laid the scientific foundation for modern wave prediction. Later, he concentrated on advanced research and development for operational wave prediction and was thus involved in the initial development of the computer models currently used for global wave prediction at many oceanographic and meteorological institutes in the world. More recently, he initiated, supervised and co-authored SWAN, the computer model referred to above, for predicting waves in coastal waters. For ten years he co-chaired the Waves in Shallow Environments (WISE) group, a world wide forum for research and development underlying operational wave prediction. He has published widely on the subject and teaches at the Delft University of Technology and UNESCO-IHE in the Netherlands.



LEO H. HOLTHUIJSEN

Delft University of Technology and
UNESCO-IHE



CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo

Cambridge University Press
The Edinburgh Building, Cambridge CB2 2RU, UK

Published in the United States of America by Cambridge University Press, New York

www.cambridge.org
Information on this title: www.cambridge.org/9780521860284

© L. H. Holthuijsen 2007

This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without
the written permission of Cambridge University Press.

First published 2007

Printed in the United Kingdom at the University Press, Cambridge

A catalogue record for this publication is available from the British Library

ISBN-13 - 978-0-521-86028-4 hardback

Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or
third-party internet websites referred to in this publication, and does not guarantee that any content on such
websites is, or will remain, accurate or appropriate.

The author has used his best endeavours to ensure that the information in this book is correct. However, neither
the author nor the publisher can be held responsible for the accuracy, completeness or usefulness of the information.



Contents

Prefacepage xiii
Acknowledgementsxv
1Introduction1
1.1Key concepts1
1.2This book and its reader1
1.3Physical aspects and scales3
1.4The structure of the book7
2Observation techniques10
2.1Key concepts10
2.2Introduction10
2.3In situ techniques12
2.3.1Wave buoys13
2.3.2Wave poles15
2.3.3Other in situ techniques17
2.4Remote-sensing techniques18
2.4.1Imaging techniques19
Stereo-photography19
Imaging and non-imaging radar20
2.4.2Altimetry21
Laser altimetry21
Acoustic altimetry22
Radar altimetry22
3Description of ocean waves24
3.1Key concepts24
3.2Introduction24
3.3Wave height and period25
3.3.1Waves25
3.3.2Wave height27
3.3.3Wave period29
3.4Visual observations and instrumental measurements29
3.5The wave spectrum31
3.5.1Introduction31
3.5.2The random-phase/amplitude model33
3.5.3The variance density spectrum36
3.5.4Interpretation of the variance density spectrum38
3.5.5Alternative definitions41
The spectral domain41
Formal definition42
3.5.6The frequency–direction spectrum43
3.5.7The spectrum at sea47
3.5.8Wave-number spectra48
The one-dimensional wave-number spectrum49
The two-dimensional wave-number spectrum49
The three-dimensional frequency–wave-number spectrum50
3.5.9Spectrum acquisition51
3.6Transfer functions and response spectra52
4Statistics56
4.1Key concepts56
4.2Short-term statistics56
4.2.1Instantaneous surface elevation57
4.2.2Wave height and period60
Wave period60
Crest height62
Wave height68
4.2.3Wave groups75
4.2.4Extreme values77
Extreme elevations78
Extreme wave heights82
4.3Long-term statistics (wave climate)85
4.3.1The initial-distribution approach87
4.3.2The peak-over-threshold approach95
4.3.3The annual-maximum approach98
4.3.4Individual wave height101
4.3.5Wave atlases105
5Linear wave theory (oceanic waters)106
5.1Key concepts106
5.2Introduction107
5.3Basic equations and boundary conditions107
5.3.1Idealisations of the water and its motions108
5.3.2Balance equations109
Mass balance and continuity equations112
Momentum balance112
5.3.3Boundary conditions114
5.3.4The velocity potential function115
5.4Propagating harmonic wave118
5.4.1Introduction118
5.4.2Kinematics119
Particle velocity120
Particle path121
5.4.3Dynamics123
The dispersion relationship123
Phase velocity and group velocity125
Wave-induced pressure128
5.4.4Capillary waves129
5.5Wave energy (transport)131
5.5.1Wave energy131
5.5.2Energy transport132
5.6Nonlinear, permanent waves137
5.6.1Introduction137
5.6.2Stokes’ theory and Dean’s stream-function theory139
5.6.3Cnoidal and solitary waves142
6Waves in oceanic waters145
6.1Key concepts145
6.2Introduction146
6.3Wave modelling for idealised cases (oceanic waters)147
6.3.1Idealised wind148
6.3.2The significant wave150
6.3.3The one-dimensional wave spectrum155
6.3.4The two-dimensional wave spectrum162
6.4Wave modelling for arbitrary cases (oceanic waters)167
6.4.1The energy balance equation169
6.4.2Wave propagation and swell174
6.4.3Generation by wind177
6.4.4Nonlinear wave–wave interactions (quadruplet)183
6.4.5Dissipation (white-capping)188
6.4.6Energy flow in the spectrum192
6.4.7First-, second- and third-generation wave models194
7Linear wave theory (coastal waters)197
7.1Key concepts197
7.2Introduction197
7.3Propagation199
7.3.1Shoaling199
7.3.2Refraction202
7.3.3Diffraction210
7.3.4Refraction and diffraction217
7.3.5Tides and currents218
7.3.6Reflections221
7.4Wave-induced set-up and currents225
7.4.1Introduction225
7.4.2Wave momentum and radiation stress225
7.4.3Wave-induced set-up, set-down and currents234
7.5Nonlinear, evolving waves239
7.5.1Introduction239
7.5.2The Boussinesq model240
7.6Breaking waves242
8Waves in coastal waters244
8.1Key concepts244
8.2Introduction245
8.3Wave modelling for idealised cases (coastal waters)246
8.3.1The significant wave247
8.3.2The one-dimensional wave spectrum250
8.3.3The two-dimensional wave spectrum256
8.4Wave modelling for arbitrary cases (coastal waters)256
8.4.1The energy/action balance equation257
8.4.2Wave propagation263
8.4.3Generation by wind268
8.4.4Nonlinear wave–wave interactions269
Quadruplet wave–wave interactions269
Triad wave–wave interactions270
8.4.5Dissipation276
White-capping276
Bottom friction276
Depth-induced (surf-)breaking281
8.4.6Energy flow in the spectrum284
9The SWAN wave model286
9.1Key concepts286
9.2Introduction286
9.3Action balance288
9.3.1The action balance equation288
9.3.2Generation by wind289
9.3.3Nonlinear wave–wave interactions292
Quadruplet wave–wave interactions292
Triad wave–wave interactions293
9.3.4Dissipation294
White-capping294
Bottom friction295
Depth-induced (surf-)breaking296
Reflection, transmission and absorption296
9.4Wave-induced set-up296
9.5Numerical techniques298
9.5.1Introduction298
9.5.2Propagation299
Numerical schemes301
Solvers, grids and boundaries305
9.5.3Generation, wave–wave interactions and dissipation306
Positive source terms307
Negative source terms307
Numerical stability308
9.5.4Wave-induced set-up309
Appendix A Random variables310
Appendix B Linear wave theory318
Appendix C Spectral analysis324
Appendix D Tides and currents335
Appendix E Shallow-water equations342
References347
Index379

Preface

In my position as associate professor at Delft University of Technology and as a guest lecturer at UNESCO-IHE (Delft, the Netherlands), I have for more than 20 years, with great pleasure, supported students and professionals in their study of ocean waves. At Delft University I have had, in addition, the opportunity to work with colleagues, notably Nico Booij, on developing numerical wave models, one of which (SWAN) has widely been accepted as an operational model for predicting waves in coastal waters.

Over the years, I have made notes to assist these professionals, students and myself, during courses, workshops and training sessions. With the growing interest and willingness of others to formalise these (mostly handwritten) notes, I found that I should make the effort myself. The result is this book Waves in Oceanic and Coastal Waters, which provides an introduction to the observation, analysis and prediction of wind-generated waves in the open ocean, in shelf seas and in coastal regions. The title of the book is a little prosaic because I want to focus directly on the subject matter of the book. A more poetic title would be Waves of The Blue Yonder, which would convey better the awe and mystery that I feel when watching waves at sea, wondering where they come from and what they have seen on their journey across the oceans. The cover photo illustrates this feeling beautifully.

Understanding the text of the book requires some basic knowledge of physics, mathematics and statistics. The text on observing waves (Chapter 2) is descriptive; no mathematics or statistics is used. Understanding the text on describing ocean waves (Chapters 3 and 4) does require some knowledge of mathematics and statistics, since concepts of analytical integration and probabilities are used. The text on the linear theory of surface gravity waves (Chapters 5 and 7) and the text on modelling wind-generated waves (Chapters 6 and 8) rely heavily on the concepts of conservation of mass, momentum and energy. Therefore, some background in physics is needed. These concepts are expressed with partial differential equations, so some background in mathematics is also needed. Finally, the book ends in Chapter 9 with a description of the fundamentals of SWAN (both its physical principles and numerical techniques).

I first treat waves in oceanic waters and later in coastal waters. The reason for this separation is both didactic and practical: the physical processes increase in number and complexity as waves move from the ocean into coastal waters. Describing waves in the oceans therefore gives a good introduction to the more challenging subject of waves in coastal waters. In addition, many readers will be interested only in the ocean environment and need not be bothered with the coastal environment.

I am well aware that many formulations in this book can be written in vector or complex notation. Such notation would make for compact reading for those who are familiar with it. However, students who are not familiar with it would not readily absorb the material presented, so I have chosen not to use it. With a few exceptions, I have written in terms of components rather than vectors and real quantities rather than complex quantities. Concerning the references in the book: I have used a fair number of these, to (a) refer to specific information, (b) indicate where issues are being discussed and (c) refer to books and articles for further reading. I have not tried to be complete in this. That would be nearly impossible, if only because of the continual appearance of new publications. Moreover, any subject is accessible on the Internet, which is completely up to date, including electronic versions of scientific and engineering journals.

If this book helps professionals to enjoy their work more, students to pursue their interest in waves and others to look at waves with an informed eye, it has more than served its purpose.

L. H. Holthuijsen, Delft



Acknowledgements

I was supported in writing this book by three close friends and colleagues: Luigi Cavaleri of the Istituto di Scienze Marine in Venice (Italy), whom I visited so often (memories of Venice waking up in the early morning sunlight, when it is still a cool and quiet place); Masataka Yamaguchi of the Ehime University in Matsuyama (Japan), who introduced me to the many charms of Japan (memories of the mountains and quiet villages along the rugged Pacific coast of his home island Shikoku); and Nico Booij, with whom I shared, almost daily, my professional enthusiasm, ideas and dreams in such diverse places as Delft, Reykjavik and Beijing. They read the book from cover to cover (and back, more than once) and they gave their comments and suggestions freely. This was not a trivial effort. They saved me from embarrassing errors and helped achieve a balance between scope, reliability and accessibility on the one hand and detail, accuracy and formalism on the other. I am very grateful to them and I am proud that they are my friends, and have been for 25 years now. I also want to thank Linwood Vincent of the US Office of Naval Research, whose inspiring words encouraged me to write this book.

In addition, I have had the privilege to be assisted by several colleagues with specific information, in particular on the subject of wave statistics: Akira Kimura of the University of Tottori, Japan; Evert Bouws and Sofia Caires of the Royal Netherlands Meteorological Institute; Ulla Machado of Oceanor, Norway; Sverre Haver of Statoil, Norway; Agnieszka Herman of the Lower Saxonian Central State Board for Ecology in Norderney, Germany; and Pieter van Gelder, André van der Westhuysen and Marcel Zijlema of the Delft University of Technology. Mrs. Paula Delhez and her colleagues of the Delft University Library helped me find the references in this book. I am very grateful to all of them because their help greatly improved the quality of the book. Still, any errors that are left (and fate dictates that some will be) are wholly mine.

In the book I have used data provided by the Royal Netherlands Meteorological Institute (the Netherlands), Fugro Oceanor AS (Norway), the National Oceanic and Atmospheric Administration (USA) and Statoil Norge AS (Norway). I am grateful for their permission to use these data (further acknowledgements are given in the text). I am also grateful to the copyright holders for permission to use the figures listed below.

Datawell, the Netherlands: Fig. .
Institute of Marine Sciences, Italy: Fig. .
Det Norske Veritas, Norway: Fig. .
American Society of Civil Engineers, USA: Fig. .
Royal Society of London, UK: Fig. .
Springer Science and Business Media, Germany: Fig. .
World Scientific, Singapore, www.worldscibooks.com/engineering/4064.html: Fig. .
Elsevier, the Netherlands: Figs. and .

I am deeply indebted to Philip Plisson for his gracious permission to use his poetic photo for the cover of the book.

© Cambridge University Press
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