Water Waves: The Mathematical Theory with Applications

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Publisher : Courier Dover Publications
ISBN 13 : 0486839923
Total Pages : 593 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Water Waves: The Mathematical Theory with Applications by : James Johnston Stoker

Download or read book Water Waves: The Mathematical Theory with Applications written by James Johnston Stoker and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.

The Science of Ocean Waves

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Publisher : JHU Press
ISBN 13 : 1421410788
Total Pages : 263 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis The Science of Ocean Waves by : J. B. Zirker

Download or read book The Science of Ocean Waves written by J. B. Zirker and published by JHU Press. This book was released on 2013-12-18 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zirker is that rare animal who can both communicate the most demanding technical detail and make it accessible."--New Scientist

A Modern Introduction to the Mathematical Theory of Water Waves

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521598323
Total Pages : 468 pages
Book Rating : 4.5/5 (983 download)

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Book Synopsis A Modern Introduction to the Mathematical Theory of Water Waves by : Robin Stanley Johnson

Download or read book A Modern Introduction to the Mathematical Theory of Water Waves written by Robin Stanley Johnson and published by Cambridge University Press. This book was released on 1997-10-28 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers classical and modern problems in linear and non-linear water-wave theory.

Numerical Modeling of Explosives and Propellants

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Publisher : CRC Press
ISBN 13 : 142005239X
Total Pages : 539 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Numerical Modeling of Explosives and Propellants by : Charles L. Mader

Download or read book Numerical Modeling of Explosives and Propellants written by Charles L. Mader and published by CRC Press. This book was released on 2007-10-18 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major advances, both in modeling methods and in the computing power required to make those methods viable, have led to major breakthroughs in our ability to model the performance and vulnerability of explosives and propellants. In addition, the development of proton radiography during the last decade has provided researchers with a major new experimental tool for studying explosive and shock wave physics. Problems that were once considered intractable – such as the generation of water cavities, jets, and stems by explosives and projectiles – have now been solved. Numerical Modeling of Explosives and Propellants, Third Edition provides a complete overview of this rapidly emerging field, covering basic reactive fluid dynamics as well as the latest and most complex methods and findings. It also describes and evaluates Russian contributions to the experimental explosive physics database, which only recently have become available. This book comes with downloadable resources that contain— · FORTRAN and executable computer codes that operate under Microsoft® Windows Vista operating system and the OS X operating system for Apple computers · Windows Vista and MAC compatible movies and PowerPoint presentations for each chapter · Explosive and shock wave databases generated at the Los Alamos National Laboratory and the Russian Federal Nuclear Centers Charles Mader’s three-pronged approach – through text, computer programs, and animations – imparts a thorough understanding of new computational methods and experimental measuring techniques, while also providing the tools to put these methods to effective use.

Nonlinear Water Waves

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Publisher : Birkhäuser
ISBN 13 : 9783030335359
Total Pages : 218 pages
Book Rating : 4.3/5 (353 download)

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Book Synopsis Nonlinear Water Waves by : David Henry

Download or read book Nonlinear Water Waves written by David Henry and published by Birkhäuser. This book was released on 2019-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.

Swell

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Publisher : Chronicle Books
ISBN 13 : 1452105936
Total Pages : 148 pages
Book Rating : 4.4/5 (521 download)

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Book Synopsis Swell by : Evan Slater

Download or read book Swell written by Evan Slater and published by Chronicle Books. This book was released on 2012-05-09 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave watchers around the world know that no two waves are the same. Yet each and every wave that rises, peaks, and crashes onto the beach is generated by a much larger force originating thousands of miles away. Surf journalist team Evan Slater and Peter Taras capture the essence of waves and the swells that produce them in this breathtaking collection of wave photography. Slater characterizes four distinct swells from different corners of the globe and traces their journeys throughout the year from storm to seashore. His reflective, informative essays amplify these powerful images of hundreds of waves frozen in time, beautiful, simple, universal, yet wholly unique—and the best thing to watch on the planet.

Numerical Modeling of Water Waves

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Publisher : CRC Press
ISBN 13 : 0203937759
Total Pages : 499 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Numerical Modeling of Water Waves by : Pengzhi Lin

Download or read book Numerical Modeling of Water Waves written by Pengzhi Lin and published by CRC Press. This book was released on 2008-04-30 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. Wave modelling can be viewed as an extension of wave theory, a mature and widely published field, applied to practical engineering through the use of computer tools. Information about the various wave models which have been developed is often widely scattered in the literature, and consequently this is one of the first books devoted to wave models and their applications. At the core of the book is an introduction to various types of wave models. For each model, the theoretical assumptions, the application range, and the advantages and limitations are elaborated. The combined use of different wave models from large-scale to local-scale is highlighted with a detailed discussion of the application and matching of boundary conditions. At the same time the book provides a grounding in hydrodynamics, wave theory, and numerical methods which underlie wave modelling. It presents the theoretical background and also shows how to use these models for achieving different engineering tasks, illustrated and reinforced with case study examples.

Water Wave Scattering

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Publisher : CRC Press
ISBN 13 : 1498705537
Total Pages : 376 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Water Wave Scattering by : Birendra Nath Mandal

Download or read book Water Wave Scattering written by Birendra Nath Mandal and published by CRC Press. This book was released on 2015-05-21 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interest to ocean engineers. Unfortunately, even the apparently simple problems appear to be difficult to tackle mathematically unless some simplified assumptions are made. Fortunately, one can assume water to be an incompressible, in viscid and homogeneous fluid. The linearised theory of water waves is based on the assumption that the amplitude of the motion is small compared to the wave length. If rotational motion is assumed, then the linearised theory of water waves is essentially concerned with solving the Laplace equation in the water region together with linearised boundary condition. There are varied classes of problems that have been/are being studied mathematically in the literature within the framework of linearised theory of water waves for last many years. Scattering by obstacles of various geometrical configurations is one such class of water wave problems. This book is devoted to advanced mathematical work related to water wave scattering. Emphasis is laid on the mathematical and computational techniques required to study these problems mathematically. The book contains nine chapters. The first chapter is introductory in nature. It includes the basic equations of linearised theory for a single layer fluid, a two-layer fluid, solution of dispersion equations, and a general idea on scattering problems and the energy identity in water with a free surface. Chapter 2 is concerned with wave scattering involving thin rigid plates of various geometrical configurations, namely, plane vertical barriers or curved barriers, inclined barriers, horizontal barrier, and also thin elastic vertical plate. For the horizontal case, the barrier is submerged below an ice-cover modelled as a thin elastic plate floating on water. Chapter 3 discusses wave scattering by a rectangular trench by using Galerkin technique. Chapter 4 involves wave scattering by a dock by using Carleman singular integral equation followed by reduction to Riemann-Hilbert problems. Chapter 5 involves several wave scattering problems involving discontinuities at the upper surface of water by using the Wiener-Hopf technique, by reduction to Carleman singular integral equations. Chapter 6 considers scattering by a long horizontal circular cylinder either half immersed or completely submerged. In chapter 7, some important energy identities are derived for scattering problems in a single-layer and also in a two-layer fluid. Chapter 8 is concerned with wave scattering in a two-layer fluid by a thin vertical plate and by a long horizontal circular cylinder submerged in either of the two layers. Chapter 9 is the final chapter which considers a number of wave scattering problems in a single-layer or a two-layer fluid with variable bottom topography by using a simplified perturbation analysis It is hoped that this book will be useful to researchers on water waves. The several wave scattering problems presented in the book are mostly based on the research work carried out by the authors and their associates.

Numerical Simulation of Water Waves

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Author :
Publisher : Springer
ISBN 13 : 9789811528439
Total Pages : 482 pages
Book Rating : 4.5/5 (284 download)

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Book Synopsis Numerical Simulation of Water Waves by : Jianhua Tao

Download or read book Numerical Simulation of Water Waves written by Jianhua Tao and published by Springer. This book was released on 2021-03-31 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the numerical simulation of water waves, which combines mathematical theories and modern techniques of numerical simulation to solve the problems associated with waves in coastal, ocean, and environmental engineering. Bridging the gap between practical mathematics and engineering, the book describes wave mechanics, establishment of mathematical wave models, modern numerical simulation techniques, and applications of numerical models in engineering. It also explores environmental issues related to water waves in coastal regions, such as pollutant and sediment transport, and introduces numerical wave flumes and wave basins. The material is self-contained, with numerous illustrations and tables, and most of the mathematical and engineering concepts are presented or derived in the text. The book is intended for researchers, graduate students and engineers in the fields of hydraulic, coastal, ocean and environmental engineering with a background in fluid mechanics and numerical simulation methods.

Water Wave Mechanics for Engineers and Scientists

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Publisher : Springer Science & Business
ISBN 13 : 9789810204211
Total Pages : 376 pages
Book Rating : 4.2/5 (42 download)

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Book Synopsis Water Wave Mechanics for Engineers and Scientists by : Robert George Dean

Download or read book Water Wave Mechanics for Engineers and Scientists written by Robert George Dean and published by Springer Science & Business. This book was released on 1991 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to classical water wave theory for college seniors or first-year graduate students. Almost all the necessary mathematical and engineering concepts are either presented or derived in the text, making it also useful as a reference for practicing engineers. Paper edition (0421-3), $28. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR

PIV and Water Waves

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Publisher : World Scientific
ISBN 13 : 9814482358
Total Pages : 352 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis PIV and Water Waves by : John Grue

Download or read book PIV and Water Waves written by John Grue and published by World Scientific. This book was released on 2004-10-25 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces particle image velocimetry (PIV), a technique for water wave measurement in the laboratory and in the open ocean. It discusses the turbulent dissipation, Reynolds stresses and vortical structures in boundary layers of the sea bed, as well as ships, ship wakes, propulsion hydrodynamics, cavitation and free surface waves. Upwelling behind crests of micro-breaking ocean surface waves (important for the exchange of greenhouse gases between air and water) and large amplitude internal solitons in the ocean are measured. The book includes velocities and accelerations in breaking ocean waves, run-up, interaction between strong waves and breakwaters, as well as a concise description of the state-of-the-art PIV technique. This book has its origins in a meeting on PIV and water waves which was held in Cambridge in 2002. The main body of the book consists of six overview or in-depth articles by invited authors who are specialists in their respective fields, as well as practitioners of PIV. A complete set of abstracts from the meeting is enclosed. The book is well suited for scientists who want to acquaint themselves with current experimental hydrodynamics, as well as for researchers and graduate students who are already working in the field or plan to do so. Contents:Quantitative Imaging Techniques and Their Application to Wavy Flows (J K Sveen & E A Cowen)PIV Measurements in the Bottom Boundary Layer of the Coastal Ocean (W A M N Smith et al.)Water Wave Induced Boundary Layer Flows Above a Ripple Bed (P L-F Liu et al.)Ship Velocity Fields (J Longo et al.)The Air–Water Interface: Turbulence and Scalar Exchange (S Banerjee & S Maclntyre)Internal Wave Fields Analyzed by Imaging Velocimetry (J Grue)Wave Breaking, Surface Motion, Surf Zone, Air–Sea Interaction and Wind WavesPIV Methods, Boundary Layer Flows and TurbulenceBreakwaters and Internal Waves Readership: Graduate students, researchers and practitioners in ocean and environmental engineering as well as fluid mechanics. Keywords:PIV;PTV;Water Waves;Boundary Layers;Turbulence;Gas Transfer;LDAKey Features:State-of-the-art overview of PIV applied to water wavesInvited articles, in carefully chosen fields, providing profound insight into the role of PIV in important applicationsUpdated overviews of the PIV method that will benefit newcomers to the field

Extreme Ocean Waves

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Publisher : Springer Science & Business Media
ISBN 13 : 1402083149
Total Pages : 200 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Extreme Ocean Waves by : Efim Pelinovsky

Download or read book Extreme Ocean Waves written by Efim Pelinovsky and published by Springer Science & Business Media. This book was released on 2008-06-27 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ocean! Waves for All

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Publisher : Henry Holt and Company (BYR)
ISBN 13 : 1250788862
Total Pages : 21 pages
Book Rating : 4.2/5 (57 download)

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Book Synopsis Ocean! Waves for All by : Stacy McAnulty

Download or read book Ocean! Waves for All written by Stacy McAnulty and published by Henry Holt and Company (BYR). This book was released on 2020-05-05 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: From writer Stacy McAnulty and illustrator David Litchfield, Ocean! Waves for All is a light-hearted nonfiction picture book about the formation and history of the ocean, told from the perspective of the ocean itself. Dude. Ocean is incredible. Atlantic, Pacific, Artic, Indian, Southern—it's all excellent Ocean! Not part of any nation, his waves are for all. And under those waves, man, he holds so many secrets. With characteristic humor and charm, Stacy McAnulty channels the voice of Ocean in this next "autobiography" in the Our Universe series. Rich with kid-friendly facts and beautifully brought to life by David Litchfield, this is an equally charming and irresistible companion to Earth! My First 4.54 Billion Years; Sun! One in a Billion; and Moon! Earth's Best Friend.

Linear Water Waves

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521808538
Total Pages : 528 pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Linear Water Waves by : Nikolaĭ Germanovich Kuznet︠s︡ov

Download or read book Linear Water Waves written by Nikolaĭ Germanovich Kuznet︠s︡ov and published by Cambridge University Press. This book was released on 2002-07-11 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'

Numerical Simulation of Water Waves

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Author :
Publisher : Springer Nature
ISBN 13 : 9811528411
Total Pages : 482 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Numerical Simulation of Water Waves by : Jianhua Tao

Download or read book Numerical Simulation of Water Waves written by Jianhua Tao and published by Springer Nature. This book was released on 2020-03-30 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the numerical simulation of water waves, which combines mathematical theories and modern techniques of numerical simulation to solve the problems associated with waves in coastal, ocean, and environmental engineering. Bridging the gap between practical mathematics and engineering, the book describes wave mechanics, establishment of mathematical wave models, modern numerical simulation techniques, and applications of numerical models in engineering. It also explores environmental issues related to water waves in coastal regions, such as pollutant and sediment transport, and introduces numerical wave flumes and wave basins. The material is self-contained, with numerous illustrations and tables, and most of the mathematical and engineering concepts are presented or derived in the text. The book is intended for researchers, graduate students and engineers in the fields of hydraulic, coastal, ocean and environmental engineering with a background in fluid mechanics and numerical simulation methods.

Lectures on the Theory of Water Waves

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107565561
Total Pages : 299 pages
Book Rating : 4.1/5 (75 download)

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Book Synopsis Lectures on the Theory of Water Waves by : Thomas J. Bridges

Download or read book Lectures on the Theory of Water Waves written by Thomas J. Bridges and published by Cambridge University Press. This book was released on 2016-02-04 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

Advances in Numerical Simulation of Nonlinear Water Waves

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Publisher : World Scientific
ISBN 13 : 9812836500
Total Pages : 700 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advances in Numerical Simulation of Nonlinear Water Waves by : Qingwei Ma

Download or read book Advances in Numerical Simulation of Nonlinear Water Waves written by Qingwei Ma and published by World Scientific. This book was released on 2010 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ch. 1. Model for fully nonlinear ocean wave simulations derived using Fourier inversion of integral equations in 3D / J. Grue and D. Fructus -- ch. 2. Two-dimensional direct numerical simulations of the dynamics of rogue waves under wind action / J. Touboul and C. Kharif -- ch. 3. Progress in fully nonlinear potential flow modeling of 3D extreme ocean waves / S.T. Grilli [und weitere] -- ch. 4. Time domain simulation of nonlinear water waves using spectral methods / F. Bonnefoy [und weitere] -- ch. 5. QALE-FEM method and its application to the simulation of free-responses of floating bodies and overturning waves / Q.W. Ma and S. Yan -- ch. 6. Velocity calculation methods in finite element based MEL formulation / V. Sriram, S.A. Sannasiraj and V. Sundar -- ch. 7. High-order Boussinesq-type modelling of nonlinear wave phenomena in deep and shallow water / P.A. Madsen and D.R. Fuhrman -- ch. 8. Inter-comparisons of different forms of higher-order Boussinesq equations / Z.L. Zou, K.Z. Fang and Z.B. Liu -- ch. 9. Method of fundamental solutions for fully nonlinear water waves / D.-L. Young, N.-J. Wu and T.-K. Tsay -- ch. 10. Application of the finite volume method to the simulation of nonlinear water waves / D. Greaves -- ch. 11. Developments in multi-fluid finite volume free surface capturing method / D.M. Causon, C.G. Mingham and L. Qian -- ch. 12. Numerical computation methods for strongly nonlinear wave-body interactions / M. Kashiwagi, C. Hu and M. Sueyoshi -- ch. 13. Smoothed particle hydrodynamics for water waves / R.A. Dalrymple [und weitere] -- ch. 14. Modelling nonlinear water waves with RANS and LES SPH models / R. Issa [und weitere] -- ch. 15. MLPG_R method and Its application to various nonlinear water waves / Q.W. Ma -- ch. 16. Large Eddy simulation of the hydrodynamics generated by breaking waves / P. Lubin and J.-P. Caltagirone -- ch. 17. Recent advances in turbulence modeling for unsteady breaking waves / Q. Zhao and S.W. Armfield -- ch. 18. Freak waves and their interaction with ships and offshore structures / G.F. Clauss