Dispersive Shallow Water Waves

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Dispersive Shallow Water Waves

Author : Gayaz Khakimzyanov
Publisher : Springer Nature
ISBN 13 : 3030462676
Total Pages : 296 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Dispersive Shallow Water Waves by : Gayaz Khakimzyanov

Download or read book Dispersive Shallow Water Waves written by Gayaz Khakimzyanov and published by Springer Nature. This book was released on 2020-09-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.

The Water Waves Problem

Author : David Lannes
Publisher : American Mathematical Soc.
ISBN 13 : 0821894706
Total Pages : 347 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Water Waves Problem by : David Lannes

Download or read book The Water Waves Problem written by David Lannes and published by American Mathematical Soc.. This book was released on 2013-05-08 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.

Water Waves and Ship Hydrodynamics

Author : A.J. Hermans
Publisher : Springer Science & Business Media
ISBN 13 : 9400700962
Total Pages : 169 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Water Waves and Ship Hydrodynamics by : A.J. Hermans

Download or read book Water Waves and Ship Hydrodynamics written by A.J. Hermans and published by Springer Science & Business Media. This book was released on 2010-10-21 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book an introduction is given to aspects of water waves that play a role in ship hydrodynamics and offshore engineering. At first the equations and linearized boundary conditions are derived describing the non-viscous free surface water waves, with special attention to the combination of steady and non-steady flow fields. Then some simple kinds of free wave solutions are derived, such as plane waves and cylindrical waves. For several situations, steady and unsteady, the source singularity function is derived. These functions play a role in numerical codes used to describe the motion of ships and offshore structures. These codes are mostly based on a boundary integral formulation; therefore we give an introduction to these methods. It is shown how first order ship motions can be determined. In offshore engineering the second order wave drift motions play an important role. An introduction to this phenomenon is given and the effects which have to be taken into account are explained by means of a simple example where we can determine nearly all the aspects analytically. An interesting example that is worked out is the motion of very large floating flexible platforms with finite draft. Finally an introduction to the theory of shallow water non-linear dispersive waves is presented, and shallow water ship hydrodynamics, that plays a role in coastal areas and channels is treated. Here attention is paid to the interaction between passing ships in restricted water. In the appendix a short introduction to some of the mathematical tools is given.

Introduction to Water Waves

Author : Gordon David Crapper
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Introduction to Water Waves by : Gordon David Crapper

Download or read book Introduction to Water Waves written by Gordon David Crapper and published by . This book was released on 1984 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Extreme Ocean Waves

Author : Efim Pelinovsky
Publisher : Springer
ISBN 13 : 3319215752
Total Pages : 236 pages
Book Rating : 4.3/5 (192 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. This book was released on 2015-09-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated second edition 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 rogue waves due to modulational instability of nonlinear wave field, physical and statistical properties of extreme ocean wave generation in deep water as well as in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between in situ observations, experimental data and rogue wave theories. In addition, recent results on tsunami waves due to subaerial landslides are presented. This 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.

Shallow Water Waves on the Rotating Earth

Author : Nathan Paldor
Publisher : Springer
ISBN 13 : 3319202618
Total Pages : 77 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Shallow Water Waves on the Rotating Earth by : Nathan Paldor

Download or read book Shallow Water Waves on the Rotating Earth written by Nathan Paldor and published by Springer. This book was released on 2015-08-12 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes new theoretical advances concerning analytical solutions of the Rotating Shallow Water Equations, which will make it of great interest to graduate students and scientists in the fields of Geophysical Fluid Dynamics, Physical Oceanography, Dynamical Meteorology and Applied Mathematics. The new dispersion relations and meridional amplitude variations of waves derived in this book can be applied to observations in the atmosphere and ocean and also provide alternatives to the Spherical Harmonics basis of global-scale spectral numerical models.

Numerical Simulation of Water Waves

Author : Jianhua Tao
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.

Water Wave Propagation Over Uneven Bottoms: Linear wave propagation

Author : Maarten W. Dingemans
Publisher : World Scientific
ISBN 13 : 9789810239947
Total Pages : 508 pages
Book Rating : 4.2/5 (399 download)

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Book Synopsis Water Wave Propagation Over Uneven Bottoms: Linear wave propagation by : Maarten W. Dingemans

Download or read book Water Wave Propagation Over Uneven Bottoms: Linear wave propagation written by Maarten W. Dingemans and published by World Scientific. This book was released on 2000 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Water Wave Propagation Over Uneven Bottoms

Author : Maarten W Dingemans
Publisher : World Scientific
ISBN 13 : 9814506583
Total Pages : 1016 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Water Wave Propagation Over Uneven Bottoms by : Maarten W Dingemans

Download or read book Water Wave Propagation Over Uneven Bottoms written by Maarten W Dingemans and published by World Scientific. This book was released on 1997-01-07 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this book is to provide a review of techniques available for the problems of wave propagation in regions with uneven beds as they are encountered in coastal areas. The view taken is that the techniques should be useful for application in advisory practice. However, effort is put into a precise definition of the underlying physical principles, so that the validity of the methods used can be evaluated. Both linear and nonlinear wave propagation techniques are discussed. Because of its length, the book comes in two parts: Part 1 covers primarily linear wave propagation, and Part 2 covers nonlinear wave propagation. Contents: Basic EquationsWave Propagation FormulationThe Mild-Slope EquationPractical Aspects of Linear Wave Propagation ModelsBoussinesq-Type Models for Uneven BottomsKdV-Type ModelsHarmonic GenerationNonlinear Wave Propagation of Stokes' Waves over Uneven Bottoms keywords:

Nonlinear Dispersive Waves

Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 1139503480
Total Pages : 363 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Nonlinear Dispersive Waves by : Mark J. Ablowitz

Download or read book Nonlinear Dispersive Waves written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 2011-09-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.

Water Waves Generated by Underwater Explosion

Author : Bernard Le Mehaute
Publisher : World Scientific
ISBN 13 : 9789810220839
Total Pages : 398 pages
Book Rating : 4.2/5 (28 download)

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Book Synopsis Water Waves Generated by Underwater Explosion by : Bernard Le Mehaute

Download or read book Water Waves Generated by Underwater Explosion written by Bernard Le Mehaute and published by World Scientific. This book was released on 1996 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on explosion-generated water waves. It presents the theoretical foundations and experimental results of the generation and propagation of impulsively generated waves resulting from underwater explosions. Many of the theories and concepts presented herein are applicable to other types of water waves, in particular, tsunamis and waves generated by the fall of a meteorite. Linear and nonlinear theories, as well as experimental calibrations, are presented for cases of deep and shallow water explosions. Propagation of transient waves on dissipative, nonuniform bathymetries together with laboratory simulations are analyzed and discussed.

The Interaction of Ocean Waves and Wind

Author : Peter Janssen
Publisher : Cambridge University Press
ISBN 13 : 0521465400
Total Pages : 310 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis The Interaction of Ocean Waves and Wind by : Peter Janssen

Download or read book The Interaction of Ocean Waves and Wind written by Peter Janssen and published by Cambridge University Press. This book was released on 2004-10-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was published in 2004. The Interaction of Ocean Waves and Wind describes in detail the two-way interaction between wind and ocean waves and shows how ocean waves affect weather forecasting on timescales of 5 to 90 days. Winds generate ocean waves, but at the same time airflow is modified due to the loss of energy and momentum to the waves; thus, momentum loss from the atmosphere to the ocean depends on the state of the waves. This volume discusses ocean wave evolution according to the energy balance equation. An extensive overview of nonlinear transfer is given, and as a by-product the role of four-wave interactions in the generation of extreme events, such as freak waves, is discussed. Effects on ocean circulation are described. Coupled ocean-wave, atmosphere modelling gives improved weather and wave forecasts. This volume will interest ocean wave modellers, physicists and applied mathematicians, and engineers interested in shipping and coastal protection.

Elasticity and Fluid Dynamics: Volume 3 of Modern Classical Physics

Author : Kip S. Thorne
Publisher : Princeton University Press
ISBN 13 : 069121557X
Total Pages : 480 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Elasticity and Fluid Dynamics: Volume 3 of Modern Classical Physics by : Kip S. Thorne

Download or read book Elasticity and Fluid Dynamics: Volume 3 of Modern Classical Physics written by Kip S. Thorne and published by Princeton University Press. This book was released on 2021-05-25 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking textbook on twenty-first-century fluids and elastic solids and their applications Kip Thorne and Roger Blandford’s monumental Modern Classical Physics is now available in five stand-alone volumes that make ideal textbooks for individual graduate or advanced undergraduate courses on statistical physics; optics; elasticity and fluid dynamics; plasma physics; and relativity and cosmology. Each volume teaches the fundamental concepts, emphasizes modern, real-world applications, and gives students a physical and intuitive understanding of the subject. Elasticity and Fluid Dynamics provides an essential introduction to these subjects. Fluids and elastic solids are everywhere—from Earth’s crust and skyscrapers to ocean currents and airplanes. They are central to modern physics, astrophysics, the Earth sciences, biophysics, medicine, chemistry, engineering, and technology, and this centrality has intensified in recent years—so much so that a basic understanding of the behavior of elastic solids and fluids should be part of the repertoire of every physicist and engineer and almost every other natural scientist. While both elasticity and fluid dynamics involve continuum physics and use similar mathematical tools and modes of reasoning, each subject can be readily understood without the other, and the book allows them to be taught independently, with the first two chapters introducing and covering elasticity and the last six doing the same for fluid dynamics. The book also can serve as supplementary reading for many other courses, including in astrophysics, geophysics, and aerodynamics. Includes many exercise problems Features color figures, suggestions for further reading, extensive cross-references, and a detailed index Optional “Track 2” sections make this an ideal book for a one-quarter or one-semester course in elasticity, fluid dynamics, or continuum physics An online illustration package is available to professors The five volumes, which are available individually as paperbacks and ebooks, are Statistical Physics; Optics; Elasticity and Fluid Dynamics; Plasma Physics; and Relativity and Cosmology.

Modern Classical Physics

Author : Kip S. Thorne
Publisher : Princeton University Press
ISBN 13 : 0691159025
Total Pages : 1551 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Modern Classical Physics by : Kip S. Thorne

Download or read book Modern Classical Physics written by Kip S. Thorne and published by Princeton University Press. This book was released on 2017-09-05 with total page 1551 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking text and reference book on twenty-first-century classical physics and its applications This first-year graduate-level text and reference book covers the fundamental concepts and twenty-first-century applications of six major areas of classical physics that every masters- or PhD-level physicist should be exposed to, but often isn't: statistical physics, optics (waves of all sorts), elastodynamics, fluid mechanics, plasma physics, and special and general relativity and cosmology. Growing out of a full-year course that the eminent researchers Kip Thorne and Roger Blandford taught at Caltech for almost three decades, this book is designed to broaden the training of physicists. Its six main topical sections are also designed so they can be used in separate courses, and the book provides an invaluable reference for researchers. Presents all the major fields of classical physics except three prerequisites: classical mechanics, electromagnetism, and elementary thermodynamics Elucidates the interconnections between diverse fields and explains their shared concepts and tools Focuses on fundamental concepts and modern, real-world applications Takes applications from fundamental, experimental, and applied physics; astrophysics and cosmology; geophysics, oceanography, and meteorology; biophysics and chemical physics; engineering and optical science and technology; and information science and technology Emphasizes the quantum roots of classical physics and how to use quantum techniques to elucidate classical concepts or simplify classical calculations Features hundreds of color figures, some five hundred exercises, extensive cross-references, and a detailed index An online illustration package is available

Nonlinear Dispersive Wave Systems

Author : Lokenath Debnath
Publisher : World Scientific
ISBN 13 : 9814554960
Total Pages : 683 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear Dispersive Wave Systems by : Lokenath Debnath

Download or read book Nonlinear Dispersive Wave Systems written by Lokenath Debnath and published by World Scientific. This book was released on 1992-09-09 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together a comprehensive account of major developments in the theory and applications of nonlinear dispersive waves, nonlinear water waves, KdV and nonlinear Schrodinger equations, Davey-Stewartson equation, Benjamin-Ono equation and nonlinear instability phenomena. In order to give the book a wider readership, chapters have been written by internationally known researchers who have made significant contributions to nonlinear waves and nonlinear instability. This volume will be invaluable to applied mathematicians, physicists, geophysicists, oceanographers, engineering scientists, and to anyone interested in nonlinear dynamics.

Geophysical Waves and Flows

Author : David E. Loper
Publisher : Cambridge University Press
ISBN 13 : 1316946797
Total Pages : 521 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Geophysical Waves and Flows by : David E. Loper

Download or read book Geophysical Waves and Flows written by David E. Loper and published by Cambridge University Press. This book was released on 2017-10-26 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves and flows are pervasive on and within Earth. This book presents a unified physical and mathematical approach to waves and flows in the atmosphere, oceans, rivers, volcanoes and the mantle, emphasizing the common physical principles and mathematical methods that apply to a variety of phenomena and disciplines. It is organized into seven parts: introductory material; kinematics, dynamics and rheology; waves in non-rotating fluids; waves in rotating fluids; non-rotating flows; rotating flows; and silicate flows. The chapters are supplemented by 47 'fundaments', containing knowledge that is fundamental to the material presented in the main text, organized into seven appendices: mathematics; dimensions and units; kinematics; dynamics; thermodynamics; waves; and flows. This book is an ideal reference for graduate students and researchers seeking an introduction to the mathematics of waves and flows in the Earth system, and will serve as a supplementary textbook for a number of courses in geophysical fluid dynamics.

Rogue and Shock Waves in Nonlinear Dispersive Media

Author : Miguel Onorato
Publisher : Springer
ISBN 13 : 331939214X
Total Pages : 370 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Rogue and Shock Waves in Nonlinear Dispersive Media by : Miguel Onorato

Download or read book Rogue and Shock Waves in Nonlinear Dispersive Media written by Miguel Onorato and published by Springer. This book was released on 2016-09-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics. Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment. This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.