Dispersive Shallow Water Waves

Dispersive Shallow Water Waves

Author: Gayaz Khakimzyanov

Publisher: Springer Nature

Published: 2020-09-15

Total Pages: 296

ISBN-13: 3030462676

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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.


Twenty-Second Symposium on Naval Hydrodynamics

Twenty-Second Symposium on Naval Hydrodynamics

Author: National Research Council

Publisher: National Academies Press

Published: 2000-03-02

Total Pages: 1039

ISBN-13: 0309065372

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The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.


Physics of Solitons

Physics of Solitons

Author: Thierry Dauxois

Publisher: Cambridge University Press

Published: 2006-03-09

Total Pages: 435

ISBN-13: 0521854210

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This textbook gives an instructive view of solitons and their applications for advanced students of physics.


Waves in Fluids

Waves in Fluids

Author: Sir M. J. Lighthill

Publisher: Cambridge University Press

Published: 2001-11-15

Total Pages: 528

ISBN-13: 9780521010450

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A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.


The Water Waves Problem

The Water Waves Problem

Author: David Lannes

Publisher: American Mathematical Soc.

Published: 2013-05-08

Total Pages: 347

ISBN-13: 0821894706

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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

Water Waves and Ship Hydrodynamics

Author: A.J. Hermans

Publisher: Springer Science & Business Media

Published: 2010-10-21

Total Pages: 177

ISBN-13: 9400700962

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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.


Water Waves and Ship Hydrodynamics

Water Waves and Ship Hydrodynamics

Author: R. Timman

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 151

ISBN-13: 940173657X

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In the spring of 1971, Reinier Tirnrnan visited the University of Delaware during which time he gave a series of lectures on water waves from which these notes grew. Those of us privi leged to be present during that time will never forget the experience. Rein Tirnrnan is not easily forgotten. His seemingly inexhaustible energy completely overwhelmed us. Who could forget the numbing effect of a succession of long wine filled evenings of lively conversation on literature, politics, education, you name it, followed early the next day by the appearance of the apparently totally refreshed red haired giant eager to discuss our mathematical problems with keen insight en remarkable understanding, ready to lecture on fluid mechanics or optimal control theory or a host of other subjects and ready to work into the evening until the cycle repeated. He thought faster, he knew more, he drank more and he slept less than any of us mortals and he literally wore us out. What a rare privilege indeed to have participated in this intellectual orgy. Tirnrnan's lively interest in almost every thing coupled with his buoyant enthusiasm and infectious op timism epitomized his approach to life. No delicate nibbling at the fringes, he wanted every morsel of every course. In these times of narrow specialization truly renaissance figures are, if not extinct, at least a highly endangered species. But Tirnrnan was one of that rare breed.


Numerical Simulation of Water Waves

Numerical Simulation of Water Waves

Author: Jianhua Tao

Publisher: Springer Nature

Published: 2020-03-30

Total Pages: 495

ISBN-13: 9811528411

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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

Water Wave Mechanics For Engineers And Scientists

Author: Robert G Dean

Publisher: World Scientific Publishing Company

Published: 1991-01-23

Total Pages: 369

ISBN-13: 9814365696

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This book is intended as an introduction to classical water wave theory for the college senior or first year graduate student. The material is self-contained; almost all mathematical and engineering concepts are presented or derived in the text, thus making the book accessible to practicing engineers as well.The book commences with a review of fluid mechanics and basic vector concepts. The formulation and solution of the governing boundary value problem for small amplitude waves are developed and the kinematic and pressure fields for short and long waves are explored. The transformation of waves due to variations in depth and their interactions with structures are derived. Wavemaker theories and the statistics of ocean waves are reviewed. The application of the water particle motions and pressure fields are applied to the calculation of wave forces on small and large objects. Extension of the linear theory results to several nonlinear wave properties is presented. Each chapter concludes with a set of homework problems exercising and sometimes extending the material presented in the chapter. An appendix provides a description of nine experiments which can be performed, with little additional equipment, in most wave tank facilities.