Dispersive Shallow Water Waves

Author : Gayaz Khakimzyanov,Denys Dutykh,Zinaida Fedotova,Oleg Gusev
Publisher : Springer Nature
Page : 296 pages
File Size : 47,9 Mb
Release : 2020-09-15
Category : Mathematics
ISBN : 9783030462673

Get Book

Dispersive Shallow Water Waves by Gayaz Khakimzyanov,Denys Dutykh,Zinaida Fedotova,Oleg Gusev Pdf

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.

Author : David Lannes
Publisher : American Mathematical Soc.
Page : 347 pages
File Size : 51,7 Mb
Release : 2013-05-08
Category : Mathematics
ISBN : 9780821894705

Get Book

The Water Waves Problem by David Lannes Pdf

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.

Author : A.J. Hermans
Publisher : Springer Science & Business Media
Page : 177 pages
File Size : 40,9 Mb
Release : 2010-10-21
Category : Technology & Engineering
ISBN : 9789400700963

Get Book

Water Waves and Ship Hydrodynamics by A.J. Hermans Pdf

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.

Author : Gordon David Crapper
Publisher : Unknown
Page : 232 pages
File Size : 49,5 Mb
Release : 1984
Category : Water waves
ISBN : UCSD:31822002096550

Get Book

Introduction to Water Waves by Gordon David Crapper Pdf

Author : Efim Pelinovsky,Christian Kharif
Publisher : Springer
Page : 236 pages
File Size : 55,8 Mb
Release : 2015-09-02
Category : Science
ISBN : 9783319215754

Get Book

Extreme Ocean Waves by Efim Pelinovsky,Christian Kharif Pdf

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.

Author : Nathan Paldor
Publisher : Springer
Page : 77 pages
File Size : 44,5 Mb
Release : 2015-08-12
Category : Science
ISBN : 9783319202617

Get Book

Shallow Water Waves on the Rotating Earth by Nathan Paldor Pdf

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.

Author : National Research Council,Naval Surface Warfare Center, Carderock Division,Office of Naval Research,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Naval Studies Board
Publisher : National Academies Press
Page : 1039 pages
File Size : 55,5 Mb
Release : 2000-03-02
Category : Science
ISBN : 9780309065375

Get Book

Twenty-Second Symposium on Naval Hydrodynamics by National Research Council,Naval Surface Warfare Center, Carderock Division,Office of Naval Research,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Naval Studies Board Pdf

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.

Author : Maarten W. Dingemans
Publisher : World Scientific
Page : 508 pages
File Size : 53,8 Mb
Release : 2000
Category : Technology & Engineering
ISBN : 9810239947

Get Book

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

Author : Jianhua Tao
Publisher : Springer Nature
Page : 482 pages
File Size : 55,9 Mb
Release : 2020-03-30
Category : Technology & Engineering
ISBN : 9789811528415

Get Book

Numerical Simulation of Water Waves by Jianhua Tao Pdf

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.

Author : Maarten W Dingemans
Publisher : World Scientific
Page : 1016 pages
File Size : 40,8 Mb
Release : 1997-01-07
Category : Technology & Engineering
ISBN : 9789814506588

Get Book

Water Wave Propagation Over Uneven Bottoms by Maarten W Dingemans Pdf

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:

Author : Mark J. Ablowitz
Publisher : Cambridge University Press
Page : 363 pages
File Size : 48,6 Mb
Release : 2011-09-08
Category : Mathematics
ISBN : 9781139503488

Get Book

Nonlinear Dispersive Waves by Mark J. Ablowitz Pdf

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.

Author : Bernard Le Mehaute,Shen Wang
Publisher : World Scientific
Page : 398 pages
File Size : 49,6 Mb
Release : 1996
Category : Science
ISBN : 9810220839

Get Book

Water Waves Generated by Underwater Explosion by Bernard Le Mehaute,Shen Wang Pdf

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.

Author : Sir M. J. Lighthill,James Lighthill
Publisher : Cambridge University Press
Page : 528 pages
File Size : 53,7 Mb
Release : 2001-11-15
Category : Mathematics
ISBN : 0521010454

Get Book

Waves in Fluids by Sir M. J. Lighthill,James Lighthill Pdf

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.

Author : Thierry Dauxois,Michel Peyrard
Publisher : Cambridge University Press
Page : 435 pages
File Size : 44,8 Mb
Release : 2006-03-09
Category : Mathematics
ISBN : 9780521854214

Get Book

Physics of Solitons by Thierry Dauxois,Michel Peyrard Pdf

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

Author : Peter Janssen
Publisher : Cambridge University Press
Page : 310 pages
File Size : 52,8 Mb
Release : 2004-10-28
Category : Science
ISBN : 9780521465403

Get Book

The Interaction of Ocean Waves and Wind by Peter Janssen Pdf

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.