Linear and Nonlinear Water Waves on Water with Variable Depth

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Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Linear and Nonlinear Water Waves on Water with Variable Depth by : Yue Tang

Download or read book Linear and Nonlinear Water Waves on Water with Variable Depth written by Yue Tang and published by . This book was released on 1994 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Waves on Water of Variable Depth

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Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Waves on Water of Variable Depth by : Australian Academy of Science

Download or read book Waves on Water of Variable Depth written by Australian Academy of Science and published by . This book was released on 1977 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Water Waves

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Publisher : Springer Nature
ISBN 13 : 3030335364
Total Pages : 218 pages
Book Rating : 4.0/5 (33 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 Springer Nature. This book was released on 2019-11-27 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.

A Modern Introduction to the Mathematical Theory of Water Waves

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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.

The Propagation of Nonlinear Water Waves Over Variable Depth with Shear Flow

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Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (57 download)

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Book Synopsis The Propagation of Nonlinear Water Waves Over Variable Depth with Shear Flow by : Wantana Panupintu

Download or read book The Propagation of Nonlinear Water Waves Over Variable Depth with Shear Flow written by Wantana Panupintu and published by . This book was released on 2002 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis

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Publisher : SIAM
ISBN 13 : 9781611971873
Total Pages : 333 pages
Book Rating : 4.9/5 (718 download)

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Book Synopsis Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis by : Adrian Constantin

Download or read book Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis written by Adrian Constantin and published by SIAM. This book was released on 2011-01-01 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.

Physics of Nonlinear Waves

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681737132
Total Pages : 255 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Physics of Nonlinear Waves by : Mitsuhiro Tanaka

Download or read book Physics of Nonlinear Waves written by Mitsuhiro Tanaka and published by Morgan & Claypool Publishers. This book was released on 2019-12-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book about nonlinear waves. It focuses on two properties that various different wave phenomena have in common, the "nonlinearity" and "dispersion", and explains them in a style that is easy to understand for first-time students. Both of these properties have important effects on wave phenomena. Nonlinearity, for example, makes the wave lean forward and leads to wave breaking, or enables waves with different wavenumber and frequency to interact with each other and exchange their energies. Dispersion, for example, sorts irregular waves containing various wavelengths into gentler wavetrains with almost uniform wavelengths as they propagate, or cause a difference between the propagation speeds of the wave waveform and the wave energy. Many phenomena are introduced and explained using water waves as an example, but this is just a tool to make it easier to draw physical images. Most of the phenomena introduced in this book are common to all nonlinear and dispersive waves. This book focuses on understanding the physical aspects of wave phenomena, and requires very little mathematical knowledge. The necessary minimum knowledges about Fourier analysis, perturbation method, dimensional analysis, the governing equations of water waves, etc. are provided in the text and appendices, so even second- or third-year undergraduate students will be able to fully understand the contents of the book and enjoy the fan of nonlinear wave phenomena without relying on other books.

Propagation of Nonlinear Water Waves Over Variable Depth in Cylindrical Geometry

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Publisher :
ISBN 13 :
Total Pages : 187 pages
Book Rating : 4.:/5 (486 download)

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Book Synopsis Propagation of Nonlinear Water Waves Over Variable Depth in Cylindrical Geometry by : Sean Martin Killen

Download or read book Propagation of Nonlinear Water Waves Over Variable Depth in Cylindrical Geometry written by Sean Martin Killen and published by . This book was released on 2000 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulation of Water Waves by Boussinesq Models

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Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Simulation of Water Waves by Boussinesq Models by : Ge Wei

Download or read book Simulation of Water Waves by Boussinesq Models written by Ge Wei and published by . This book was released on 1997 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new set of time-dependent Boussinesq equations is derived to simulate nonlinear long wave propagation in coastal regions. Following the approaches by Nwogu and later by Chen and Liu, the velocity (or velocity potential) at a certain water depth corresponding to the optimum linear dispersion property is used as a dependent variable. Therefore, the resulting equations are valid in intermediate water depth as well as for highly nonlinear waves. Coefficients for second order bound waves and the third order Schrodinger equation are derived and compared with exact solutions. A numerical model using a combination of second and fourth order schemes to discretize equation terms is developed for obtaining solutions to the equations. A fourth order predictor-corrector scheme is employed for time stepping and the first order derivative terms are finite differenced to fourth order accuracy, making the truncation errors smaller than the dispersive terms in the equations. Linear stability analysis is performed to determine the corresponding numerical stability range for the model. To avoid the problem of wave reflection from the conventional incident boundary condition, internal wave generation by source function is employed for the present model. Numerical filtering is applied at specified time steps in the model to eliminate short waves (about 2 to 5 times of the grid size) which are generated by the nonlinear interaction of long waves. To simulate the wave breaking process, additional terms for artificial eddy viscosity are included in the model equations to dissipate wave energy. The dissipation terms are activated when the horizontal gradient of the horizontal velocity exceeds the specified breaking criteria. Some of the existing models for simulating the process of wave runup are reviewed and we attempt to incorporate the present model to simulate the process by maintaining a thin layer of water over the physically dry grids.

Advances In Numerical Simulation Of Nonlinear Water Waves

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Publisher : World Scientific
ISBN 13 : 9814469394
Total Pages : 700 pages
Book Rating : 4.8/5 (144 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 2010-04-15 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the Earth's surface is covered by water. Many aspects of our everyday lives and activities may be affected by water waves in some way. Sometimes, the waves can cause disaster. One of the examples was the tsunami that occurred in the Indian Ocean on 26 December 2004. This indicates how important it is for us to fully understand water waves, in particular the very large ones. One way to do so is to perform numerical simulation based on the nonlinear theory. Considerable research advances have been made in this area over the past decade by developing various numerical methods and applying them to emerging problems; however, until now there has been no comprehensive book to reflect these advances. This unique volume aims to bridge this gap.This book contains 18 self-contained chapters written by more than 50 authors from 12 different countries, many of whom are world-leading experts in the field. Each chapter is based mainly on the pioneering work of the authors and their research teams over the past decades. The chapters altogether deal with almost all numerical methods that have been employed so far to simulate nonlinear water waves and cover many important and very interesting applications, such as overturning waves, breaking waves, waves generated by landslides, freak waves, solitary waves, tsunamis, sloshing waves, interaction of extreme waves with beaches, interaction with fixed structures, and interaction with free-response floating structures. Therefore, this book provides a comprehensive overview of the state-of-the-art research and key achievements in numerical modeling of nonlinear water waves, and serves as a unique reference for postgraduates, researchers and senior engineers working in industry.

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.

Introduction to Water Waves

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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:

Nonlinear Waves

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Publisher : CUP Archive
ISBN 13 : 9780521254687
Total Pages : 376 pages
Book Rating : 4.2/5 (546 download)

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Book Synopsis Nonlinear Waves by : Lokenath Debnath

Download or read book Nonlinear Waves written by Lokenath Debnath and published by CUP Archive. This book was released on 1983-12-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

Nonlinear Internal Waves in Lakes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642234380
Total Pages : 292 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Nonlinear Internal Waves in Lakes by : Kolumban Hutter

Download or read book Nonlinear Internal Waves in Lakes written by Kolumban Hutter and published by Springer Science & Business Media. This book was released on 2011-11-25 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Internal wave dynamics in lakes (and oceans) is an important physical component of geophysical fluid mechanics of ‘quiescent’ water bodies of the Globe. The formation of internal waves requires seasonal stratification of the water bodies and generation by (primarily) wind forces. Because they propagate in basins of variable depth, a generated wave field often experiences transformation from large basin-wide scales to smaller scales. As long as this fission is hydrodynamically stable, nothing dramatic will happen. However, if vertical density gradients and shearing of the horizontal currents in the metalimnion combine to a Richardson number sufficiently small (

Propagation of Weakly-nonlinear Surface Water Waves in Regions with Varying Depth and Current

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Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Propagation of Weakly-nonlinear Surface Water Waves in Regions with Varying Depth and Current by : James Thornton Kirby

Download or read book Propagation of Weakly-nonlinear Surface Water Waves in Regions with Varying Depth and Current written by James Thornton Kirby and published by . This book was released on 1983 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear, Dispersive Long Waves in Water of Variable Depth

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Publisher :
ISBN 13 :
Total Pages : 71 pages
Book Rating : 4.:/5 (348 download)

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Book Synopsis Nonlinear, Dispersive Long Waves in Water of Variable Depth by : James Thornton Kirby

Download or read book Nonlinear, Dispersive Long Waves in Water of Variable Depth written by James Thornton Kirby and published by . This book was released on 1996 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Nonlinear Theory of Water Waves by Direct Methods

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Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis A Nonlinear Theory of Water Waves by Direct Methods by : To-yŏng Kim

Download or read book A Nonlinear Theory of Water Waves by Direct Methods written by To-yŏng Kim and published by . This book was released on 1989 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: