Theory of Solitary Waves in Shallow Fluids PDF Download

Author: Roger Grimshaw
Publisher:
ISBN: 9780868392073
Category : Nonlinear waves
Languages : en
Pages : 52

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Author: John Anthony Gear
Publisher:
ISBN: 9780868390840
Category : Wave mechanics
Languages : en
Pages : 47

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Author: R. Grimshaw
Publisher: WIT Press
ISBN: 1845641574
Category : Science
Languages : en
Pages : 209

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Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.

Author: Joseph B. Keller
Publisher: Forgotten Books
ISBN: 9780366689880
Category : Mathematics
Languages : en
Pages : 40

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Book Description
Excerpt from The Solitary Wave and Periodic Waves in Shallow Water Numbers in square brackets refer to the bibliography at the end of the article. The theory given by Boussinesq involves a number of phys ical assumptions in addition to those of the basic hydro dynamical theory; it also leads to a differential equa tion for the wave profile. Both of these methods assume that the depth of the water is small compared to some horizontal dimension, and they might be interpreted as developments of the whole problem in powers of the ratio of the depth to some horizontal dimension, such as wave length. However, because these procedures are so unsys tematic, it is not clear that they are equivalent to such developments, nor to what order of approximation the so lutions obtained are valid. The method of proceeding to higher approximations is also obscure. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author:
Publisher: Springer
ISBN: 9780387758886
Category : Science
Languages : en
Pages : 10398

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This encyclopedia provides an authoritative single source for understanding and applying the concepts of complexity theory together with the tools and measures for analyzing complex systems in all fields of science and engineering. It links fundamental concepts of mathematics and computational sciences to applications in the physical sciences, engineering, biomedicine, economics and the social sciences.

Author: Roger Grimshaw
Publisher: Springer Science & Business Media
ISBN: 0306480247
Category : Science
Languages : en
Pages : 286

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The dynamics of flows in density-stratified fluids has been and remains now an important topic for scientific enquiry. Such flows arise in many contexts, ranging from industrial settings to the oceanic and atmospheric environments. It is the latter topic which is the focus of this book. Both the ocean and atmosphere are characterised by the basic vertical density stratification, and this feature can affect the dynamics on all scales ranging from the micro-scale to the planetary scale. The aim of this book is to provide a “state-of-the-art” account of stratified flows as they are relevant to the ocean and atmosphere with a primary focus on meso-scale phenomena; that is, on phenomena whose time and space scales are such that the density stratification is a dominant effect, so that frictional and diffusive effects on the one hand and the effects of the earth’s rotation on the other hand can be regarded as of less importance. This in turn leads to an emphasis on internal waves.

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309065372
Category : Science
Languages : en
Pages : 1039

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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.

Author: Gayaz Khakimzyanov
Publisher: Springer Nature
ISBN: 3030462676
Category : Mathematics
Languages : en
Pages : 296

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Book Description
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: Robert G Dean
Publisher: World Scientific Publishing Company
ISBN: 9814365696
Category : Technology & Engineering
Languages : en
Pages : 369

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Book Description
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.

Author: Thierry Dauxois
Publisher: Cambridge University Press
ISBN: 0521854210
Category : Mathematics
Languages : en
Pages : 435

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