Water Waves
Relating Modern Theory to Advanced Engineering Applications
Series: Institute of Mathematics and its Applications Monograph Series; 3;
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Product details:
- Publisher Clarendon Press
- Date of Publication 19 January 1995
- ISBN 9780198534785
- Binding Hardback
- No. of pages356 pages
- Size 241x214x25 mm
- Weight 674 g
- Language English
- Illustrations line figures 0
Categories
Short description:
Written for the graduate student, this book links the theory of the hydrodynamics of waves with applications in the area. The mathematical development of this theory is explained lucidly for those coming to the subject for the first time, and plentiful exercises complete each chapter. Applications in hydraulic and offshore engineering are considered, and ample references for further reading provided.
MoreLong description:
The purpose of this book is to present a self contained introduction to the mathematical and physical aspects of the theory of water waves. The book is aimed at undergraduate and graduate levels for engineers, physical scientists and mathematicians. Each chapter is concluded with practical problems expressed as exercises and accompanied by ample references for further studies. The book consists of ten chapters arranged into three parts: Part I: Basic Fluid Mechanics and Solutions Techniques which cover chapters 1-3. Part II: Water Waves covering chapters 4-7. Part III Advanced Water Waves which covers chapters 8-10. Parts I and II are elementary in nature; whereas Part III is more advanced.
The first three chapters give the derivations of the fundamental mathematical equations. Chapter 2 outlines appropriate differential equations to describe the physical phenomena, and Chapter 3 reviews solution techniques of some simplified partial differential equations. Chapter 4 gives the developmental of wave equations, including the essential boundary conditons and describes small amplitude wave theory. Chapter 5 deals with finite amplitude wave theory and Chapter 6 outlines the study of tidal dynamics in shallow water. For random wave case, the deterministic methods described in previous chapters do not hold good. Therefore, chapter 7 is clearly devoted to wave statistics and wave energy spectrum. The application of wave theory is demonstrated in Chapter 8. Chapter 9 examines the nonlinear long waves in shallow water from a mathematical view point. The book concludes with Chapter 10 which illustrates the inverse scattering technique to solve solitary wave problem.
'This book is well written and can be easily read. It is self-contained in that all of the mathematical tools and equations the reader needs can be found in the book. It is of interest to a wide audience in the science community: mathematicians, physicists, and engineers. Any reader would have to refer to numerous other book s to get all the information found here...
I recommend this book to anyone who wishes to learn more about water waves and who has some fluid mechanics and applied mathematics background. It is a valuable book to have in one's library if one is interested in wave phenomena...' Anne C. Morlet, SIAM Review, Vol. 39 No. 1, March 1997
Table of Contents:
Part I: Basic Fluid Mechanics and Solution Techniques
Introduction
Fundamental Equations of Motion of Fluids
Solution Techniques of Partial Differential Equations
Part II: Water Waves
Theory of Surface Waves
Finite Amplitude Waves
One-Dimensional Tidal Dynamics
Wave Statistics and Spectral Method
Part III: Advanced Water Waves
Wave Forces on Offshore Structures
Nonlinear Long Waves in Shallow Water
Inverse Scattering Transforms and the Theory of Solitons
Subject Index
Author Index
