Linear Water Waves PDF Download
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Author | : Nikolaĭ Germanovich Kuznet︠s︡ov |
Publisher | : Cambridge University Press |
Total Pages | : 528 |
Release | : 2002-07-11 |
Genre | : Mathematics |
ISBN | : 9780521808538 |
Download Linear Water Waves Book in PDF, ePub and Kindle
This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'
Author | : Johannes Falnes |
Publisher | : Cambridge University Press |
Total Pages | : 319 |
Release | : 2020-05-28 |
Genre | : Science |
ISBN | : 1108481663 |
Download Ocean Waves and Oscillating Systems Book in PDF, ePub and Kindle
Understand the absorption of energy from ocean waves by means of oscillating systems with this useful new edition. Essential for engineers, researchers, and graduate students, and an indispensable tool for those who work in this field.
Author | : G. B. Whitham |
Publisher | : John Wiley & Sons |
Total Pages | : 660 |
Release | : 2011-10-18 |
Genre | : Science |
ISBN | : 1118031202 |
Download Linear and Nonlinear Waves Book in PDF, ePub and Kindle
Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.
Author | : James Johnston Stoker |
Publisher | : Courier Dover Publications |
Total Pages | : 593 |
Release | : 2019-04-17 |
Genre | : Science |
ISBN | : 0486839923 |
Download Water Waves: The Mathematical Theory with Applications Book in PDF, ePub and Kindle
First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.
Author | : Robert G Dean |
Publisher | : World Scientific Publishing Company |
Total Pages | : 369 |
Release | : 1991-01-23 |
Genre | : Technology & Engineering |
ISBN | : 9814365696 |
Download Water Wave Mechanics For Engineers And Scientists Book in PDF, ePub and Kindle
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 | : Gordon David Crapper |
Publisher | : |
Total Pages | : 232 |
Release | : 1984 |
Genre | : Science |
ISBN | : |
Download Introduction to Water Waves Book in PDF, ePub and Kindle
Author | : Robin Stanley Johnson |
Publisher | : Cambridge University Press |
Total Pages | : 468 |
Release | : 1997-10-28 |
Genre | : Mathematics |
ISBN | : 9780521598323 |
Download A Modern Introduction to the Mathematical Theory of Water Waves Book in PDF, ePub and Kindle
This text considers classical and modern problems in linear and non-linear water-wave theory.
Author | : Chiang C. Mei |
Publisher | : World Scientific |
Total Pages | : 540 |
Release | : 2005 |
Genre | : Nonlinear waves |
ISBN | : 9812561560 |
Download Theory and Applications of Ocean Surface Waves: Linear aspects Book in PDF, ePub and Kindle
Presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. It is intended for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves.
Author | : Johannes Falnes |
Publisher | : Cambridge University Press |
Total Pages | : 287 |
Release | : 2002-03-21 |
Genre | : Technology & Engineering |
ISBN | : 1139431935 |
Download Ocean Waves and Oscillating Systems Book in PDF, ePub and Kindle
This 2002 book examines the interaction between ocean waves and oscillating systems. With a focus on linear analysis of low-amplitude waves, the text is designed to convey a thorough understanding of wave interactions. Topics covered include the background mathematics of oscillations, gravity waves on water, the dynamics of wave-body interactions, and the absorption of wave energy by oscillating bodies. Linear algebra, complex numbers, differential equations, and Fourier transformation are utilized as bases for the analysis, and each chapter ends with problems. While the book's focus is on linear theory, the practical application of energy storage and transport is interwoven throughout. This book will be appropriate for those with backgrounds in elementary fluid dynamics or hydrodynamics and mathematical analysis. Graduate students and researchers will find it an excellent source of wave energy theory and application.
Author | : Maarten W. Dingemans |
Publisher | : World Scientific |
Total Pages | : 508 |
Release | : 2000 |
Genre | : Technology & Engineering |
ISBN | : 9789810239947 |
Download Water Wave Propagation Over Uneven Bottoms: Linear wave propagation Book in PDF, ePub and Kindle