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Mathematical Techniques For Water Waves
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Book Synopsis Mathematical Techniques for Water Waves by : B. N. Mandal
Download or read book Mathematical Techniques for Water Waves written by B. N. Mandal and published by WIT Press (UK). This book was released on 1997 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical techniques used to handle various water wave problems are varied and fascinating. This book highlights a number of these techniques in connection with investigations of some classes of water wave problems by leading researchers in this field. The first eight chapters discuss linearised theory while the last two cover nonlinear analysis. This book will be an invaluable source of reference for advanced mathematical work in water wave theory.
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.
Book Synopsis Water Waves: The Mathematical Theory with Applications by : James Johnston Stoker
Download or read book Water Waves: The Mathematical Theory with Applications written by James Johnston Stoker and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :Nikolaĭ Germanovich Kuznet︠s︡ov Publisher :Cambridge University Press ISBN 13 :9780521808538 Total Pages :528 pages Book Rating :4.8/5 (85 download)
Book Synopsis Linear Water Waves by : Nikolaĭ Germanovich Kuznet︠s︡ov
Download or read book Linear Water Waves written by Nikolaĭ Germanovich Kuznet︠s︡ov and published by Cambridge University Press. This book was released on 2002-07-11 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.'
Book Synopsis Mathematical Techniques for Wave Interaction with Flexible Structures by : Trilochan Sahoo
Download or read book Mathematical Techniques for Wave Interaction with Flexible Structures written by Trilochan Sahoo and published by CRC Press. This book was released on 2012-10-24 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Techniques for Wave Interaction with Flexible Structures is a thoughtful compilation of the various mathematical techniques used to deal with wave structure interaction problems. The book emphasizes unique determination of the solution for a class of physical problems associated with Laplace- or Helmholtz-type equations satisfying high
Book Synopsis Handbook of Mathematical Techniques for Wave/Structure Interactions by : C.M. Linton
Download or read book Handbook of Mathematical Techniques for Wave/Structure Interactions written by C.M. Linton and published by CRC Press. This book was released on 2001-02-26 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the
Book Synopsis Nonlinear Water Waves by : David Henry
Download or read book Nonlinear Water Waves written by David Henry and published by Birkhäuser. This book was released on 2019-12-06 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.
Book Synopsis The Mathematical Theory of Permanent Progressive Water-waves by : Hisashi Okamoto
Download or read book The Mathematical Theory of Permanent Progressive Water-waves written by Hisashi Okamoto and published by World Scientific. This book was released on 2001 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers appeared in 1847 and 1880. Among many aspects of the problem, the authors focus on periodic progressive waves, which mean waves traveling at a constant speed with no change of shape. As a consequence, everything about standing waves are excluded and solitary waves are studied only partly. However, even for this restricted problem, quite a number of papers and books, in physics and mathematics, have appeared and more will continue to appear, showing the richness of the subject. In fact, there remain many open questions to be answered.The present book consists of two parts: numerical experiments and normal form analysis of the bifurcation equations. Prerequisite for reading it is an elementary knowledge of the Euler equations for incompressible inviscid fluid and of bifurcation theory. Readers are also expected to know functional analysis at an elementary level. Numerical experiments are reported so that any reader can re-examine the results with minimal labor: the methods used in this book are well-known and are described as clearly as possible. Thus, the reader with an elementary knowledge of numerical computation will have little difficulty in the re-examination.
Book Synopsis Water Wave Scattering by : Birendra Nath Mandal
Download or read book Water Wave Scattering written by Birendra Nath Mandal and published by CRC Press. This book was released on 2015-05-21 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interes
Book Synopsis Water Waves and Ship Hydrodynamics by : A.J. Hermans
Download or read book Water Waves and Ship Hydrodynamics written by A.J. Hermans and published by Springer Science & Business Media. This book was released on 2010-10-21 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Water Waves written by Matiur Rahman and published by . This book was released on 1995-01-19 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained and accessible, Water Waves provides an up-to-date introduction to the mathematical and physical aspects of water wave theory. Written particularly for undergraduates engineering, physics, and mathematics students, the book contains a wealth of examples and exercises. It begins with the derivations of the fundamental mathematical equations, outlining differential equations appropriate for the description of physical phenomena. It goes on to detail the development of wave equations (including the essential boundary conditions), and to describe small amplitude wave theory, finite amplitude wave theory, tidal dynamics in shallow water, wave statistics and the wave energy spectrum, and nonlinear long waves in shallow water. The book concludes with a description of the inverse scattering technique used to solve solitary wave problems. Rigorous and coherent, Water Waves is ideal for students and professionals approaching the subject for the first time.
Book Synopsis The Water Waves Problem by : David Lannes
Download or read book The Water Waves Problem written by David Lannes and published by American Mathematical Soc.. This book was released on 2013-05-08 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Modeling of Water Waves by : Charles L. Mader
Download or read book Numerical Modeling of Water Waves written by Charles L. Mader and published by CRC Press. This book was released on 2004-06-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Modeling of Water Waves, Second Edition covers all aspects of this subject, from the basic fluid dynamics and the simplest models to the latest and most complex, including the first-ever description of techniques for modeling wave generation by explosions, projectile impacts, asteroids, and impact landslides. The book comes packaged with a CD-ROM that contains the computer codes and movies generated by the author and his colleagues at the Los Alamos National Laboratory. Mader's three-pronged approach--through text, computer programs, and animations--imparts a thorough understanding of new computational methods and provides the tools to put those methods to effective use.
Book Synopsis Kalman Filter Method in the Analysis of Vibrations Due to Water Waves by : Piotr Wilde
Download or read book Kalman Filter Method in the Analysis of Vibrations Due to Water Waves written by Piotr Wilde and published by World Scientific. This book was released on 1993 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book is the application of the linear filtering theory to the vibration of structures in a fluid. Emphasis is placed on the mathematical models which, in the theory of systems, characterize the state of a dynamic system. The mathematical models are in the form of linear Ito stochastic differential equations. Discretization of the models, which leads to straightforward computer applications, is also discussed. The book also presents an approach to nonlinear problems based on the expansion of random functions in a series. To elucidate the proposed approach, examples on the application of Kalman filters, which refer to the vibrations of cylinders in waves, are cited. This provides a practical orientation to complement the proposed theory and contributes to a clearer and deeper understanding of the subject matter.
Book Synopsis Mathematics of Wave Phenomena by : Willy Dörfler
Download or read book Mathematics of Wave Phenomena written by Willy Dörfler and published by Springer Nature. This book was released on 2020-10-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.
Book Synopsis Mathematical Techniques for Wave Interaction with Flexible Structures by : Trilochan Sahoo
Download or read book Mathematical Techniques for Wave Interaction with Flexible Structures written by Trilochan Sahoo and published by CRC Press. This book was released on 2012-10-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Techniques for Wave Interaction with Flexible Structures is a thoughtful compilation of the various mathematical techniques used to deal with wave structure interaction problems. The book emphasizes unique determination of the solution for a class of physical problems associated with Laplace- or Helmholtz-type equations satisfying higher order boundary conditions with the applications of the theory of ordinary and partial differential equations, Fourier analysis, and more. Features: Provides a focused mathematical treatment for gravity wave interaction with floating and submerged flexible structures Highlights solution methods for a special class of boundary value problems in wave structure interaction Introduces and expands upon differential equations and the fundamentals of wave structure interaction problems This is an ideal handbook for naval architects, ocean engineers, and geophysicists dealing with the design of floating and/or flexible marine structures. The book’s underlying mathematical tools can be easily extended to deal with physical problems in the area of acoustics, electromagnetic waves, wave propagation in elastic media, and solid‐state physics. Designed for both the classroom and independent study, Mathematical Techniques for Wave Interaction with Flexible Structures enables readers to appreciate and apply the mathematical tools of wave structure interaction research to their own work.
Book Synopsis Ocean Surface Waves by : Stanislaw R. Massel
Download or read book Ocean Surface Waves written by Stanislaw R. Massel and published by World Scientific. This book was released on 1996 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a handbook for professionals and researchers in the areas of Physical Oceanography, Ocean and Coastal Engineering and as a text for graduate students in these fields. It presents a comprehensive study on surface ocean waves induced by wind, including basic mathematical principles, physical description of the observed phenomena, practical forecasting techniques of various wave parameters and applications in ocean and coastal engineering, all from the probabilistic and spectral points of view. The book commences with a description of mechanisms of surface wave generation by wind and its modern modeling techniques. The stochastic and probabilistic terminology is introduced and the basic statistical and spectral properties of ocean waves are developed and discussed in detail. The bulk of material deals with the prediction techniques for waves in deep and coastal waters for simple and complex ocean basins and complex bathymetry. The various prediction methods, currently used in oceanography and ocean engineering, are described and the examples of practical calculations illustrate the basic text. An appendix provides a description of the modern methods of wave measurement, including the remote sensing techniques. Also the wave simulation methods and random data analysis techniques are discussed. In the book a lot of discoveries of the Russian and East European scientists, largely unknown in the Western literature due to the language barrier, are referred to.
