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Diffraction Of Water Waves In Water Of Variable Depth
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Book Synopsis Wave Propagation and Diffraction by : Igor T. Selezov
Download or read book Wave Propagation and Diffraction written by Igor T. Selezov and published by Springer. This book was released on 2017-09-05 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.
Book Synopsis Numerical Modeling of Water Waves by : Pengzhi Lin
Download or read book Numerical Modeling of Water Waves written by Pengzhi Lin and published by CRC Press. This book was released on 2008-04-30 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. Wave modelling can be viewed as an extension of wave theory, a mature and widely published field, applied to practical engineering through the use of computer tools.
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.
Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 1980-01-18 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mechanics
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 Wave Propagation Over Uneven Bottoms: Linear wave propagation by : Maarten W. Dingemans
Download or read book Water Wave Propagation Over Uneven Bottoms: Linear wave propagation written by Maarten W. Dingemans and published by World Scientific. This book was released on 2000 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Water Wave Mechanics For Engineers And Scientists by : Robert G Dean
Download or read book Water Wave Mechanics For Engineers And Scientists written by Robert G Dean and published by World Scientific Publishing Company. This book was released on 1991-01-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Waves and Nonlinear Processes in Hydrodynamics by : John Grue
Download or read book Waves and Nonlinear Processes in Hydrodynamics written by John Grue and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: In December 1994 Professor Enok Palm celebrated his 70th birthday and retired after more than forty years of service at the University of Oslo. In view of his outstanding achievements as teacher and scientist a symposium entitled "Waves and Nonlinear Processes in Hydrodynamics" was held in his honour from the 17th to the 19th November 1994 in the locations of The Norwegian Academy of Science and Letters in Oslo. The topics of the symposium were chosen to cover Enok's broad range of scientific work, interests and accomplishments: Marine hydrodynamics, nonlinear wave theory, nonlinear stability, thermal convection and geophys ical fluid dynamics, starting with Enok's present activity, ending with the field where he began his career. This order was followed in the symposium program. The symposium had two opening lectures. The first looked back on the history of hydrodynamic research at the University of Oslo. The second focused on applications of hydrodynamics in the offshore industry today.
Book Synopsis Rogue Waves 2000 by : Michel Olagnon
Download or read book Rogue Waves 2000 written by Michel Olagnon and published by Editions Quae. This book was released on 2001 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brest, 29 au 29 novembre 2000. C'est aujourd'hui une certitude que certaines vagues outrepassent en hauteur et en cambrure les prédictions fondées sur les modèles courants. L'amélioration de la compréhension des raisons, des mécanismes, et des circonstances de leur apparition se doit donc d'être une priorité de recherche. Le colloque Rogue Waves 2000 a rassemblé à Brest nombre des scientifiques et ingénieurs actifs sur le sujet, qui y ont trouvé l'occasion de confronter et discuter leurs avancées les plus récentes en termes de définition, de statistiques, de modélisation et de prédiction de ces vagues anormales. Mots-clés : vagues, extrêmes, non-linéarités, vagues anormales, vagues scélérates.
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 Computational Techniques And Applications - Proceedings Of The Sixth Biennial Conference by : Henry J Gardner
Download or read book Computational Techniques And Applications - Proceedings Of The Sixth Biennial Conference written by Henry J Gardner and published by World Scientific. This book was released on 1994-06-28 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers on computational mathematics, development, implementation, and application of numerical algorithms, the development and application of computational systems, and numerical modelling. Also featured are reports on applications of advanced computer architectures and innovative visualisation techniques. It will be a help for developers and implementors of computational methods who wish to find out more about the work of those applying the technology to problems in engineering and science, and vice versa.
Book Synopsis Advances in Coastal and Ocean Engineering by : Philip L. F. Liu
Download or read book Advances in Coastal and Ocean Engineering written by Philip L. F. Liu and published by World Scientific. This book was released on 2001 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear modulation of water waves / Maarten Dingemans and Ashwini Otta -- Bubble measurement techniques and bubble dynamics in coastal shallow water / Ming-Yang Su and Joel C. Wesson -- Simulation of waves in harbors using two-dimensional elliptic equation models / Vijay Panchang and Z. Demirbilek -- Recent advances in the modeling of wave and permeable structure interaction / Inigo J. Losada -- Descriptive hydrodynamics of lock-exchange flows / Harry Yeh and Kiyoshi Wada.
Book Synopsis Advances In Coastal And Ocean Engineering, Vol 7 by : Philip L-f Liu
Download or read book Advances In Coastal And Ocean Engineering, Vol 7 written by Philip L-f Liu and published by World Scientific. This book was released on 2001-07-12 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume consists of five articles covering a wide range of topics in coastal oceanographic engineering. The reader can find an article discussing the modern bubble measurement techniques applied to field studies of bubble dynamics in coastal shallow water. A comprehensive review paper on nonlinear modulation of water waves provides readers with a new perspective on nonlinear processes in the coastal and ocean wave environment. For those who are interested in wave modeling, there are two review articles discussing various wave models, which can be used to study wave-structure interactions and harbor oscillations. Finally, readers who are interested in the subject of stratified flows can find an article presenting the detailed laboratory observations of lock-exchange flows.
Book Synopsis Water Wave Propagation Over Uneven Bottoms (In 2 Parts) by : Maarten W Dingemans
Download or read book Water Wave Propagation Over Uneven Bottoms (In 2 Parts) written by Maarten W Dingemans and published by World Scientific. This book was released on 1997-01-07 with total page 1015 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this book is to provide a review of techniques available for the problems of wave propagation in regions with uneven beds as they are encountered in coastal areas. The view taken is that the techniques should be useful for application in advisory practice. However, effort is put into a precise definition of the underlying physical principles, so that the validity of the methods used can be evaluated. Both linear and nonlinear wave propagation techniques are discussed. Because of its length, the book comes in two parts: Part 1 covers primarily linear wave propagation, and Part 2 covers nonlinear wave propagation.
Book Synopsis International Trends in Optics by : Joseph W. Goodman
Download or read book International Trends in Optics written by Joseph W. Goodman and published by Academic Press. This book was released on 2012-12-02 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Trends in Optics provides a broad view of work in the field of optics throughout the world. Topics range from quantum optoelectronics for optical processing to optics in telecommunications, along with microoptics, optical memories, and fiber-optic signal processing. Holographic optical elements for use with semiconductor lasers are also considered. Comprised of 34 chapters, this book begins with an introduction to some of the practical applications of integrated optical circuits, optoelectronic integrated circuits, and photonic integrated circuits. Subsequent chapters deal with quantum optoelectronics for optical processing; fiber-optic signal processing; holographic optical elements for use with semiconductor lasers; potential uses of photorefractives; and adaptive interferometry that makes use of photorefractive crystals. Water wave optics and diffraction are also examined, together with the essential journals of optics and the opposition effect in volume and surface scattering. The final chapter is devoted to optical computing, with emphasis on its processing functions and architecture. This monograph will be of interest to students, practitioners, and researchers in physics and electronics.
Book Synopsis Ocean Engineering Science by : Bernard Le Méhauté
Download or read book Ocean Engineering Science written by Bernard Le Méhauté and published by Harvard University Press. This book was released on 2005-06-28 with total page 1340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Ocean Surface Waves: Nonlinear aspects by : Chiang C. Mei
Download or read book Theory and Applications of Ocean Surface Waves: Nonlinear aspects written by Chiang C. Mei and published by World Scientific. This book was released on 2005 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of The Applied Dynamics of Ocean Surface Waves. It presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. Advanced analytical and numerical techniques are applied, such as singular perturbations. In this expanded edition, two chapters on recent developments have been added: one is on multiple scattering by periodic or random bathymetry, and the other is on Zakharov's theory of broad spectrum wave fields. New sections include topics on infragravity waves, upstream solitons, Venice storm gates, etc. In addition, there are many new exercises. Theory and Applications of Ocean Surface Waves will be invaluable for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves, and theoretical scientists and applied mathematicians wishing to develop new techniques for challenging problems or to apply techniques existing elsewhere.