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Author : F. Ursell
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (359 download)
Download or read book Forced Small-amplitude Water Waves written by F. Ursell and published by . This book was released on 1958 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgeniy Lokharu
Publisher : Linköping University Electronic Press
ISBN 13 : 9176855872
Total Pages : 33 pages
Book Rating : 4.1/5 (768 download)
Download or read book Small-amplitude steady water waves with vorticity written by Evgeniy Lokharu and published by Linköping University Electronic Press. This book was released on 2017-01-30 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of describing two-dimensional traveling water waves is considered. The water region is of finite depth and the interface between the region and the air is given by the graph of a function. We assume the flow to be incompressible and neglect the effects of surface tension. However we assume the flow to be rotational so that the vorticity distribution is a given function depending on the values of the stream function of the flow. The presence of vorticity increases the complexity of the problem and also leads to a wider class of solutions. First we study unidirectional waves with vorticity and verify the Benjamin-Lighthill conjecture for flows whose Bernoulli constant is close to the critical one. For this purpose it is shown that every wave, whose slope is bounded by a fixed constant, is either a Stokes or a solitary wave. It is proved that the whole set of these waves is uniquely parametrised (up to translation) by the flow force which varies between its values for the supercritical and subcritical shear flows of constant depth. We also study large-amplitude unidirectional waves for which we prove bounds for the free-surface profile and for Bernoulli’s constant. Second, we consider small-amplitude waves over flows with counter currents. Such flows admit layers, where the fluid flows in different directions. In this case we prove that the initial nonlinear free-boundary problem can be reduced to a finite-dimensional Hamiltonian system with a stable equilibrium point corresponding to a uniform stream. As an application of this result, we prove the existence of non-symmetric wave profiles. Furthermore, using a different method, we prove the existence of periodic waves with an arbitrary number of crests per period.
Author : G. F. Fitz-Gerald
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (226 download)
Download or read book A Note on the Uniquesness of Small Amplitude Water Waves Travelling in a Region of Varying Depth written by G. F. Fitz-Gerald and published by . This book was released on 1979 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. F. Fitz-Gerald
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (897 download)
Download or read book A Note on the Uniqueness of Small Amplitude Water Waves Travelling in a Region of Varying Depth written by G. F. Fitz-Gerald and published by . This book was released on 1979 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert G Dean
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365696
Total Pages : 369 pages
Book Rating : 4.8/5 (143 download)
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.
Author : José Raúl Quintero Henao
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.:/5 (435 download)
Download or read book Three-dimensional Long Water Waves with Small Amplitude written by José Raúl Quintero Henao and published by . This book was released on 1999 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Johnston Stoker
Publisher : Courier Dover Publications
ISBN 13 : 0486832996
Total Pages : 593 pages
Book Rating : 4.4/5 (868 download)
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 : Robert R. Long
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (659 download)
Download or read book A Theory of Small-amplitude Long Waves written by Robert R. Long and published by . This book was released on 1964 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory of small-amplitude, long, water waves is developed by expansion in terms of the two small parameters involved. The first approximation is required to be the familiar equations of infinitesimal, long waves. An investigation is made of the accuracy of the classical equations of finite-amplitude, hydrostatic disturbances. It appears that the simple hydrostatic approximation neglects terms which are just as important as those retained, although in certain cases the equations of hydrostatic disturbances may be useful to predict developments for limited periods of time. The first few sets of differential equations are integrated in a special case. The study leads to the derivation of the properties of a new kind of finite-amplitude, long wave--P. 1.
Author : Cyril Jerome Galvin
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (121 download)
Download or read book Finite-amplitude, Shallow Water-waves of Periodically Recurring Form written by Cyril Jerome Galvin and published by . This book was released on 1970 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harvey Philip Greenspan
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (318 download)
Download or read book On the Breaking of Water Waves of Finite Amplitude on a Sloping Beach written by Harvey Philip Greenspan and published by . This book was released on 1957 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent paper Carrier + Greenspan showed that, within the framework of the non-linear shallow-water theory, there exist waves which do not break as they climb a sloping beach. The formation of a shock or bore is dependent on a variety of factors (wave shape, particle velocity) and, as yet, no general criteria for breaking have been found. Waves are considered which propagate shoreward into quiescent water; it is shown that any compressive wave (a wave of positive amplitude) which has a non-zero slope at the wave-front eventually breaks before reaching the coastline. In fact, an explicit relation is obtained between the initial conditions and the position where breaking occurs. (Author).
Author : Dirk Hermanus Swart
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (359 download)
Download or read book Approximate Solution for Water Waves on a Sloping Bottom written by Dirk Hermanus Swart and published by . This book was released on 1989 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Lannes
Publisher : American Mathematical Soc.
ISBN 13 : 0821894706
Total Pages : 347 pages
Book Rating : 4.8/5 (218 download)
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.
Author : Nikolaĭ Germanovich Kuznet︠s︡ov
Publisher : Cambridge University Press
ISBN 13 : 9780521808538
Total Pages : 528 pages
Book Rating : 4.8/5 (85 download)
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.'
Author : Cyril Jerome Galvin
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Wave-height Prediction for Wave Generators in Shallow Water written by Cyril Jerome Galvin and published by . This book was released on 1964 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leslie Marie Wolff
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (211 download)
Download or read book Velocities of Small Amplitude Waves written by Leslie Marie Wolff and published by . This book was released on 1989 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chiang C Mei
Publisher : World Scientific Publishing Company
ISBN 13 : 9813147202
Total Pages : 1240 pages
Book Rating : 4.8/5 (131 download)
Download or read book Theory And Applications Of Ocean Surface Waves (Third Edition) (In 2 Volumes) written by Chiang C Mei and published by World Scientific Publishing Company. This book was released on 2018-03-15 with total page 1240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book set is a revised version of the 2005 edition of Theory and Applications 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 demonstrated. In this revised version, five chapters on recent developments in linear and nonlinear aspects have been added. The first is on detailed analyses in Wave/Structure Interactions. The second is a new section on Waves through a Marine Forest, a topic motivated by its possible relevance to tsunami reduction. The third is on Long Waves in Shallow Water and the fourth is an update on Broad-Banded Nonlinear Surface Waves in the Open Sea to include new findings in this topic. The fifth is an expanded chapter on Numerical Simulation of Nonlinear Wave Dynamics to include predictions of nonlinear spectral evolution and rogue wave occurrence and dynamics using large-scale phase-resolved simulations. This revised version also includes recent developments in precorrected-FFT accelerated O(N log N) low- and high-order boundary element methods for the computation of fully nonlinear wave-wave and wave-body interactions.Theory and Applications of Ocean Surface Waves (2016) 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.
Author : Coastal Engineering Research Center (U.S.)
Publisher :
ISBN 13 :
Total Pages : 1104 pages
Book Rating : 4.3/5 (243 download)
Download or read book Technical Memorandum - U.S. Army Corps of Engineers, Coastal Engineering Research Center written by Coastal Engineering Research Center (U.S.) and published by . This book was released on 1964 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
