Download or read book Nonlinear Wave Group Evolution in Shallow Water written by and published by . This book was released on 1998 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Waves written by Lokenath Debnath and published by Cambridge University Press. This book was released on 2009-01-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.
Download or read book New Approaches to Nonlinear Waves written by Elena Tobisch and published by Springer. This book was released on 2015-08-19 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima, KdV-type, Klein-Gordon, NLS-type, Serre, Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics.
Download or read book Nonlinear Waves written by Lokenath Debnath and published by CUP Archive. This book was released on 1983-12-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.
Download or read book Wave Groups in Shallow Water written by Steve Elgar and published by . This book was released on 1999 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the primary results of this study is that wave group statistics observed in the ocean at depths greater than 10 m for a large range of wave conditions are consistent with linear theory. Wave group prediction models that do not include the effect of correlations between waves separated by several intervening waves underpredict the number of sequential large waves. On the other hand, a model that includes correlations of waves separated by as many as six intervening waves predicts accurately the observed wave group statistics. Another result is that although computationally convenient, wave group prediction models based on power spectral shape alone are not as accurate as models based on direct simulations of the wave field. In shallower water where nonlinearities in the wave field can be important, linear theory based models underpredict the lengths of groups of large waves, but nonlinear simulations that use information from the power spectrum and bispectrum of the time series of sea-surface elevation are more accurate. The simulations suggest nonlinearities result in longer groups of high waves than occur in a Gaussian (eg, linear) sea.
Download or read book 3D Modeling of Nonlinear Wave Phenomena on Shallow Water Surfaces written by Iftikhar B. Abbasov and published by John Wiley & Sons. This book was released on 2018-01-31 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: With climate change, erosion, and human encroachment on coastal environments growing all over the world, it is increasingly important to protect populations and environments close to the sea from storms, tsunamis, and other events that can be not just costly to property but deadly. This book is one step in bringing the science of protection from these events forward, the most in-depth study of its kind ever published. The analytic and numerical modeling problems of nonlinear wave activities in shallow water are analyzed in this work. Using the author's unique method described herein, the equations of shallow water are solved, and asymmetries that cannot be described by the Stokes theory are solved. Based on analytical expressions, the impacts of dispersion effects to wave profiles transformation are taken into account. The 3D models of the distribution and refraction of nonlinear surface gravity wave at the various coast formations are introduced, as well. The work covers the problems of numerical simulation of the run-up of nonlinear surface gravity waves in shallow water, transformation of the surface waves for the 1D case, and models for the refraction of numerical modeling of the run-up of nonlinear surface gravity waves at beach approach of various slopes. 2D and 3D modeling of nonlinear surface gravity waves are based on Navier-Stokes equations. In 2D modeling the influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was investigated. Various stages of the run-up of nonlinear surface gravity waves are introduced and analyzed. The 3D modeling process of the run-up is tested for the coast protection work of the slope type construction. Useful for students and veteran engineers and scientists alike, this is the only book covering these important issues facing anyone working with coastal models and ocean, coastal, and civil engineering in this area.
Download or read book Evolution of Nonlinear Wave Groups on Water of Slowly varying Depth written by Michael Stiassnie and published by . This book was released on 1984 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximate analytical solution describing the shoaling of modulated wave-trains is presented. This solution provides new information about the wave field evolution as well as about the wave-induced mean current and set down. (Author).
Download or read book Nonlinear Dispersive Wave Systems written by Lokenath Debnath and published by World Scientific. This book was released on 1992-09-09 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together a comprehensive account of major developments in the theory and applications of nonlinear dispersive waves, nonlinear water waves, KdV and nonlinear Schrodinger equations, Davey-Stewartson equation, Benjamin-Ono equation and nonlinear instability phenomena. In order to give the book a wider readership, chapters have been written by internationally known researchers who have made significant contributions to nonlinear waves and nonlinear instability. This volume will be invaluable to applied mathematicians, physicists, geophysicists, oceanographers, engineering scientists, and to anyone interested in nonlinear dynamics.
Download or read book Nonlinear Water Waves written by Lokenath Debnath and published by Academic Press. This book was released on 1994-03-29 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave motion in water is one of the most striking observable phenomena in nature. Throughout the twentieth century, development of the linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant. In the last three decades there have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability phenomena. New solutions are now available for waves modulatedin both space and time, which exhibit new phenomena as diverse as solitons, resonant interactions, side-band instability, and wave-breaking. Other achievements include the discovery of soliton interactions, and the Inverse Scattering Transform method forfinding the explicit exact solution for several canonical nonlinear partial differential equations. This monograph is the first to summarize the research on nonlinear wave phenomena over the past three decades, and it also presents numerous applications in physics, geophysics, and engineering.
Download or read book Some Aspects of Nonlinear Wave Motion in Shallow Water written by Jon Christian Luke and published by . This book was released on 1963 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Numerical Simulation of Nonlinear Water Waves written by Qingwei Ma and published by World Scientific. This book was released on 2010 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ch. 1. Model for fully nonlinear ocean wave simulations derived using Fourier inversion of integral equations in 3D / J. Grue and D. Fructus -- ch. 2. Two-dimensional direct numerical simulations of the dynamics of rogue waves under wind action / J. Touboul and C. Kharif -- ch. 3. Progress in fully nonlinear potential flow modeling of 3D extreme ocean waves / S.T. Grilli [und weitere] -- ch. 4. Time domain simulation of nonlinear water waves using spectral methods / F. Bonnefoy [und weitere] -- ch. 5. QALE-FEM method and its application to the simulation of free-responses of floating bodies and overturning waves / Q.W. Ma and S. Yan -- ch. 6. Velocity calculation methods in finite element based MEL formulation / V. Sriram, S.A. Sannasiraj and V. Sundar -- ch. 7. High-order Boussinesq-type modelling of nonlinear wave phenomena in deep and shallow water / P.A. Madsen and D.R. Fuhrman -- ch. 8. Inter-comparisons of different forms of higher-order Boussinesq equations / Z.L. Zou, K.Z. Fang and Z.B. Liu -- ch. 9. Method of fundamental solutions for fully nonlinear water waves / D.-L. Young, N.-J. Wu and T.-K. Tsay -- ch. 10. Application of the finite volume method to the simulation of nonlinear water waves / D. Greaves -- ch. 11. Developments in multi-fluid finite volume free surface capturing method / D.M. Causon, C.G. Mingham and L. Qian -- ch. 12. Numerical computation methods for strongly nonlinear wave-body interactions / M. Kashiwagi, C. Hu and M. Sueyoshi -- ch. 13. Smoothed particle hydrodynamics for water waves / R.A. Dalrymple [und weitere] -- ch. 14. Modelling nonlinear water waves with RANS and LES SPH models / R. Issa [und weitere] -- ch. 15. MLPG_R method and Its application to various nonlinear water waves / Q.W. Ma -- ch. 16. Large Eddy simulation of the hydrodynamics generated by breaking waves / P. Lubin and J.-P. Caltagirone -- ch. 17. Recent advances in turbulence modeling for unsteady breaking waves / Q. Zhao and S.W. Armfield -- ch. 18. Freak waves and their interaction with ships and offshore structures / G.F. Clauss
Download or read book Evolution of Nonlinear Wave Groups on Water of Slowly Varying Depth written by Y. Frostig and published by . This book was released on 1983 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to present quantitative information about the approximate solution of the non-linear Schroedinger equation with varying coefficients and periodic boundary conditions, and comparing it with numerical solutions. A brief review of the method is developed and is based in the evaluation of an initial disturbance' at every point, and local application of the analytical solution. Quantitative information about the variation of the local 'initial disturbance' is provided and we present the comparison of the solution with numerical solutions.
Download or read book On the Nonlinear Transformation of Waves in Shallow Water written by M. S. Longuet-Higgins and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Rogue Waves in the Ocean written by Christian Kharif and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: “It came from nowhere, snapping giant ships in two. No one believed the survivors . . . until now” —New Scientist magazine cover, June 30, 2001 Rogue waves are the focus of this book. They are among the waves naturally - served by people on the sea surface that represent an inseparable feature of the Ocean. Rogue waves appear from nowhere, cause danger, and disappear at once. They may occur on the surface of a relatively calm sea and not reach very high amplitudes, but still be fatal for ships and crew due to their unexpectedness and abnormal features. Seamen are known to be unsurpassed authors of exciting and horrifying stories about the sea and sea waves. This could explain why, despite the increasing number of documented cases, that sailors’ observations of “walls of - ter” have been considered ctitious for a while. These stories are now addressed again due to the amount of doubtless evidence of the existence of the phenomenon, but still without suf cient information to - able interested researchers and engineers to completely understand it. The billows appear suddenly, exceeding the surrounding waves by two times their size and more, and obtaining many names: abnormal, exceptional, extreme, giant, huge, s- den, episodic, freak, monster, rogue, vicious, killer, mad- or rabid-dog waves, cape rollers, holes in the sea, walls of water, three sisters, etc.
Download or read book Higher Approximation to Nonlinear Water Waves and the Limiting Heights of Cnoidal Solitary and Stokes Waves written by Edmund V. Laitone and published by . This book was released on 1963 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: To obtain the first and second approximations to solitary and cnoidal waves the shallow water expansion method of Friedrichs and Keller is carried out to the fourth order. It is shown that the rigorous first approximation to these amplitude waves of permanent form is identical to the solution first given by Korteweg and deVries in 1895. The second approximation however results in some new expressions for predicting the behavior of long waves in shallow water. Limiting amplitude is found to be 8/11 of the free water depth for the solitary wave. The third approximation to Stokes waves in water of finite depth is verified by the use of the classical small-perturbation expansion method. For finite amplitude waves the series expansion is found to be in terms of a parameter most suitable for wavelengths shorter than 8 times the depth. Rather severe restrictions inherent in the well-known analogy between the nonlinear shallow water flow and two-dimensional perfect gas flow are pointed out. (Author).
Download or read book Nonlinear Dispersive Wave Systems written by Lokenath Debnath and published by . This book was released on 1992 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt:
