Waves And Nonlinear Processes In Hydrodynamics
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Waves And Nonlinear Processes In Hydrodynamics
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Author : John Grue
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Waves And Nonlinear Processes In Hydrodynamics written by John Grue and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
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.
Finite Difference Method For Nonlinear Wave Hydrodynamics
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Author : Palaniswamy Ananthakrishnan
language : en
Publisher: Wiley
Release Date : 2022-02-22
Finite Difference Method For Nonlinear Wave Hydrodynamics written by Palaniswamy Ananthakrishnan and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-22 with Technology & Engineering categories.
Finite-Difference Method for Nonlinear Wave Hydrodynamics Palaniswamy Ananthakrishnan, Florida Atlantic University, USA Presents the theory and analysis of nonlinear wave hydrodynamics problems using the finite-difference method Finite-Difference Method for Nonlinear Wave Hydrodynamics comprehensively covers the analysis of nonlinear wave hydrodynamics problems using the finite-difference method. The book reviews the formulation of wave hydrodynamics and basic properties of ocean waves, presents the theory and derivations involved in the finite-difference method applied to wave hydrodynamics, and focuses on the application of nonlinear boundary conditions including effects of viscosity and surface tension. Finite-Difference Method for Nonlinear Wave Hydrodynamics would enable the reader to develop their own codes for analysis; fully understand and implement commercial software; extend the software by integrating it with design tools; and contribute to further developments in computational wave mechanics. Key features: Makes comparisons with other computational methods, including grid free methods. Analyses nonlinear wave-body and wave-vortex interactions. Discusses current issues in numerical modeling of nonlinear wave motion. Includes worked out examples. The book is an ideal reference for graduate students, researchers and practitioners in ocean, mechanical, civil and offshore engineering, and naval architecture.
Advances In Numerical Simulation Of Nonlinear Water Waves
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Author : Qingwei Ma
language : en
Publisher: World Scientific
Release Date : 2010
Advances In Numerical Simulation Of Nonlinear Water Waves written by Qingwei Ma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
Deals with numerical methods that have been employed to simulate nonlinear water waves. This book covers important applications, such as overturning waves, breaking waves, waves generated by landslides, freak waves, solitary waves, tsunamis, sloshing waves, interaction of extreme waves with beaches, and interaction with fixed structures.
Water Waves And Ship Hydrodynamics
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Author : A.J. Hermans
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-21
Water Waves And Ship Hydrodynamics written by A.J. Hermans and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-21 with Technology & Engineering categories.
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.
Nonlinear Waves In Fluids Recent Advances And Modern Applications
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Author : Roger Grimshaw
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-23
Nonlinear Waves In Fluids Recent Advances And Modern Applications written by Roger Grimshaw and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-23 with Technology & Engineering categories.
Although nonlinear waves occur in nearly all branches of physics and engi neering, there is an amazing degree of agreement about the fundamental con cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applica tions. These themes are interlocked, and this will be demonstrated throughout the text . The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications have been found.
Nonlinear Processes In Geophysical Fluid Dynamics
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Author : O.U. Velasco Fuentes
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Nonlinear Processes In Geophysical Fluid Dynamics written by O.U. Velasco Fuentes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Technology & Engineering categories.
A Tribute to the Scientific Work of Pedro Ripa
Water Waves Generated By Underwater Explosion
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Author : Bernard LeMéhauté
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1996
Water Waves Generated By Underwater Explosion written by Bernard LeMéhauté and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This is the first book on explosion-generated water waves. It presents the theoretical foundations and experimental results of the generation and propagation of impulsively generated waves resulting from underwater explosions. Many of the theories and concepts presented herein are applicable to other types of water waves, in particular, tsunamis and waves generated by the fall of a meteorite. Linear and nonlinear theories, as well as experimental calibrations, are presented for cases of deep and shallow water explosions. Propagation of transient waves on dissipative, nonuniform bathymetries together with laboratory simulations are analyzed and discussed.
Analytical And Numerical Methods For Wave Propagation In Fluid Media
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Author : K. Murawski
language : en
Publisher: World Scientific
Release Date : 2002
Analytical And Numerical Methods For Wave Propagation In Fluid Media written by K. Murawski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Nonlinear Wave Dynamics
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Author : J. Engelbrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Nonlinear Wave Dynamics written by J. Engelbrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.
Nonlinear Dynamics Of Rotating Shallow Water Methods And Advances
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Author :
language : en
Publisher: Elsevier
Release Date : 2007-04-03
Nonlinear Dynamics Of Rotating Shallow Water Methods And Advances written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-03 with Science categories.
The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. · Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context· Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)· Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)