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Nonlinear Wave Propagation In Stratified Shear Flows
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Book Synopsis Nonlinear Phenomena In Physics Of Fluids And Plasmas - Proceedings Of The Enea Workshop On Nonlinear Dynamics – Volume 2 by : M Pettini
Download or read book Nonlinear Phenomena In Physics Of Fluids And Plasmas - Proceedings Of The Enea Workshop On Nonlinear Dynamics – Volume 2 written by M Pettini and published by World Scientific. This book was released on 1991-03-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Workshop in nonlinear dynamics and mathematical physics, organized by the Italian Nuclear Energy Agency (ENEA) in Bologna, is intended to give an updated overview of modern trends in the field of nonlinear dynamics with emphasis on applications to physics, quantum theory, plasma physics and fluid dynamics, optics and electrodynamics, computer simulation, and neural networks.
Book Synopsis Nonlinear Waves in Waveguides by : Sergei B. Leble
Download or read book Nonlinear Waves in Waveguides written by Sergei B. Leble and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: S.B. Leble's book deals with nonlinear waves and their propagation in metallic and dielectric waveguides and media with stratification. The underlying nonlinear evolution equations (NEEs) are derived giving also their solutions for specific situations. The reader will find new elements to the traditional approach. Various dispersion and relaxation laws for different guides are considered as well as the explicit form of projection operators, NEEs, quasi-solitons and of Darboux transforms. Special points relate to: 1. the development of a universal asymptotic method of deriving NEEs for guide propagation; 2. applications to the cases of stratified liquids, gases, solids and plasmas with various nonlinearities and dispersion laws; 3. connections between the basic problem and soliton- like solutions of the corresponding NEEs; 4. discussion of details of simple solutions in higher- order nonsingular perturbation theory.
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 Selected Topics in Nonlinear Wave Mechanics by : C.I. Christov
Download or read book Selected Topics in Nonlinear Wave Mechanics written by C.I. Christov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.
Book Synopsis Nonlinear Waves by : Lokenath Debnath
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.
Book Synopsis Environmental Stratified Flows by : Roger Grimshaw
Download or read book Environmental Stratified Flows written by Roger Grimshaw and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of flows in density-stratified fluids has been and remains now an important topic for scientific enquiry. Such flows arise in many contexts, ranging from industrial settings to the oceanic and atmospheric environments. It is the latter topic which is the focus of this book. Both the ocean and atmosphere are characterised by the basic vertical density stratification, and this feature can affect the dynamics on all scales ranging from the micro-scale to the planetary scale. The aim of this book is to provide a “state-of-the-art” account of stratified flows as they are relevant to the ocean and atmosphere with a primary focus on meso-scale phenomena; that is, on phenomena whose time and space scales are such that the density stratification is a dominant effect, so that frictional and diffusive effects on the one hand and the effects of the earth’s rotation on the other hand can be regarded as of less importance. This in turn leads to an emphasis on internal waves.
Book Synopsis Wave Interactions and Fluid Flows by : Alex D. D. Craik
Download or read book Wave Interactions and Fluid Flows written by Alex D. D. Craik and published by Cambridge University Press. This book was released on 1988-07-07 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena covers fluids both at rest and in their shear flows. It includes, on the one hand, water waves, internal waves, and their evolution, interaction, and associated wave-driven means flow and, on the other hand, phenomena on nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. This study provide a particularly valuable bridge between these two similar, yet different, classes of phenomena. It will be of value to oceanographers, meteorologists, and those working in fluid mechanics, atmospheric and planetary physics, plasma physics, aeronautics, and geophysical and astrophysical fluid dynamics.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Internal Gravity Waves by : Bruce Sutherland
Download or read book Internal Gravity Waves written by Bruce Sutherland and published by Cambridge University Press. This book was released on 2010-09-02 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive treatment of the theory for small and large amplitude internal gravity waves, with illustrative examples and exercises.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topographic Effects in Stratified Flows by : Peter G. Baines
Download or read book Topographic Effects in Stratified Flows written by Peter G. Baines and published by Cambridge University Press. This book was released on 2022-01-27 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the nature of density-stratified flow over and around topography, including applications to the flow of the atmosphere and ocean.
Book Synopsis Advances In Coastal And Ocean Engineering, Vol 3 by : Philip L-f Liu
Download or read book Advances In Coastal And Ocean Engineering, Vol 3 written by Philip L-f Liu and published by World Scientific. This book was released on 1997-02-20 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume, the third in the series, presents the latest topics for discussion, which provides invaluable information to coastal and ocean engineers around the world. In the first paper of this volume, entitled “Internal Solitary Waves”, Grimshaw reviews the basic theory of weakly nonlinear waves in an incompressible density-stratified fluid. The internal solitary waves solutions and effects such as friction, refraction and finite amplitude on internal solitary waves are also discussed. In the second paper entitled “The 3/2-Power Law for Ocean Wind Waves and Its Applications”, Toba gives a thorough review on the field evidence and physical background of the 3/2-power law and the associated wind-wave energy spectra. Several wind-wave prediction models are also discussed. Goda, in his paper entitled “Directional Wave Spectrum and Its Engineering Applications”, gives a brief historical overview of the development of directional wave spectrum. He presents several standard formulas for directional spreading function for engineering applications and discusses the effects of directional spreading on nearshore currents and wave forces on coastal structures. In a companion paper entitled “Analysis of the Directional Wave Spectrum from Field Data”, Hashimoto describes the maximum entropy principle method, Bayesian directional spectrum estimation method and the extended maximum entropy method for estimating directional wave spectrum. Hashimoto also introduces a new developed Doppler-type directional wave meter for field measurements. Finally, in “Reliability-Based Design of Coastal Structures”, Barcharth introduces a design procedure that makes it possible to optimize a design and/or to design to a specific failure probability level.
Download or read book NBS Special Publication written by and published by . This book was released on 1918 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stratified Flows written by Chia-Shun Yih and published by Elsevier. This book was released on 2012-12-02 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stratified Flows is the second edition of the book Dynamics of Nonhomogenous Fluids. This book discusses the flow of a fluid of variable density or entropy in a gravitational field. In this edition, corrections have been made; unnecessary parts have been omitted; and new sections as well as notes on results related to the subject have been added. This book includes a general discussion of the effects of density or entropy and the structure of stratified flows; waves of small amplitude; the Eigenvalue problem; dependence of phase velocity on wavelength; wave motion; steady flows of finite amplitude; and types of solutions for steady flows. This edition also covers other topics such as hydrodynamic stability; flows in porous media; and the analogy between gravitational and electromagnetic forces. This text is recommended for those in the field of physics who would like to be familiarized with stratified flows and its related concepts.
Book Synopsis Applied Wave Mathematics II by : Arkadi Berezovski
Download or read book Applied Wave Mathematics II written by Arkadi Berezovski and published by Springer Nature. This book was released on 2019-11-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.
Book Synopsis Physical Processes in Estuaries by : Job Dronkers
Download or read book Physical Processes in Estuaries written by Job Dronkers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Physical Processes in Estuaries the present day knowledge of the physics of transport phenomena in estuaries and their mathematical treatment is summarized: It is divided into following parts: - Water movements in estuaries - Estuarine fronts and river plumes - Internal waves and interface stability - Fine sediment transport, aggregation of particles, settling velocity of mud flocs - Sedimentation and erosion of fine sediments. For each topic an up-to-date review and recommendations for future research are given, followed by results of original studies. Since estuarine environments are the first to be threatened by urbanization and industrial exploitation this book is an important tool for students and researchers of environmental problems as well as for consultants and water authorities.
Book Synopsis Advances In Coastal And Ocean Engineering, Vol 4 by : Philip L-f Liu
Download or read book Advances In Coastal And Ocean Engineering, Vol 4 written by Philip L-f Liu and published by World Scientific. This book was released on 1999-06-17 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of five excellent review papers. In the first paper, “A Review of Coastal Wave Modeling: The Physical and Mathematical Problems”, N E Huang presents a summary of the state-of-the-art of wave modeling in deep waters. He points out several shortcomings in existing modeling approaches and expresses the urgent need for developing a statistical theory of surface waves in shallow waters. Huang believes that the statistical theory can be formulated as the soliton turbulence. He also points out other important issues in wave modeling, including the air-sea interaction processes, and the physics of the wave-current and dissipation processes. In the second paper A C Radder focuses his discussion on the “Hamiltonian Dynamics of Water Waves”. He demonstrates that the Hamiltonian theory of surface waves can be formulated in terms of surface elevation and the velocity potential at the free surface as canonical variables. Several evolution equations, can be readily obtained. Radder also points out the need to develop a stochastic wave model in the shallow-water environment.The maximum runup is arguably the single most important parameter in the design of coastal structures and for the evaluation of the inundation potential of storm surges and tsunamis. C E Synolakis presents a thorough review of the “Exact Solutions of Shallow-Water Wave Equations”. For a single sloping beach, the evolution and runup of solitary, dipole, N and cnoidal waves are discussed. These solutions are then extended to more practical problems.The last two papers concern the flow and sediment motions near the seafloor. In their paper, “Boundary Layer and Sediment Dynamics Under Sea Waves”, P Blondeaux and G Vittori give an expert review of the recent contributions on the understanding of the interaction of the coherent vortex with cohesionless or partially cohesive sediments in a boundary layer. The formation and development of small-scale bedforms in the coastal regions are also discussed. Finally, in “Wave Scour Around Structures”, B M Sumer and J Fredsøe review the scouring processes around various types of structures. Many recent experimental data and theoretical developments are presented.
