Download or read book A Conservational Approach to the Interaction of Internal Wave and Surface Waves written by Denny R. S. Ko and published by . This book was released on 1971 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this report, a linearized solution to the wave and energy conservation equations has been obtained for the case of a one-dimensional internal wave train interacting with a single frequency surface wave train moving in the same direction. The results show a distinct difference from the theory of Hartle and Zachariasen. Favorable comparisons with the experimental results of Lewis are obtained. The so-called "steady state" solutions of Phillips is shown to be a special case of the present solution.
Download or read book Internal Wave Surface Wave Interactions Revisited written by and published by . This book was released on 1972 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of internal waves and surface waves in water is explored in the regions where the effects of the interaction are small. Explicit solutions for an arbitrary internal wave are given for various kinds of boundary conditions, with a detailed discussion of the conditions under which they are valid. The connection of the solutions with the conservation equations is made explicit, and the modifications produced by viscous damping are outlined.
Download or read book The Interaction of a Finite Amplitude Surface Wave with an Internal Wave written by James B. Fedele and published by . This book was released on 1973 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conservation equation approach is used to describe the interaction of a large amplitude surface wave with a long wavelength internal wave disturbance, including the effect of surface tension. The character of the equations is found to be dependent on a slope parameter as well as a parameter describing the relative importance of surface tension and gravity, but is independent of the disturbance. Both elliptic and hyperbolic domains exist. The system is parabolic if finite amplitude effects are neglected. The initial value problem for a small disturbance for the more pertinent elliptic case produces exponential time growth. Oscillatory, rather than growing solutions, occur for the hyperbolic case. Linear and quadratic time growth occur for the nonresonant and resonant (C = (C g sub 0)) small amplitude, initial-value problem. Finite amplitude effects remove the singularity present in the small amplitude case at C = (C g sub 0). A steady-state solution is seen to be of limited usefulness. Viscosity severely damps capillary waves. Conditions for which viscous damping can overcome the growth are found for both the capillary and gravity wave cases. (Author).
Download or read book The Ocean in Motion written by Manuel G. Velarde and published by Springer. This book was released on 2018-03-28 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 70th birthday of Eugene Morozov, the noted Russian observational oceanographer. It contains many contributions reflecting his fields of interest, including but not limited to tidal internal waves, ocean circulation, deep ocean currents, and Arctic oceanography. Special attention is paid to studies on internal waves and especially those on tidal internal waves in the Global Ocean. These papers describe the most important open problems concerning experimental studies of internal waves and their theoretical, numerical, and laboratory modeling. Further contributions investigate the physics of surface waves and their interaction with internal waves. Here, the focus is on describing interaction processes between internal waves and deep currents in the ocean, especially currents of Antarctic Bottom Water in abyssal fractures. They also touch on the problem of oceanic circulation and related processes in fjords, including those occurring under sea ice. Given its breadth of coverage, the book will appeal to anyone interested in a survey of ocean dynamics, ranging from historic perspectives to modern research topics.
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.
Download or read book A Study of the Interaction Between Internal Waves and Short Surface Waves written by Hua Wei and published by . This book was released on 1999 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Subharmonic Resonance of Internal Waves by Progressive Surface Waves written by David Foster Hill and published by . This book was released on 1997 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Interaction of Ocean Waves and Wind written by Peter Janssen and published by Cambridge University Press. This book was released on 2004-10-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was published in 2004. The Interaction of Ocean Waves and Wind describes in detail the two-way interaction between wind and ocean waves and shows how ocean waves affect weather forecasting on timescales of 5 to 90 days. Winds generate ocean waves, but at the same time airflow is modified due to the loss of energy and momentum to the waves; thus, momentum loss from the atmosphere to the ocean depends on the state of the waves. This volume discusses ocean wave evolution according to the energy balance equation. An extensive overview of nonlinear transfer is given, and as a by-product the role of four-wave interactions in the generation of extreme events, such as freak waves, is discussed. Effects on ocean circulation are described. Coupled ocean-wave, atmosphere modelling gives improved weather and wave forecasts. This volume will interest ocean wave modellers, physicists and applied mathematicians, and engineers interested in shipping and coastal protection.
Download or read book Internal Gravity Waves written by Bruce R. 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 study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.
Download or read book Internal Gravity Waves in the Shallow Seas written by Stanisław R. Massel and published by Springer. This book was released on 2015-07-07 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a comprehensive study of the internal ocean waves, which play a very important role in ocean physics providing mechanisms for ocean water mixing and circulation, as well as the transportation of gases, nutrients, and a very large number of marine organisms in the ocean body. In contrast to surface waves, the literature on internal waves is not so numerous, mainly due to the difficulties in experimental data collection and in the mathematical description of internal wave propagation. In this book, the basic mathematical principles, a physical description of the observed phenomena, and practical theoretical methods of determination of wave parameters as well as the original method of observation using moving sensors are presented. Special attention is paid to internal wave propagation over changing bottom topographies in shallow seas such as the Baltic Sea. The book is supplemented with an extended list of relevant and extended bibliographies, a subject index, and an author index.
Download or read book Surface Waves in the Presence of an Internal Wave written by Marshall Rosenbluth and published by . This book was released on 1971 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect on the normal modes for surface waves in a fluid due to the presence of a single, steady long wavelength internal wave is discussed. Approximate analytic solutions are found for both the resonant and non-resonant case (the former corresponding to a group velocity for the surface wave equal to the phase velocity of the internal wave). Solutions are also found for the case of an impulsively applied internal wave interacting with a surface wave, when the two waves are at or near resonance. (Author).
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1974 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Studies in Ocean Physics written by Anatoly Kistovich and published by Springer Nature. This book was released on 2021-04-20 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a comprehensive selection of ocean processes such as wave phenomena (surface, internal gravitational, and acoustic waves), the influence of surfactants and pollutants on the aquatic environment's dynamics, the models of the stratified natural environment, convective phenomena in the ocean, and the interaction of wave and convective processes. Finally, this book dedicates the last section to unsolved problems in the physics of anomalous waves. Most of the chapters present the most hegemonic theories but also they introduce the revulsive ideas based on alternative approaches. The underlying mathematical models are scientifically justified both at the physical and formal mathematical levels. In all known limiting cases lead to well-known classical results. They are in good agreement with experimental data. Several sections show the application of developed approaches to the description of natural phenomena. The book is of interest to specialists working in the field of ocean physics, as well as undergraduate and graduate students specializing in marine physics and oceanography.
Download or read book Dynamics of Internal Gravity Waves in the Ocean written by Yu.Z. Miropol'sky and published by Springer Science & Business Media. This book was released on 2001-04-30 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph creates a systematic interpretation of the theoretical and the most actual experimental aspects of the internal wave dynamics in the ocean. Firstly, it draws attention to the important physical effects from an oceanographical point of view which are presented in mathematical descriptions. Secondly, the book serves as an introduction to the range of modern ideas and the methods in the study of wave processes in dispersive media. The book is meant for specialists in physics of the ocean, oceanography, geophysics, hydroacoustics.
Download or read book The Interaction of Short wavelength Internal Waves with a Background Current written by Dave Broutman and published by . This book was released on 1982 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two approaches are used to explore the effects of shear on short-wavelength internal waves. In the first, the Taylor-Goldstein equation is solved exactly. The solutions reveal the inaccuracy of WKB predictions when applied to a curved velocity profile with a minimum Richardson number of order unity. To investigate internal waves in an inertial current, ray calculations are made. This second approach reveals that the process of refractive convergence, which includes the critical-layer interaction as a special case, operates at virtually all phases of the inertial oscillation and affects short waves of nearly al frequencies. It is also found, in contrast to the results of steady shear analyses, that short waves with phase speeds less that the mean flow maximum can propagate for several inertial periods without becoming unstable, and conversely that waves with initial phase speeds of two or three times the mean flow maximum can quickly become focussed to unstably high amplitudes. The final section examines the mean flow induced by three-dimensional, low-frequency, internal wave packets. Rotation alters the character of the flow so that the mean momentum is not equal to E/c, where c is the horizontal phase speed of the short waves and E is the intrinsic energy density. The generation of inertial waves by the internal wave field as found by Hasselmann (1970) for a wave field that is statistically homogeneous in the horizontal, is not predicted by a calculation that incorporates horizontal variations.
Download or read book Nonlinear Internal Waves in Lakes written by Kolumban Hutter and published by Springer Science & Business Media. This book was released on 2011-11-25 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Internal wave dynamics in lakes (and oceans) is an important physical component of geophysical fluid mechanics of ‘quiescent’ water bodies of the Globe. The formation of internal waves requires seasonal stratification of the water bodies and generation by (primarily) wind forces. Because they propagate in basins of variable depth, a generated wave field often experiences transformation from large basin-wide scales to smaller scales. As long as this fission is hydrodynamically stable, nothing dramatic will happen. However, if vertical density gradients and shearing of the horizontal currents in the metalimnion combine to a Richardson number sufficiently small (
Download or read book Interaction of Non saturated Surface Gravity Waves with Internal Waves written by J. Alex Thomson and published by . This book was released on 1972 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of surface gravity waves with non-dispersive internal waves is studied by solving the equations of motion in a coordinate system moving with the time independent surface current system induced by the internal wave. A range of surface wavelengths is found which is reflected by the current system (as seen in this coordinate system). In the ocean-fixed frame these waves are identified as waves which interact strongly with the internal waves and exchange energy with it. The effect on the surface wave pattern and the relation to surface slicks are discussed. (Author).
