Download or read book Nonlinear Internal Gravity Waves and Their Interaction with the Mean Wind written by Roger Hamilton James Grimshaw and published by . This book was released on 1975 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Nonlinear Internal Gravity Wave Propagation Saturation and Absorption in the Atmosphere written by Timothy J. Dunkerton and published by . This book was released on 1986 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical and theoretical studies of internal gravity waves have been performed to understand the role of convective instabilities in nonlinear, large amplitude gravity waves; the effects of saturation and self acceleration on transient gravity wave, mean flow interaction; the role of local convective instabilities in producing turbulent modifications of potential temperature and trace constituents in breaking gravity waves; and the propagation and refraction of inertial and non inertial gravity waves through observed middle atmosphere wind fields. Simulations with a two dimensional, nonhydrostatic gravity wave model indicate that convective adjustment in unstable gravity waves results in a mean flow modification closely approximated by WKB saturation theory in cases where the incident wave field is nearly monochromatic. Convection also limits, and practically prevents, the evolution to a reflecting nonlinear critical layer, even when the incident wave field is not monochromatic. Some critical layer dislocation is observed due to self acceleration in transient gravity waves. Localization of turbulence in a convectively unstable gravity wave can greatly reduce the mixing of heat and trace constituents and implies a large turbulent Prandtl number. Significant lateral movement and refraction of gravity wave rays is observed for inertia gravity waves in realistic wintertime flows. A formula is derived for the onset of dynamical instability in inertia-gravity waves, having a lower threshold than the corresponding amplitude required for convective instability.
Download or read book Nonlinear Interactions Among Standing Surface and Internal Gravity Waves written by Terrence Michael Joyce and published by . This book was released on 1972 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: A laboratory study was undertaken to measure the momentum transfer from surface to internal gravity waves in a nonlinear, resonant interaction. The interacting waves form triads for which (Sigma sub is)- (Sigma sub 2S) plus or minus (Sigma subI) = 0 and (Kappa sub is)-(Kappa sub 2S) plus or minus (Kappa sub I) = 0; Sigma sub j and Kappa sub j being the frequency and wavenumber of the jth wave. In particular, the experiment is designed to model a generating mechanism for high frequency, oceanic internal waves. Unlike previously published results involving single triplets of interacting waves, all waves here considered are standing waves. The growth to steady state of a resonant internal wave is observed while two deep water surface eigen modes are simultaneously forced by a paddle. Results are compared to theoretical predictions which assume, ab initio, all waves to be standing. Inclusion of viscous side wall dissipation and slight detuning permit predictions of steady state amplitudes and phases as well as initial growth rates. (Author).
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 The Upper Mesosphere and Lower Thermosphere written by R. M. Johnson and published by American Geophysical Union. This book was released on 1995-01-09 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 87. This volume provides a review of progress made in recent years in experimental and theoretical investigation of the upper mesosphere and lower thermosphere and coupling between these regions and the ionosphere. Detailed study of the mesosphere/lower thermosphere/ionosphere (MLTI) region has historically been difficult because of its relative inaccessibility to direct measurement techniques and the complex and highly coupled processes which occur there. Although we have still not successfully unraveled all these complex interactions, we have made significant recent progress toward a fuller understanding of the basic state of the MLTI and of the dominant wave and coupling processes. This monograph includes a set of tutorial papers, which review our current understanding of aspects of the MLTI. These tutorials are interspersed with a selection of papers describing research progress on various topics of current interest in this region. The book should therefore be useful both to the newcomer, as an introduction to this field of research, and to the more experienced researcher, providing an overview of research in progress as well as a convenient reference collection of papers describing our current understanding.
Download or read book The Regeneration of Surface Waves by Wind in Interactions with Internal Gravity Waves written by Owen M. Phillips and published by . This book was released on 1973 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Interactions Among Standing Surface and Internal Gravity Waves written by and published by . This book was released on 1906 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A laboratory study has been undertaken to measure the momentum transfer from surface to internal gravity waves in a nonlinear, resonant interaction. The interacting waves form triads for which σ1s - σ2s " σI = 0 and κ1s - κ2s " κI = 0; σj and κj being the frequency and wavenumber of the jth wave. In particular, the experiment is designed to model a generating mechanism for high frequency, oceanic internal waves. Unlike previously published results involving single triplets of interacting waves, all waves here considered are standing waves. The growth to steady state of a resonant internal wave is observed while two deep water surface eigen modes are simultaneously forced by a paddle. Results are compared to theoretical predictions which assume, ab initio, all waves to be standing. Inclusion of viscous side wall dissipation and slight detuning permit predictions of steady state amplitudes and phases as well as initial growth rates. Good agreement is found between predieted and measured amplitudes and phases. The experiments also suggest that the internal wave in a resonant triad can act as a catalyst, permitting appreciable energy transfer among surface waves.
Download or read book THE INTERACTION OF INTERNAL GRAVITY WAVES AND ATMOSPHERIC WINDS WITH SHEAR written by KEITH LAVERNE BEKOFSKE and published by . This book was released on 1972 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Simpler Aspect of Nonlinear Fluctuating Deep Water Gravity Waves written by B.J. West and published by Springer. This book was released on 1981-08 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 2013-03-09 with total page 413 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 Waves in the Ocean written by P.H. LeBlond and published by Elsevier. This book was released on 1981-01-01 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book which will be welcomed not only by researchers and engineers, but also by teachers and students, as it contains the only comprehensive review of the dynamics of ocean waves. Existing books are now either out of date or restricted to specialized aspects of the subject, whereas this book covers all types of ocean waves, ranging from capillary to planetary waves. Because of its completeness of coverage, its use of elementary mathematics and the provision of numerous problems and exercises, the book will be an indispensable text for everyone. It is completed by a very lengthy bibliography which includes many references to the Russian literature.
Download or read book On the Simpler Aspects of Nonlinear Fluctuating Deep Water Gravity Waves weak Interaction Theory written by Bruce J. West and published by . This book was released on 1981 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Internal Gravity Waves and Small scale Turbulence written by Peter Müller and published by . This book was released on 1984 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Meteorological and Geoastrophysical Abstracts written by and published by . This book was released on 1993 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Selection Rules for the Nonlinear Interactions of Internal Gravity Waves and Inertia Gravity Waves written by Chung-Hsiang Jiang and published by . This book was released on 2010 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation methods are used to calculate nonlinear interaction of waves, however most analyses skip the question as to whether the zeroth order solutions exist. The dispersion relation for internal gravity waves does not relate the magnitude of the wave vector and its frequency, rather it relates the frequency and direction of the wave vector. Thus, spatially columnated beams of internal waves are made of a continuum of plane waves with different wavelengths, but the same magnitude of frequency. For two parent beams to create a daughter, the plane waves within the parent and daughter beams must obey the triad condition (the spatial wave vector of the daughter equals the sum of the parents' vectors, and temporal frequency of the daughter equals the sum of the parents' frequencies) and the dispersion relation. Contrary to what is assumed implicitly, these conditions cannot always be satisfied. If they could, then the interaction of two beams of gravity waves would produce 8 daughter beams, consisting of two St. Andrew's crosses (each with 4 beams). The beams in one cross have a frequency equal to the sum of the frequencies of the parents and the beams in the other have a frequency equal to the difference. At least two daughter beams cannot exist for each cross according to the selection rules derived in this work. Similar selection rules are obtained for the interaction among inertia-gravity conical waves. When two parent conical waves intersect, unlike the two-dimensional beams, the interaction area is not a single point. The intersection produces spatial continuous curves and there are no more than two intersection points in any horizontal plane with a normal vector parallel to gravity direction. Each intersection point is acted like the collision point of two-dimensional beam-beam interaction. As a result, at most two harmonic beams with a frequency either equal to the sum of the frequencies of the parents or to the difference, not a conical wave, are produced from the nonlinear interaction.
Download or read book Wave Turbulence written by Sergey Nazarenko and published by Springer Science & Business Media. This book was released on 2011-02-12 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Turbulence refers to the statistical theory of weakly nonlinear dispersive waves. There is a wide and growing spectrum of physical applications, ranging from sea waves, to plasma waves, to superfluid turbulence, to nonlinear optics and Bose-Einstein condensates. Beyond the fundamentals the book thus also covers new developments such as the interaction of random waves with coherent structures (vortices, solitons, wave breaks), inverse cascades leading to condensation and the transitions between weak and strong turbulence, turbulence intermittency as well as finite system size effects, such as “frozen” turbulence, discrete wave resonances and avalanche-type energy cascades. This book is an outgrow of several lectures courses held by the author and, as a result, written and structured rather as a graduate text than a monograph, with many exercises and solutions offered along the way. The present compact description primarily addresses students and non-specialist researchers wishing to enter and work in this field.
