The Vertical Propagation Of Internal Gravity Waves In A Compressible Atmosphere
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Internal Gravity Waves
Author | : Bruce R. Sutherland |
Publisher | : Cambridge University Press |
Total Pages | : 395 |
Release | : 2010-09-02 |
Genre | : Science |
ISBN | : 1316184323 |
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.
On the Propagation of Atmospheric Gravity Waves in a Non-uniform Wind Field
Author | : Ahmad Talaei |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : |
Atmospheric gravity waves play fundamental roles in a broad-range of dynamical processes extending throughout the Earth0́9s neutral atmosphere and ionosphere. In this paper, we present a modified form for the acoustic-gravity wave equation and its dispersion relationships for a compressible and non-stationary atmosphere in hydrostatic balance. Importantly, the solutions have been achieved without the use of the well-known Boussinesq approximation which have been used extensively in previous studies. We utilize the complete set of governing equations for a compressible atmosphere with non-uniform airflows to determine an equation for vertical velocity of possible atmospheric waves. This intricate wave equation is simplified by a proper substitution producing a useful new wave-like equation for acoustic-gravity waves. The substitution introduces a term omega (intrinsic frequency) in the amplitude of the wave solution for the vertical velocity of acoustic-gravity waves. This term may play a significant role in directional filtering of atmospheric waves in realistic atmospheres exhibiting strong and highly variable winds. It is also proven that the only difference in the wave equation of compressible fluid when non-uniform wind is added to the equations of motion is the term with second derivative of Ln(omega) with respect to height. These new solutions may be particularly important for improved gravity wave propagation studies in the upper mesosphere and thermosphere/ionosphere regions.
Internal Gravity Waves Observed in Mesospheric Temperature Measurements
Author | : S. P. Zimmerman |
Publisher | : |
Total Pages | : 26 |
Release | : 1970 |
Genre | : Atmosphere, Upper |
ISBN | : |
Temperature height profiles determined from falling sphere and Arcasonde measurements, made at White Sands, New Mexico from 23 to 25 January 1967, exhibit unusually large variability in the vicinity of the mesopause. Spatial and temporal analysis of the data exhibit a wave-like structure with vertical half wavelengths of the order of 3 and 30 km and a characteristic period of approximately 12 hours for the longer wavelength. Comparison with meteorological data below 60 km and application of appropriate theory leads to the tentative suggestion that the observed temperature variations were due to internal gravity waves. The analysis also infers that the source of these waves was a large scale, low altitude (approximately 200 mb) synoptic disturbance. This work has been performed in support of re-entry studies for Air Force space vehicles and investigations for improving DOD missile impact prediction capability. (Author).
Propagation of Internal Gravity Waves in a Thermally Stratified Atmosphere
Author | : Jack Phillip Friedman |
Publisher | : |
Total Pages | : 22 |
Release | : 1965 |
Genre | : Gravity waves |
ISBN | : |
Scientific and Technical Aerospace Reports
Author | : |
Publisher | : |
Total Pages | : 456 |
Release | : 1995 |
Genre | : Aeronautics |
ISBN | : |
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
An Introduction to Atmospheric Gravity Waves
Author | : Carmen J. Nappo |
Publisher | : Elsevier |
Total Pages | : 300 |
Release | : 2002-09-12 |
Genre | : Science |
ISBN | : 0080491669 |
Gravity waves exist in all types of geophysical fluids, such as lakes, oceans, and atmospheres. They play an important role in redistributing energy at disturbances, such as mountains or seamounts and they are routinely studied in meteorology and oceanography, particularly simulation models, atmospheric weather models, turbulence, air pollution, and climate research. An Introduction to Atmospheric Gravity Waves provides readers with a working background of the fundamental physics and mathematics of gravity waves, and introduces a wide variety of applications and numerous recent advances. Nappo provides a concise volume on gravity waves with a lucid discussion of current observational techniques and instrumentation. Foreword is written by Prof. George Chimonas, a renowned expert on the interactions of gravity waves with turbulence. CD containing real data, computer codes for data analysis and linear gravity wave models included with the text
The Effect of Weak Non-linearity on Vertically Propagating Internal Gravity Waves in the Atmosphere
Author | : Mostafa M. Ibrahim |
Publisher | : |
Total Pages | : 272 |
Release | : 1982 |
Genre | : Atmospheric waves |
ISBN | : |
"The linear and weakly non-linear limits of two-dimensional gravity waves in an incompressible, inviscid and stably stratified atmosphere are studied. The linear results indicate the growth of waves propagating upward leading to the breakdown of the linear theory. The three-wave resonant interaction theory indicates an energy cascade from a vertically propagating wave (primary wave) to waves having smaller absolute values of Doppler shifted frequency ((OMEGA)). When the non-dimensional parameter" --
Waves in Fluids
Author | : Sir M. J. Lighthill |
Publisher | : Cambridge University Press |
Total Pages | : 528 |
Release | : 2001-11-15 |
Genre | : Mathematics |
ISBN | : 9780521010450 |
A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.