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Internal Gravity Waves
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TLDR
In this paper, the authors provide a comprehensive treatment of the theory for small and large amplitude internal gravity waves. And they provide a 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.Abstract:
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.read more
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Book
Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation
TL;DR: A comprehensive unified treatment of atmospheric and oceanic fluid dynamics is provided in this paper, including rotation and stratification, vorticity, scaling and approximations, and wave-mean flow interactions and turbulence.
Journal ArticleDOI
The deep propagating gravity wave experiment (deepwave): an airborne and ground-based exploration of gravity wave propagation and effects from their sources throughout the lower and middle atmosphere
David C. Fritts,Ronald B. Smith,Michael J. Taylor,James D. Doyle,Stephen D. Eckermann,Andreas Dörnbrack,Markus Rapp,Bifford P. Williams,P.-Dominique Pautet,Katrina Bossert,Neal R. Criddle,Carolyn A. Reynolds,P. Alex Reinecke,Michael Uddstrom,Michael J. Revell,Richard Turner,Bernd Kaifler,Johannes Wagner,Tyler Mixa,Christopher G. Kruse,Alison D. Nugent,Campbell D. Watson,Sonja Gisinger,Steven M. Smith,Ruth S. Lieberman,Brian Laughman,James J. Moore,William O. J. Brown,Julie Haggerty,Alison Rockwell,Greg Stossmeister,Steven F. Williams,Gonzalo Hernandez,Damian J. Murphy,Andrew R. Klekociuk,Iain M. Reid,Jun Ma +36 more
TL;DR: The Deep Propagating Gravity Wave Experiment (DEEPWAVE) was designed to quantify gravity wave dynamics and effects from orographic and other sources to regions of dissipation at high altitudes as discussed by the authors.
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Experimental study of parametric subharmonic instability for internal waves
TL;DR: In this paper, the parametric subharmonic instability (PSI) was studied experimentally, which corresponds to the destabilization of a primary plane wave and the spontaneous emission of two secondary waves, of lower frequencies and different wave vectors.
Journal ArticleDOI
Experimental study of parametric subharmonic instability for internal plane waves
TL;DR: In this article, the parametric subharmonic instability (PSI) was studied experimentally, which corresponds to the destabilization of a primary plane wave and the spontaneous emission of two secondary waves, of lower frequencies and different wave vectors.
References
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Journal ArticleDOI
Long Nonlinear Internal Waves
TL;DR: In this paper, an overview of the properties of steady internal solitary waves and the transient processes of wave generation and evolution, primarily from the point of view of weakly nonlinear theory, of which the Korteweg-de Vries equation is the most frequently used example.
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Some Aspects of the Flow of Stratified Fluids
TL;DR: In this paper, the general equation of steady-state motion derived in Part I is integrated to yield the flow of a stratified fluid over an obstacle of finite dimensions, and the results indicate a more or less complicated laminar wave motion for obstacles of maximum height below a certain value.
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Some Aspects of the Flow of Stratified Fluids: I. A Theoretical Investigation
TL;DR: In this paper, it was shown that an internal Froudc number of about 1/3 divides the motion into two states, one of which is called supercritical, the other subcritical.
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The Generation of Long Nonlinear Internal Waves in a Weakly Stratified Shear Flow
Chi-Yuan Lee,Robert C. Beardsley +1 more
TL;DR: In this article, an internal Korteweg and deVries (KdV) type equation for the stream function is derived for a weakly density stratified shear flow by using a three-parameter expansion method where the three small parameters correspond to nonlinear, dispersive, and non-Boussinesq effects.