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Waves and Mean Flows

Series: Cambridge Monographs on Mechanics

By: Oliver Buhler(Author)

370 pages, 10 b/w photos, 25 illustrations

Cambridge University Press

Hardback | Aug 2009 | #181303 | ISBN-13: 9780521866361
Availability: Usually dispatched within 6 days Details
NHBS Price: £73.99 $97/€84 approx

About this book

Interactions between waves and mean flows play a crucial role in understanding the long-term aspects of atmospheric and oceanographic modelling. Indeed, our ability to predict climate change hinges on our ability to model waves accurately.

Waves and Mean Flows gives a modern account of the nonlinear interactions between waves and mean flows such as shear flows and vortices. A detailed account of the theory of linear dispersive waves in moving media is followed by a thorough introduction to classical wave-mean interaction theory. The author then extends the scope of the classical theory and lifts its restriction to zonally symmetric mean flows.

Waves and Mean Flows is a fundamental reference for graduate students and researchers in fluid mechanics, and can be used as a text for advanced courses; it will also be appreciated by geophysicists and physicists who need an introduction to this important area in fundamental fluid dynamics and atmosphere-ocean science.

"Buhler's well-organized textbook is excellent in all the most important ways [...] Waves and Mean Flows presents its readers with a clearly written text that is comfortable to read."
- Physics Today



Part I. Fluid Dynamics and Waves
1. Elements of fluid dynamics
2. Linear waves
3. Geometric wave theory
4. Dispersive waves and ray tracing

Part II. Wave-Mean Interaction Theory
5. Zonally symmetric wave-mean interaction theory
6. Internal gravity waves
7. Shear flows
8. Three-dimensional rotating flow
9. Rossby waves and balanced dynamics
10. Lagrangian-mean theory
11. Zonally symmetric GLM theory

Part III. Waves and Vortices
12. A framework for local interactions
13. Wave-driven vortex dynamics on beaches
14. Wave refraction by vortices


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Oliver Buhler is an Associate Professor in the Department of Mathematics at the Courant Institute of Mathematical Sciences, New York University.

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