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Other titles in the Cambridge Monographs on Mechanics series:
Waves and Mean Flows (Cambridge Monographs on Mechanics)by Oliver Buhler
Synopses & Reviews
Interactions between waves and mean flows play a crucial role in understanding the long-term aspects of atmospheric and oceanographic modeling. Indeed, our ability to predict climate change hinges on our ability to model waves accurately. This book 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. The book 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.
A modern account of the nonlinear interactions between waves and mean flows such as shear flows and vortices.
About the Author
Oliver Bühler is an Associate Professor in the Department of Mathematics at the Courant Institute of Mathematical Sciences, New York University.
Table of Contents
Preface; 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; Bibliography; Index.
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