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Waves and Mean Flows

Part of Cambridge Monographs on Mechanics

  • Date Published: November 2009
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511601958

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About the Authors
  • 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. 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.

    • Allows other branches of fluid dynamics to learn from recent advances in atmosphere ocean sciences
    • Contains material that is accessible to advanced undergraduate students as well as professional researchers
    • Its focus on fundamental fluid dynamics makes this book relevant to many areas of physics, including acoustics and plasma physics
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    Reviews & endorsements

    'Bühler'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

    '… this text is … the best existing source for a comprehensive introduction to the GLM theory. Many important concepts, such as the development of Lagrangian-mean divergence in divergence-free Eulerian flows, are explained with clarity, often through the use of elegant examples.' R. M. Samelson, Oregon State University

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    Product details

    • Date Published: November 2009
    • format: Adobe eBook Reader
    • isbn: 9780511601958
    • contains: 10 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    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

  • Author

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

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