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Dynamics of the Atmosphere

Dynamics of the Atmosphere
A Course in Theoretical Meteorology


  • Date Published: April 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521006668

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About the Authors
  • Dynamics of the Atmosphere consists of two parts: the first presenting the mathematical tools needed for a thorough understanding of the topics covered in the second part of the book. The second part begins with the derivation of the equation describing the atmospheric motion on the rotating earth. Subjects tackled in subsequent chapters include kinematics of the atmosphere (including vorticity and circulation theorems), wave motion in the atmosphere, inertial and dynamic stability, and turbulent systems in the atmosphere. Finally, newer methods of weather prediction, such as the spectral technique and the stochastic dynamic method, are introduced in order to demonstrate their potential for extending the forecasting range. Complete with numerous exercise sets and solutions, this textbook has been written for advanced undergraduate and graduate students of meteorology and other related sciences. It may also be used as a reference source by professional meteorologists and researchers in atmospheric science.

    • All equations are derived in great detail making it easy for the student to follow the mathematical developments
    • Contains numerous student exercises for which solutions are provided
    • Includes a discussion of novel methods of weather prediction which have potential for extending the forecasting range as computers become increasingly powerful
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    Reviews & endorsements

    'This book will be appreciated by readers who respect and require the mathematic rigour and completeness of mathematical derivations presented … a valuable reference source.' International Journal of Climatology

    '… well written and illustrated … I enthusiastically recommend it to any scientist seeking a comprehensive and accurate treatment f the major subject areas in modern atmospheric dynamics.' EOS

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    Product details

    • Date Published: April 2003
    • format: Paperback
    • isbn: 9780521006668
    • length: 738 pages
    • dimensions: 248 x 176 x 36 mm
    • weight: 1.475kg
    • contains: 188 b/w illus. 4 tables 161 exercises
    • availability: Available
  • Table of Contents

    M1. Algebra of vectors
    M2. Vector functions
    M3. Differential relations
    M4. Coordinate transformations
    M5. The method of covariant differentiation
    M6. Integral operations
    M7. Introduction to the concepts of nonlinear dynamics
    1. The laws of atmospheric motion
    2. Scale analysis
    3. The material and the local description of flow
    4. Atmospheric flow fields
    5. The Navier-Stokes stress tensor
    6. The Helmholtz theorem
    7. Kinematics of two-dimensional flow
    8. Natural coordinates
    9. Boundary surfaces and boundary conditions
    10. Circulation and vorticity theorems
    11. Turbulent systems
    12. An excursion into the spectral turbulence theory
    13. The atmospheric boundary-layer
    14. Wave motion in the atmosphere
    15. The barotropic model
    16. Rossby waves
    17. Inertial and dynamic stability
    18. The equation of motion in general coordinate systems
    19. The geographical coordinate system
    20. The stereographic coordinate system
    21. Orography-following coordinate systems
    22. The stereographic system with a generalised vertical coordinate
    23. A quasi-geostrophic baroclinic model
    24. A two-level prognostic model: baroclinic instability
    25. An excursion into numerical procedures
    26. Modeling of atmospheric flow by spectral techniques
    27. Predictability
    Answers to problems
    List of commonly used symbols

  • Authors

    Wilford Zdunkowski, Johannes Gutenberg Universität Mainz, Germany

    Andreas Bott, Rheinische Friedrich-Wilhelms-Universität Bonn

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