Dynamics of the Atmosphere
Dynamics of the Atmosphere
Andreas Bott, Rheinische Friedrich-Wilhelms-Universität Bonn
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
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
Product details
February 2005Adobe eBook Reader
9780511074943
0 pages
0kg
188 b/w illus. 4 tables 161 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Preface
- 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
- References
- Index.
