# Dynamics of the Atmosphere: A Course in Theoretical Meteorology

Cambridge University Press, 4/10/2003

EAN 9780521006668, ISBN10: 052100666X

Paperback, 738 pages, 24.4 x 17 x 4.2 cm

Language: English

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.

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.

'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