Dynamics of the Atmosphere A Course in Theoretical Meteorology

About this book

Topics covered include; kinematics of the atmosphere, inertial and dynamic stability, turbulent systems, and new weather prediction methods with potential for extending the forcasting range. Also covers the mathematical tools needed for understanding these subjects.

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.

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