Complete with numerous exercise sets and solutions, Dynamics of the Atmosphere is written for advanced undergraduate and graduate students of meteorology and atmospheric science. The book consists of two parts, the first presenting the mathematical tools needed for a thorough understanding of dynamic atmospheric phenomena discussed in the second part.
Complete with numerous exercise sets and solutions, Dynamics of the Atmosphere is written for advanced undergraduate and graduate students of meteorology and atmospheric science. The book consists of two parts, the first presenting the mathematical tools needed for a thorough understanding of dynamic atmospheric phenomena discussed in the second part.
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.
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.
Rezensionen
'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
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