Asymptotic Modeling of Atmospheric Flows

1. Front Matter

   Pages I-XII

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2. Introduction

   • Radyadour Zeytounian

   Pages 1-4

3. The Equations

   • Radyadour Zeytounian

   Pages 5-25

4. Internal Waves and Filtering

   • Radyadour Zeytounian

   Pages 26-43

5. Rossby Waves

   • Radyadour Zeytounian

   Pages 44-62

6. A Presentation of Asymptotic Methods

   • Radyadour Zeytounian

   Pages 63-74

7. Some Applications of the MMAE and MSM

   • Radyadour Zeytounian

   Pages 75-106

8. The Quasi-static Approximation

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   Pages 107-141

9. The Boussinesq Approximation

   • Radyadour Zeytounian

   Pages 142-176

10. The Isochoric Approximation

    • Radyadour Zeytounian

    Pages 177-201

11. The Deep Convection Approximation

    • Radyadour Zeytounian

    Pages 202-219

12. The Quasi-geostrophic and Ageostrophic Models

    • Radyadour Zeytounian

    Pages 220-262

13. Models Derived from the Theory of Low Mach Number Flows

    • Radyadour Zeytounian

    Pages 263-294

14. The Models for the Local and Regional Scales Atmospheric Flows

    • Radyadour Zeytounian

    Pages 295-378

15. Back Matter

    Pages 379-396

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The present work is not exactly a "course", but rather is presented as a monograph in which the author has set forth what are, for the most part, his own results; this is particularly true of Chaps. 7-13. Many of the problems dealt with herein have, since the school year 1975-76, been the subject of a series of graduate lectures at the "Universire des Sciences et Techniques de Lille I" for students preparing for the "Diplome d'Etudes Ap­ profondies de Mecanique (option fluides)". The writing of this book was thus strongly influenced by the author's own conception of meteorology as a fluid mechanics discipline which is in a privi­ leged area for the application of singular perturbation techniques. It goes without saying that the modeling of atmospheric flows is a vast and complex problem which is presently the focal point of many research projects. The enonnity of the topic explains why many important questions have not been taken up in this work, even among those which are closely related to the subject treated herein. Nonetheless, the author thought it worthwhile for the development of future research on the modeling of atmospheric flows (from the viewpoint of theoretical fluid mechanics) to bring forth a book specifying the problems which have already been resolved in this field and those which are, as yet, unsolved.

• Meteorology
• fluid mechanics
• mechanics
• fluid- and aerodynamics

• Laboratoire de Mécanique, de Lille, Université de Lille I, Villenueve d’Ascq Cédex, France

  Radyadour Zeytounian

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