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For the dynamics of large- and medium-scale motions in the oceans and the atmosphere, a simplified rotating shallow water model, obtained by vertical averaging, is used throughout the book in order to explain the fundamentals, and to give in-depth treatment of important dynamical processes.
List of contents
- PART I: Modelling Large-Scale Oceanic and Atmospheric Flows: From Primitive to Rotating Shallow Water Equations and Beyond
- 1: Introduction
- 2: Primitive equations model
- 3: Simplifying primitive equations: rotating shallow water models and their properties
- 4: Wave motions in rotating shallow water with boundaries, topography, at the equator, and in laboratory
- 5: Getting rid of fast waves: slow dynamics
- 6: Vortex dynamics on the f- and beta- plane and wave radiation
- 7: Rotating shallow water models as quasilinear hyperbolic systems, and related numerical methods
- PART II: Understanding Fundamental Dynamical Phenomena with Rotating Shallow Water Models
- 8: Geostrophic adjustment and wave-vortex (non)interaction
- 9: RSW modons, and their surprising properties. RSW turbulence
- 10: Instabilities of jets and fronts and their nonlinear evolution
- 11: Instabilities in cylindrical geometry: vortices and laboratory flows
- 12: Resonant wave interactions and resonant excitation of waveguide modes
- 13: Wave turbulence
- PART III: Generalisations of Standard Rotating Shallow-Water Model, and Their Applications
- 14: Rotating shallow-water models with horizontal density and/or temperature gradients
- 15: Rotating shallow-water models with moist convection
- 16: Rotating shallow-water models with full Coriolis force
About the author
Vladimir Zeitlin graduated from Dnipropetrovsk University (Ukraine) in 1976, and gained his PhD in theoretical and mathematical physics in 1980 from the Levedev Physical Institute (Moscow). Trained as a theoretical physicist, he moved his focus to geophysical fluid dynamics in the early 1980s. He worked at the Institute of Atmospheric Physics (Moscow) on vortex dynamics, wave-vortex interactions and turbulence. Later, after moving to France, V. Zeitlin joined the Laboratory of Dynamical Meteorology and then became Professor at the University P. and M. Curie (now Sorbonne University) and École Normale Supérieure (Paris). V. Zeitlin is now Professor Emeritus, at Sorbonne University.
Summary
For the dynamics of large- and medium-scale motions in the oceans and the atmosphere, a simplified rotating shallow water model, obtained by vertical averaging, is used throughout the book in order to explain the fundamentals, and to give in-depth treatment of important dynamical processes.
