Geophysical Fluid Dynamics Understanding (almost) everything with rotating shallow water models

by Zeitlin, Vladimir

• ISBN13: 9780198804338
• ISBN10: 0198804334
• Format: Hardcover
• Copyright: 2018-04-15
• Publisher: Oxford University Press

Author Biography

Vladimir Zeitlin, Professor, University P. and M. Curie and Ecole Normale Superieure

Vladimir Zeitlin graduated from the Oles Honchar Dnipropetrovsk National University (Ukraine) in 1976, and gained his PhD in theoretical and mathematical physics in 1980 from the Physical Institute (Moscow). Being trained as a theoretical phycist, he moved his focus to geophysical fluid dynamics in the early 1980s. He worked as the Institute of Atmospheric Physics (Moscow) on vortex dynamics, wave-vortex interactions and turbulence. Later, afer moving to France, Zeitlin joined the Laboratory of Dynamical Meteorology and then become Professor at the University P. and M. Cure and Ecole Normal Superieure (Paris).

Table 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 II: 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