Quasi-Geostrophic Theory of Oceans and Atmosphere
Large-scale winds and currents tend to balance Coriolis and pressure gradient forces. The time evolution of these winds and currents is the subject of the quasi-geostrophic theory.
Chapter 1 presents concepts and equations of classical inertial fluid mechanics.
Chapter 2 deals with the equations of thermodynamics that close the governing equations of the fluids. Then, the motion is reformulated in a uniformly rotating reference frame.
Chapter 3 deals with the shallow-water model and the homogeneous model of wind-driven circulation. The chapter also describes a classical application of the Ekman layer to the atmosphere.
Chapter 4 considers the two-layer model, as an introduction to baroclinic flows, together with the concept of available potential energy.
Chapter 5 takes into account continuously stratified flows in the ocean and in the atmosphere.
The book contains a detailed presentation of mathematical computations, which allows the reader to concentrate on physical aspects of the subject A main unifying technique (asymptotic expansion based on scale analysis) is used throughout the book to develop various applications The book makes use of a new notation that facilitates the physical interpretation of mathematical formulas