Adiabatic Invariants in Large-Scale Atmospheric Dynamics

This book deals with the main principles of large-scale atmospheric dynamics on the basis of adiabatic motion constants. It can be considered as an introduction to the theory of quasi two-dimensional fluid motion concentrating primarily on nearly horizontal fluid parcel displacements in a stably stratified compressible fluid. A thorough mathematical treatment of the governing equations is coupled with a clear interpretation of the phenomena studied and accompanied by examples of real meteorological data analysis. Topics include a complete set of compressible fluid dynamic equations along with a survey on fluid dynamical conservation laws used in meteorology and atmospheric physics; the derivation of two-dimensional atmospheric models; large-scale flows; isentropic analysis of large-scale atmospheric processes; and the principles of kinetic energy sinks and their relation to the energy balance in the atmosphere.

Preface. Introduction. Equations of Motion and Conservation Laws. Reduced Equations of Atmospheric Dynamics. Hydrodynamic Instability of Conservative Motions. Isentropic Analysis of Large-scale Processes. Dissipative Processes in the Atmosphere. Reference. Index.

Kurgansky\, Michael V.