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Adiabatic Invariants In Large Scale Atmospheric Dynamics

Author: Michael V. Kurgansky
Publisher: CRC Press
ISBN: 9780203216484
Size: 28.79 MB
Format: PDF, Docs
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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.

Fundamentals Of Geophysical Hydrodynamics

Author: Felix V. Dolzhansky
Publisher: Springer Science & Business Media
ISBN: 3642310338
Size: 17.83 MB
Format: PDF, ePub
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This newly-translated book takes the reader from the basic principles and conservation laws of hydrodynamics to the description of general atmospheric circulation. Among the topics covered are the Kelvin, Ertel and Rossby-Obukhov invariants, quasi-geostrophic equation, thermal wind, singular Helmholtz vortices, derivation of the Navier-Stokes equation, Kolmogorov's flow, hydrodynamic stability, and geophysical boundary layers. Generalizing V. Arnold's approach to hydrodynamics, the author ingeniously brings in an analogy of Coriolis forces acting on fluid with motion of the Euler heavy top and shows how this is used in the analysis of general atmospheric circulation. This book is based on popular graduate and undergraduate courses given by F.V.Dolzhansky at the Moscow Institute of Physics and Technology, and is the result of the author's highly acclaimed work in Moscow's Laboratory of Geophysical Hydrodynamics. Each chapter is full of examples and figures, exercises and hints, motivating and illustrating both theoretical and experimental results. The exposition is comprehensive yet user-friendly in engaging and exploring the broad range of topics for students and researchers in mathematics, physics, meteorology and engineering.