Abstract
Using the quasi-hydrostatic relation, atmospheric motion can be described in a coordinate system where the pressure p is chosen to be an independent vertical coordinate, while the height z=z(x,y,p,t) of an isobaric surface p=const becomes a dependent variable. Without going into technicalities of calculations (see Thompson, 1962), let us write the equations of a rotating compressible baroclinic fluid in these new independent variables x, y, p, t.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M.V. Kurgansky, Introduction to the Large-Scale Dynamics of Atmosphere, Hydrometeoizdat, St.-Petersburg, 1993 (in English: Adiabatic Invariants in Large-Scale Atmospheric Dynamics, Taylor and Francis Ltd, 2002).
A.S. Monin and A.M. Yaglom, Statistical Hydromechanics, vol. 1, Gidrometeoizdat, St.-Petersburg, 1992 (in English: Statistical Fluid Mechanics: Mechanics of Turbulence, Dover, New York, 2007).
J. Pedlosky, Geophysical Fluid Dynamics, Springer, Berlin, 1987.
Ph.D. Thompson, Numerical Weather Analysis and Prediction, MacMillan, London, 1961.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Dolzhansky, F.V. (2013). Important Remarks on the Description of Baroclinic Geophysical Flows. In: Fundamentals of Geophysical Hydrodynamics. Encyclopaedia of Mathematical Sciences, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31034-8_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-31034-8_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31033-1
Online ISBN: 978-3-642-31034-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)