Advertisement

Important Remarks on the Description of Baroclinic Geophysical Flows

  • Felix V. Dolzhansky
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 103)

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.

Keywords

Potential Vorticity Geostrophic Wind Integral Invariant Horizontal Boundary Annular Channel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 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). Google Scholar
  2. 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). Google Scholar
  3. J. Pedlosky, Geophysical Fluid Dynamics, Springer, Berlin, 1987. zbMATHCrossRefGoogle Scholar
  4. Ph.D. Thompson, Numerical Weather Analysis and Prediction, MacMillan, London, 1961. Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Felix V. Dolzhansky
    • 1
  1. 1.

Personalised recommendations