Important Remarks on the Description of Baroclinic Geophysical Flows
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.
KeywordsPotential Vorticity Geostrophic Wind Integral Invariant Horizontal Boundary Annular Channel
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