Geostrophic adjustment in a stratified atmosphere
The geostrophic adjustment process in a compressible atmosphere with arbitrary vertical stratification is studied as an initial value problem. The governing equations are the adiabatic quasi-static equations on an f-plane linearized about a motionless basic state. A rigid lid upper boundary condition is assumed which permits the use of a discrete eigenfunction expansion in the vertical. Using Fourier transforms in the horizontal a general solution is obtained for both the transient and final states. The general solution is evaluated for several simple experiments with axisymmetric initial ...
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