Abstract
Abstract An efficient solution procedure is developed for a nonseparable semigeostrophic Eady problem on a semi-infinite f plane. A model is designed to study the effects of meridionally isolated jets and tropopause morphology on baroclinic instability. Potential vorticity (PV) is assumed to be piecewise constant and discontinuous at the tropopause, whose height is allowed to vary with latitude. The computational domain is discretized in a stretched coordinate to maintain adequate resolution in the vicinity of the tropopause and axis of the jet. The basic state is numerically inverted from the two PV values with the specification of only the meridional profiles of potential temperature (PT) at the surface and (unspecified) tropopause height. The nonseparable eigenvalue problem about this basic state is solved for the discrete (zero-PV) normal modes. Since continuum modes are not sought, the size of the problem is reduced greatly, keeping the storage and CPU requirements moderate even at relatively high sp...
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