Frontogenesis

1991
Montgomery, M. B., & Farrell, B. F. (1991). Moist surface frontogenesis associated with interior potential vorticity anomalies in a semi- geostrophic model. In (48th ed. pp. 343-367) . J. Atmos. Sci.Abstract

We previously examined surface frontogenisis as an initial value problem in a dry inviseid semigeostrophic Eady model focusing on the frontal dynamics associated with interior potential vorticity anomalies. This work explores frontogenesis associated with potential vorticity anamalies in the presence of latent heating term gives correct asymptotic behavior at high and low temperatures. A variety of initial conditions are considered  in which upper-level potential vorticity disturbances induce strong positive potential vorticity anomalies near the lower surface. With uniform interior potential vorticity, baroclinic coupling between the upper and surface disturbances with interior potential vorticity show greatly enhanced baroclinic coupling between upper and lower disturbances. Comparison with a recent observational study suggests these represent a simple phenomenological description of squall line development.

We also find that latent heat release destabilized surface concentrated disturbances which do not intensify in the dry problem. These frontal developments are not primarily baroclinic. Rather, the source of energy is latent heat released in ascent regions and the attendant generation of surface potential vorticity. Development is slow in comparison to baroclinic frontogenesis but is not dependent on the presence of large amplitude perturbations. This diabatic surface development also appears in examples involving upper-level potential vorticity disturbances as a slow intensification of meridional surface winds following the more rapid baroclinic interaction between upper- and lower-level distrubances. Examples suggestive of observed polar low development comprise an initial baroclinic growth phase followed by a slow intensification due to diabetic effects.

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1990
Montgomery, M. B., & Farrell, B. F. (1990). Dry surface frontogenesis associated with interior potential vorticity anomalies in a semi-geostrophic model. In (47th ed. pp. 2837-2852) . J. Atmos. Sci.Abstract

We examine the role of interior potential vorticity perturbations in surface frontogenisis using the two dimensional semigeostrophic Eady model. Front form rapidly for properly configured small disturbances even at zonal wavenumbers for which no exponentially unstable modes exsist. While last of exponential growth does not preclude frontal development, the strength of the disturbance must exceed an amplitude threshold for frontal formation. In practice, the finite amplitude constraint is not severe requiring meridional winds of a few meters per second. Model integration illustrate the variety of frontogenesis phenomena that arise from interior potential vorcitity perturbations including formation of near surface vertical velocity maxima.

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