Repository: Freie Universität Berlin, Math Department

QG-DL: Dynamics of a diabatic layer in the quasi-geostrophic framework

Klein, R. and Schielicke, L. and Pfahl, S. and Khouider, B. (2021) QG-DL: Dynamics of a diabatic layer in the quasi-geostrophic framework. Journal of the Atmospheric Sciences . pp. 1-12. ISSN Online: 1520-0469 Print: 0022-4928 (Submitted)

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Quasi-geostrophic (QG) theory describes the dynamics of synoptic scale flows in the trophosphere that are balanced with respect to both acoustic and internal gravity waves. Within this framework, effects of (turbulent) friction near the ground are usually represented by Ekman Layer theory. The troposphere covers roughly the lowest ten kilometers of the atmosphere while Ekman layer heights are typically just a few hundred meters. However, this two-layer asymptotic theory does not explicitly account for substantial changes of the potential temperature stratification due to diabatic heating associated with cloud formation or with radiative and turbulent heat fluxes, which, in the middle latitudes, can be particularly important in about the lowest three kilometers. To address this deficiency, this paper extends the classical QG–Ekman layer model by introducing an intermediate, dynamically and thermodynamically active layer, called the “diabatic layer” (DL) from here on. The flow in this layer is also in acoustic, hydrostatic, and geostrophic balance but, in contrast to QG flow, variations of potential temperature are not restricted to small deviations from a stable and time independent background stratification. Instead, within the diabatic layer, diabatic processes are allowed to affect the leading-order stratification. As a consequence, the diabatic layer modifies the pressure field at the top of the Ekman layer, and with it the intensity of Ekman pumping seen by the quasi-geostrophic bulk flow. The result is the proposed extended quasi-geostrophic three-layer QG-DL-Ekman model for mid-latitude (dry and moist) dynamics.

Item Type:Article
Additional Information:accepted
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:2553
Deposited By: Monika Drueck
Deposited On:27 Apr 2021 09:13
Last Modified:02 Mar 2023 15:10

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