Müller, A. and Névir, P. and Klein, R. (2018) Scale Dependent Analytical Investigation of the Dynamic State Index Concerning the QuasiGeostrophic Theory. Mathematics of Climate and Weather Forecasting, 4 (1). pp. 122. ISSN 23536438 (online)

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Official URL: https://dx.doi.org/10.1515/mcwf20180001
Abstract
The Dynamic State Index (DSI) is a scalar diagnostic field that quantifies local deviations from a steady and adiabatic wind solution and thus indicates nonstationarity aswell as diabaticity. The DSIconcept has originally been developed through the EnergyVorticity Theory based on the full compressible flow equations without regard to the characteristic scaledependence of many atmospheric processes. But such scaledependent information is often of importance, and particularly so in the context of precipitation modeling: Small scale convective events are often organized in storms, clusters up to “Großwetterlagen” on the synoptic scale. Therefore, a DSI index for the quasigeostrophic model is developed using (i) the EnergyVorticity Theory and (ii) showing that it is asymptotically consistent with the original index for the primitive equations. In the last part, using meteorological reanalysis data it is demonstrated on a case study that both indices capture systematically different scaledependent precipitation information. A spinoff of the asymptotic analysis is a novel nonequilibrium time scale combining potential vorticity and the DSI indices.
Item Type:  Article 

Additional Information:  SFB 1114 Preprint: 08/2017 (authors pdf) 
Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group 
ID Code:  2101 
Deposited By:  Silvia Hoemke 
Deposited On:  30 Aug 2017 09:29 
Last Modified:  14 Jan 2019 12:03 
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