Repository: Freie Universit├Ąt Berlin, Math Department

Motion and structure of atmospheric mesoscale baroclinic vortices: dry air and weak environmental shear

Paeschke, E. and Marschalik, P. and Owinoh, A.Z. and Klein, R. (2012) Motion and structure of atmospheric mesoscale baroclinic vortices: dry air and weak environmental shear. Journal of Fluid Mechanics, 701 . pp. 137-170.

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Abstract

By matched asymptotic expansions we analyze the simplified three-dimensional atmospheric flow regime of a nearly axisymmetric vortex in dry air that is in gradient wind balance and embedded in a quasi-geostrophic background wind with weak vertical shear. A description of the vortex' overall motion, its vertical tilt, and of the evolution of its leading-order axisymmetric core structure are developed. The analysis includes the influence of diabatic source terms in the vortex core as a first step towards an asymptotic theory for the structure and motion of hurricanes. The theory is closed except for the solution of a regularized quasi-geostrophic outer flow problem, the formulation of which is outlined here but whose detailed description and numerical integration are deferred to future work.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:936
Deposited By: Ulrike Eickers
Deposited On:30 Aug 2010 08:32
Last Modified:03 Mar 2017 14:40

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