HR: 09:40h
AN: A51F-11 [Abstracts]
TI: On the Lagrangian Dynamics of Atmospheric Zonal Jets and the Permeability of the Stratospheric Polar Vortex
AU: * Rypina, I I
EM: irypina@rsmas.miami.edu
AF: RSMAS/AMP, University of Miami, 4600 Rickenbacker cswy, Miami, FL 33149, United States
AU: Brown, M G
EM: mbrown@rsmas.miami.edu
AF: RSMAS/AMP, University of Miami, 4600 Rickenbacker cswy, Miami, FL 33149, United States
AU: Beron-Vera, F J
EM: fberon@rsmas.miami.edu
AF: RSMAS/AMP, University of Miami, 4600 Rickenbacker cswy, Miami, FL 33149, United States
AU: Kocak, H
EM: hk@math.miami.edu
AF: Department of Computer Science and Mathematics, University of Miami, Ungar Building
515,
1365 Memorial Drive, Coral Gables, FL 33146, United States
AU: Olascoaga, M J
EM: jolascoaga@rsmas.miami.edu
AF: RSMAS/AMP, University of Miami, 4600 Rickenbacker cswy, Miami, FL 33149, United States
AU: Udovydchenkov, I A
EM: iudovydchenkov@rsmas.miami.edu
AF: RSMAS/AMP, University of Miami, 4600 Rickenbacker cswy, Miami, FL 33149, United States
AB:
The Lagrangian dynamics of zonal jets in the atmosphere are considered, with particular attention paid
to explaining why, under commonly encountered conditions, zonal jets serve as barriers to meridional
transport. The velocity field is assumed to be two dimensional and incompressible, and composed of a
steady zonal flow with an isolated maximum (a zonal jet) on which two or more traveling Rossby waves are
superimposed. The associated Lagrangian motion is studied with the aid of the Kolmogorov–Arnold–Moser
(KAM) theory, including nontrivial extensions of well-known results. These extensions include applicability
of the theory when the usual statements of nondegeneracy are violated, and applicability of the theory to
multiply periodic systems, including the absence of Arnold diffusion in such systems. These results, together
with numerical simulations based on a model system, provide an explanation of the mechanism by which
zonal jets serve as barriers to the meridional transport of passive tracers under commonly encountered
conditions. Causes for the breakdown of such a barrier are discussed. It is argued that a barrier of this type
accounts for the sharp boundary of the Antarctic ozone hole at the perimeter of the stratospheric polar
vortex in the austral spring.
DE: 0341 Middle atmosphere: constituent transport and chemistry (3334)
SC: Atmospheric Sciences [A]
MN: 2007 Fall Meeting