Issue |
ESAIM: Proc.
Volume 1, 1996
Vortex flows an related numerical methods II
|
|
---|---|---|
Page(s) | 255 - 265 | |
DOI | https://doi.org/10.1051/proc:1996022 | |
Published online | 15 August 2002 |
Vortex problems, rotating spiral structures, and the Hannay-Berry phase
Department of Aerospace Engineering University of Southern California Los Angeles, CA 90089-1191, USA
This paper describes the occurence of phase anholonomies in the context of point vortex problems for two-dimensional incompressible flows. After giving a brief description of anholonomic effects in other contexts, we focus attention on the restricted three-vortex problem and a simpler modified problem where the "Hannay-Berry" phase can be computed using multi-scale asymptotic methods. Our main emphasis in this paper is to show how the Hannay-Berry phase arises as the leading term in an asymptotic expansion as the result of a non-uniform limit process. We show how it arises when computing the long time growth rate of passive scalar interfaces as they wrap around vortex cores in the presence of a slowly varying background field due to other vortices, and discuss the results in the context of "spiral-vortex" models for 2D turbulence.
© EDP Sciences, ESAIM, 1996
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.