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Issue ESAIM: Proc.
Volume 1, 1996
Vortex flows an related numerical methods II
Page(s) 1 - 14
DOI http://dx.doi.org/10.1051/proc:1996004

ESAIM: Proc., 1996, Vol. 1, pp. 1-14
DOI: 10.1051/proc:1996004

Microstructure, renormalization, and more efficient vortex methods

Alexandre J. Chorin

Department of Mathematics University of California Berkeley, California 94720-3840, USA


Abstract
The small-scale structure of the flow produced by vortex methods is discussed, and contrasted with the small-scale structure produced by grid methods. Particular attention is paid to the proliferation of vortex hairpins in three dimensions; its origin is analyzed, a statistical description is given, and methods for harmlessly deleting unneeded hairpins are suggested. These methods involve renormalization-group ideas and an expansion in powers of a vortex fugacity. In both theory and applications, magnet variables play a major role.



© EDP Sciences, ESAIM 1996


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