Vortex Flows and Related Numerical Methods II
ESAIM: Proceedings,
Vol. 1, 1996, pp. 1-14
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.
Vortex Flows and Related
Numerical Methods II
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