Microstructure, renormalization, and more efficient vortex methods
ESAIM. Proceedings, Tome 1 (1996), pp. 1-14.

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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.
DOI : 10.1051/proc:1996004

Alexandre J. Chorin 1

1 Department of Mathematics University of California Berkeley, California 94720-3840, USA
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Alexandre J. Chorin. Microstructure, renormalization, and more efficient vortex methods. ESAIM. Proceedings, Tome 1 (1996), pp. 1-14. doi : 10.1051/proc:1996004. http://geodesic.mathdoc.fr/articles/10.1051/proc:1996004/

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