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.
@article{EP_1996_1_a0,
author = {Alexandre J. Chorin},
title = {Microstructure, renormalization, and more efficient vortex methods},
journal = {ESAIM. Proceedings},
pages = {1--14},
year = {1996},
volume = {1},
doi = {10.1051/proc:1996004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1996004/}
}
Alexandre J. Chorin. Microstructure, renormalization, and more efficient vortex methods. ESAIM. Proceedings, Tome 1 (1996), pp. 1-14. doi: 10.1051/proc:1996004
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