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Turbulence and vortex stretching on a lattice
Author(s) -
Chorin Alexandre Joel
Publication year - 1986
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160390706
Subject(s) - vorticity , vortex , vortex stretching , turbulence , scaling , inertial frame of reference , mathematics , burgers vortex , euler equations , lattice (music) , statistical physics , classical mechanics , physics , mathematical analysis , mechanics , geometry , acoustics
A lattice model of the inertial range in turbulence theory is presented; it has features in common both with the qualitative theory and with a vortex method solution of Euler's equations. It conserves volume, circulation, energy, connectivity, and a vorticity/energy relation, and proceeds through random vortex stretching and a sequence of scaling transformations. It yields a vorticity dimension, an inertial range exponent and inertial range statistics.