Abstract

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.

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