Scaling laws in the vortex lattice model of turbulence
The lattice vortex model of the inertial range in turbulence theory is reviewed; the model consists of an array of vortex tubes whose axes coincide with the bonds on a regular lattice, subject to random stretching and successive scaling, and constrained by conservation laws for energy, specific volume, circulation, helicity, and an energy/vorticity relation. The scaling laws for vorticity are examined in detail, a Hausdorff dimension for the ``active'' portion of the vortex array is calculated, the origin of intermittency is exhibited, and it is pointed out that the Kolmogorov -5/3 power law already accounts for intermittency effects.
lattice vortex model of the inertial range
scientific article; zbMATH DE number 4041489