Extended self-similarity and dissipation range dynamics of three-dimensional turbulence

Abstract

We carry out a self-consistent calculation of the structure functions in the dissipation range using the Navier-Stokes equation. Combining these results with the known structures in the inertial range, we actually propose crossover functions for the structure functions that take one smoothly from the inertial to the dissipation regime. These crossover functions are shown to exhibit extended self-similarity properties consistent with experimental findings.