Abstract
The deviations δζm (‘‘intermittency corrections’’) from classical (‘‘K41’’) scaling ζm=m/3 of the mth moments 〈‖u(p)‖m〉 in high Reynolds number turbulence are calculated, extending a method to approximately solve the Navier–Stokes equation described earlier. It is suggested to introduce the notion of scale resolved intermittency corrections δζm(p), because these δζm(p) are found to be large in the viscous subrange, moderate in the nonuniversal stirring subrange but, surprisingly, extremely small if not zero in the inertial subrange. If ISR intermittency corrections persisted in experiment up to the large Reynolds number limit, it would show by calculation that this could be due to the opening of phase space for larger wave vectors. In the higher order velocity moments 〈‖u(p)‖m〉 the crossover between inertial and viscous subrange is (10ηm/2)−1, thus the inertial subrange is smaller for higher order moments.
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