Predictability of Small-Scale Motion in Isotropic Fluid Turbulence

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Abstract
Direct numerical simulation results are presented which indicate that the balance between coherence and randomness in small-scale motion is such that a conditional-averaging procedure may be an appropriate mathematical operation to treat the problem of fluid turbulence as it is used in the two-field theory of turbulence [W. D. McComb and A. G. Watt, Phys. Rev. Lett. 65, 3281 (1990)] and in large eddy simulation models. Important results on phase and scale coherence suggest an interpretation based on random sweeping and vortex straining/stretching.