An experimentalist's view of discrete and continuous cascade models in fully developed turbulence

In standard experiments, time series of fully developed turbulent fields are recorded in one point, which according to the frozen flow hypothesis can be interpreted as an instantaneous one-dimensional spatial section through a three- dimensional field. This observational reduction in dimensions is absolutely necessary to be taken into account for the explanation of observed multiplier correlations in the energy dissipation field. We demonstrate this for discrete and continuous multiplicative cascade processes, which are empirically known to describe the multifractal energy flux from integral to dissipation scales