TRANSLATIONAL INVARIANCE IN TURBULENT CASCADE MODELS

Due to the underlying hierarchical structure, spatial correlation functions calculated from multiplicative cascade models are not translationally invariant. A scheme is presented that restores translational invariance by averaging over the experimentally unknown spatial location of cascade realizations with respect to the observation window. The impact of this scheme on multiplier distributions for the energy dissipation field in fully developed turbulence is analyzed; only the experimental multiplier distribution is found to be invariant under a wide range of scales.