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Spatio-temporal log-stable process for the turbulent energy-cascade

J. Schmiegel·M. Greiner
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Abstract

We present a dynamical log-stable process for the spatio-temporal evolution of the energy-dissipation field in fully developed turbulence. The process is constructed from multifractal scaling relations required for two-point correlators of arbitrary order. n-point correlation functions are calculated analytically and interpreted in terms of generalised fusion rules and in terms of the random multiplicative cascade picture. Multiplier distributions are compared with experimental results.

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J. Schmiegel, M. Greiner. 2001-11-20. Spatio-temporal log-stable process for the turbulent energy-cascade. https://arxiv.org/abs/cond-mat/0111364

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