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Stochastic Shell Model: a model of anomalous scaling and non-Gaussian distribution in turbulence

Hideki Takayasu·Y-h. Taguchi·Tomoo Katsuyama
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Abstract

We propose a simple stochastic model of cascading transport in wave number space to clarify the origin of intermittent behavior of fully-developed fluid turbulence. In spite of lack of nonlinearity and viscosity the model gives non-Gaussian fluctuations and multifractal scalings consistent with experimental data.

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Hideki Takayasu, Y-h. Taguchi, Tomoo Katsuyama. 1995-09-01. Stochastic Shell Model: a model of anomalous scaling and non-Gaussian distribution in turbulence. https://arxiv.org/abs/chao-dyn/9503004

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