Intermittency in turbulence: Computing the scaling exponents in shell models

2003/07/03 by Roberto Benzi, Luca Biferale, Mauro Sbragaglia +1 · 1 citation
Economics, Econometrics and Finance · Engineering · Environmental Science · Physics and Astronomy · #Climate variability and models #Complex Systems and Time Series Analysis #Fluid Dynamics and Turbulent Flows #nlin.CD

paper · pdf · doi:10.1103/physreve.68.046304

published as Physical Review E 68 4 (2003) 046304 · 12 pages, 5 eps figures

arxiv created 2003/07/03 · openalex publication_date 2003/10/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a stochastic closure for the equation of motion satisfied by multiscale correlation functions in the framework of shell models of turbulence. We present a plausible closure scheme to calculate the anomalous scaling exponents of structure functions by using the exact constraints imposed by the equation of motion. We present an explicit calculation for fifth-order scaling exponent by varying the free parameter entering in the nonlinear term of the model. The same method applied to the case of shell models for Kraichnan passive scalar provides a connection between the concept of zero-modes and time-dependent cascade processes.

Citations

• Intermittency in Turbulence: Multiplicative Random Process in Space and Time

Cited by

• Stochastic Fractional Neural Operators: A Symmetrized Approach to Modeling Turbulence in Complex Fluid Dynamics

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