Intermittency in Turbulence: computing the scaling exponents in shell models

Details Intermittency in Turbulence: computing the scaling exponents in shell models Intermittency in Turbulence: computing the scaling exponents in shell models

2003-07-03

arxiv.org/abs/nlin/0307008v1

Physical Review E 68 4 (2003) 046304

Nonlinear Sciences

Chaotic Dynamics

12 pages, 5 eps figures

Scientific paper

10.1103/PhysRevE.68.046304

We discuss a stochastic closure for the equation of motion satisfied by multi-scale correlation functions in the framework of shell models of turbulence. We give a systematic procedure 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 at varying the free parameter entering in the non-linear 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.

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