Intermittency in Turbulence: computing the scaling exponents in shell models
arXiv:nlin/0307008 · doi:10.1103/PhysRevE.68.046304
Abstract
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.
12 pages, 5 eps figures
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Cited by in corpus (8)
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- Hidden scale invariance of turbulence in a shell model: from forcing to dissipation scales
- Computation of anomalous scaling exponents of turbulence from self-similar instanton dynamics
- Odd viscosity suppresses intermittency in direct turbulent cascades
- Dynamical scaling and intermittency in shell models of turbulence
- A lattice Boltzmann study of non-hydrodynamic effects in shell models of turbulence
- Perturbative anomalous exponents from Kolmogorov multipliers