1932

Abstract

We review the most important theoretical and numerical results obtained in the realm of shell models for the energy-turbulent cascade. We mainly focus here on those results that had or will have some impact on the fluid-dynamics community. In particular, we address the problem of small-scale intermittency by discussing energy–helicity interactions, energy-dissipation multifractality, and universality of intermittency, i.e., independence of anomalous scaling exponents from large-scale forcing and boundary conditions. A multifractal-based description of multiscale and multitime correlation functions in turbulence is also presented. Finally, we also briefly review the analytical difficulties, and hopes, of calculating anomalous exponents.

Loading

Article metrics loading...

/content/journals/10.1146/annurev.fluid.35.101101.161122
2003-01-01
2024-06-18
Loading full text...

Full text loading...

/content/journals/10.1146/annurev.fluid.35.101101.161122
Loading
/content/journals/10.1146/annurev.fluid.35.101101.161122
Loading

Data & Media loading...

  • Article Type: Review Article
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error