Shell models of energy cascade in turbulence

• Luca Biferale ^[1]
  1. [1] Department of Physics and INFM, University of Rome, Rome, Italy
• Localización: Annual review of fluid mechanics, ISSN 0066-4189, Nº. 35, 2003, págs. 441-468
• Idioma: inglés
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• Resumen

  • 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.