In nature, the vast majority of fluid flows are turbulent. Therefore, understanding and predicting turbulence and its temporal evolution is of great importance. In the context of dynamical systems, intermittency refers to the irregular alternation between phases of periodic behavior and chaotic dynamics, or between different forms of chaotic behavior. Pomeau and Manneville identified three types of intermittency, where a nearly periodic system exhibits irregularly spaced bursts of chaos [1]. These types – Type I, II, and III – are associated with the approach to a saddle–node bifurcation, a subcritical Hopf bifurcation, and an inverse period–doubling bifurcation, respectively. In this presentation, we begin with a brief introduction to turbulence, followed by a discussion of intermittency in turbulent flows. We then introduce simple mathematical models that capture aspects of intermittent behavior in turbulence. Finally, we explore more advanced approaches for characterizing intermittency in turbulent flows.
- Ρόθος, Β.
- Χωρίκης, Θ.