Homogeneous and Isotropic Turbulence: a short survey on recent developments

TL;DR

This paper reviews recent advances in understanding homogeneous and isotropic turbulence, focusing on universality, numerical and experimental comparisons, and the role of coherent structures versus statistical models.

Contribution

It provides a comprehensive overview of recent phenomenological and numerical results, highlighting the current debates and challenges in turbulence research.

Findings

Universality appears robust across different forcing and dissipation mechanisms.

Numerical and experimental results show good agreement in certain regimes.

Finite Reynolds number effects significantly influence turbulence statistics.

Abstract

We present a detailed review of some of the most recent developments on Eulerian and Lagrangian turbulence in homogeneous and isotropic statistics. In particular, we review phenomenological and numerical results concerning the issue of universality with respect to the large scale forcing and the viscous dissipative physics. We discuss the state-of-the-art of numerical versus experimental comparisons and we discuss the dicotomy between phenomenology based on coherent structures or on statistical approaches. A detailed discussion of finite Reynolds effects is also presented.