Eur. Phys. J. B 64, 463-469 (2008)
https://doi.org/10.1140/epjb/e2008-00048-6

Dynamic multiscaling in turbulence

¹ Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore 560012, India
² Astronomy Unit, School of Mathematical Sciences, Queen Mary College, London, UK

Corresponding author: ^a rahul@physics.iisc.ernet.in

Received: 31 August 2007
Published online: 6 February 2008

Abstract

We give an overview of the progress that has been made in recent years in understanding dynamic multiscaling in homogeneous, isotropic turbulence and related problems. We emphasise the similarity of this problem with the dynamic scaling of time-dependent correlation functions in the vicinity of a critical point in, e.g., a spin system. The universality of dynamic-multiscaling exponents in fluid turbulence is explored by detailed simulations of the GOY shell model for fluid turbulence.