Some recent advances in the theory of homogeneous isotropic turbulence

Dhar, Sujan K. ; Sain, Anirban ; Pande, Ashwin ; Pandit, Rahul (1997) Some recent advances in the theory of homogeneous isotropic turbulence Pramana - Journal of Physics, 48 (1). pp. 325-364. ISSN 0304-4289

PDF - Publisher Version

Official URL:

Related URL:


We review some advances in the theory of homogeneous, isotropic turbulence. Our emphasis is on the new insights that have been gained from recent numerical studies of the three-dimensional Navier Stokes equation and simpler shell models for turbulence. In particular, we examine the status of multiscaling corrections to Kolmogorov scaling, extended self similarity, generalized extended self similarity, and non-Gaussian probability distributions for velocity differences and related quantities. We recount our recent proposal of a wave-vector-space version of generalized extended self similarity and show how it allows us to explore an intriguing and apparently universal crossover from inertial- to dissipation-range asymptotics.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Isotropic Turbulence; Homogeneous Turbulence; Turbulence Simulation and Modelling; Theory and Models of Chaotic Systems; Critical Point Phenomena
ID Code:33767
Deposited On:25 Apr 2011 12:59
Last Modified:17 May 2016 16:40

Repository Staff Only: item control page