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Some recent advances in the theory of homogeneous isotropic turbulence

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Abstract

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.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Science, 560 012, Bangalore, India

    Sujan K Dhar, Anirban Sain, Ashwin Pande & Rahul Pandit

  2. Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, India

    Rahul Pandit

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  1. Sujan K Dhar
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Dhar, S.K., Sain, A., Pande, A. et al. Some recent advances in the theory of homogeneous isotropic turbulence. Pramana - J Phys 48, 325–364 (1997). https://doi.org/10.1007/BF02845638

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