Lagrangian and Eulerian statistics in homogeneous, anisotropic flows

ORAL

Abstract

We report results from highly resolved direct numerical simulations of anisotropic homogeneous flows using up to $2048^3$ collocations points. We examine a turbulent Kolmogorov flow with randomly correlated phases in order to recover space homogeneity on average. We present Eulerian and Lagrangian measurements concerning the universality of isotropic and anisotropic contributions using a systematic decomposition based on the eigenfunctions of the SO$(3)$ group of rotations in three dimensions. Additionally, we discuss absolute dispersion statistics of particles in flows subjected to different large-scale anisotropies.

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Authors

  • K.P. Iyer

    Department of Physics and INFN, University of Rome, Tor Vergata, Univ of Rome Tor Vergata and INFN, Italy

  • Fabio Bonaccorso

    Department of Physics and INFN, University of Rome, Tor Vergata, Department of Physics \& INFN, University of Rome Tor Vergata, Rome, Italy.

  • Federico Toschi

    Department of Applied Physics, University of Eindhoven, Eindhoven Univ of Tech, Eindhoven University of Technology, Technische Universiteit Eindhoven, TU Eindhoven

  • Luca Biferale

    Department of Physics and INFN, University of Rome, Tor Vergata, University of Rome Tor Vergata, Deparment of Physics, University of Rome Tor Vergata and INFN, Department of Physics \& INFN, University of Rome Tor Vergata, Rome, Italy.