On the statistics of backscatter from sub-grid fluctuations at high Reynolds numbers

ORAL

Abstract

We study the effect of different filtering strategies on the statistical properties of the subgrid-scale energy transfer of high Reynolds numbers homogeneous and isotropic turbulence. We focus on the upscale energy transfer (backscatter) from small to large scales. We discuss the extent to which the backscatter statistics depend on the filtering strategy, using either exact projectors on different subsets of Fourier modes or more traditional convolutions with analytical kernels in physical space. We also assess the backscatter contribution from different helical components of the sub-grid fluctuations.

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Authors

  • Michele Buzzicotti

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

  • Hussein Aluie

    University of Rochester and Laboratory for Laser Energetics, University of Rochester, Department of Mechanical Engineering, University of Rochester, USA

  • 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.

  • Fabio Bonaccorso

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

  • Moritz Linkmann

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