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Helicity statistics in homogeneous and isotropic turbulence and turbulence models

Ganapati Sahoo, Massimo De Pietro, and Luca Biferale

  • Department of Physics & INFN, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy

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Phys. Rev. Fluids 2, 024601 – Published 1 February, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.024601

Abstract

We study the statistical properties of helicity in direct numerical simulations of fully developed homogeneous and isotropic turbulence and in a class of turbulence shell models. We consider correlation functions based on combinations of vorticity and velocity increments that are not invariant under mirror symmetry. We also study the scaling properties of high-order structure functions based on the moments of the velocity increments projected on a subset of modes with either positive or negative helicity (chirality). We show that mirror symmetry is recovered at small scales, i.e., chiral terms are subleading and they are well captured by a dimensional argument plus anomalous corrections. These findings are also supported by a high Reynolds numbers study of helical shell models with the same chiral symmetry of Navier-Stokes equations.

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Phys. Rev. Fluids 2, 024601– Published 1 February, 2017
  • Received 10 May 2016

©2017 American Physical Society

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