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Enstrophy transfers in helical turbulence

Shubhadeep Sadhukhan1,*, Roshan Samuel2,†, Franck Plunian3,‡, Rodion Stepanov4,§, Ravi Samtaney5,∥, and Mahendra Kumar Verma1,¶

  • 1Department of Physics, Indian Institute of Technology, Kanpur, Uttar Pradesh 208016, India
  • 2Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208016, India
  • 3Université Grenoble Alpes, Université Savoie Mont Blanc, CNRS, IRD, IFSTTAR, ISTerre, 38000 Grenoble, France
  • 4Institute of Continuous Media Mechanics UB RAS, Perm, Russian Federation
  • 5Mechanical Engineering, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia

  • *deep@iitk.ac.in
  • †roshanj@iitk.ac.in
  • ‡franck.plunian@univ-grenoble-alpes.fr
  • §rodion@icmm.ru
  • ∥ravi.samtaney@kaust.edu.sa
  • mkv@iitk.ac.in
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Phys. Rev. Fluids 4, 084607 – Published 28 August, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.084607

Abstract

In this paper we study the enstrophy transfers in helical turbulence using direct numerical simulation. We observe that the helicity injection does not have significant effects on the inertial-range energy and helicity spectra (∼k−5/3) and fluxes (constants). We also calculate the separate contributions to enstrophy transfers via velocity-to-vorticity and vorticity-to-vorticity channels. There are four different enstrophy fluxes associated with the former channel or vorticity stretching, and one flux associated with the latter channel or vorticity advection. In the inertial range, the fluxes due to vorticity stretching are larger than that due to advection. These transfers too are insensitive to helicity injection.

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Phys. Rev. Fluids 4, 084607– Published 28 August, 2019
  • Received 10 April 2019
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