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Cascades of enstrophy and helicity in turbulence without vortex stretching

Tong Wu and Wouter J. T. Bos*

  • Univ. Lyon, CNRS, Ecole Centrale de Lyon, INSA Lyon, Univ. Claude Bernard Lyon 1, LMFA, UMR5509, 69340 Ecully, France

  • *Corresponding author: wouter.bos@ec-lyon.fr
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Phys. Rev. Fluids 7, 094601 – Published 2 September, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.094601

Abstract

We consider three-dimensional turbulence from which vortex stretching is removed. Using direct numerical simulations, we show that in this system a dual cascade is observed, consisting of a forward enstrophy cascade and an inverse helicity cascade. In the inverse cascade range the energy spectrum scaling is proportional to k−7/3, with k being the wave number. In the forward cascade range the spectrum is proportional to k−3 with a logarithmic correction.

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Outline

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Phys. Rev. Fluids 7, 094601– Published 2 September, 2022
  • Received 16 November 2021
  • Accepted 12 August 2022
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