Disentangling the triadic interactions in Navier-Stokes equations

  • Ganapati SahooEmail author
  • Luca Biferale
Regular Article
Part of the following topical collections:
  1. Multi-scale phenomena in complex flows and flowing matter


We study the role of helicity in the dynamics of energy transfer in a modified version of the Navier-Stokes equations with explicit breaking of the mirror symmetry. We select different set of triads participating in the dynamics on the basis of their helicity content. In particular, we remove the negative helically polarized Fourier modes at all wave numbers except for those falling on a localized shell of wave number, \(|k| \sim k_{m}\). Changing km to be above or below the forcing scale, kf, we are able to assess the energy transfer of triads belonging to different interaction classes. We observe that when the negative helical modes are present only at a wave number smaller than the forced wave numbers, an inverse energy cascade develops with an accumulation of energy on a stationary helical condensate. Vice versa, when negative helical modes are present only at a wave number larger than the forced wave numbers, a transition from backward to forward energy transfer is observed in the regime when the minority modes become energetic enough.

Graphical abstract


Topical Issue: Multi-scale phenomena in complex flows and flowing matter 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Physics and INFNUniversity of Rome “Tor Vergata”RomeItaly

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