Energy Cascade and Intermittency in Helically Decomposed Navier-Stokes Equations
arXiv:1709.03713 · doi:10.1088/1873-7005/aa839a
Abstract
We study the nature of the triadic interactions in Fourier space for three-dimensional Navier-Stokes equations based on the helicity content of the participating modes. Using the tool of helical Fourier decomposition we are able to access the effects of a group of triads on the energy cascade process and on the small-scale intermittency. We show that while triadic interactions involving modes with only one sign of helicity results to an inverse cascade of energy and to a complete depletion of the intermittency, absence of such triadic interactions has no visible effect on the energy cascade and on the inertial-range intermittency of the three-dimensional Navier-Stokes equations.
15 pages, 9 figures
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Cited by in corpus (10)
- Energy transfer in turbulence under rotation
- Variable energy flux in turbulence
- On the thermal equilibrium state of large scale flows
- Phase transitions and flux-loop metastable states in rotating turbulence
- On the inverse energy transfer in rotating turbulence
- Enstrophy transfers in helical turbulence
- Dynamic Phase Alignment in Navier-Stokes Turbulence
- Shell Models on Recurrent Sequences: Fibonacci, Padovan and Other Series
- Dynamic Triad Interactions and Evolving Turbulence -- Part 1: 4D Modal Interactions
- Alignments of Triad Phases in 1D Burgers and 3D Navier-Stokes Flows