Inverse cascade of energy in helical turbulence

Abstract

Using direct numerical simulation of hydrodynamic turbulence with helicity forcing applied at all scales, a near-maximum helical turbulent state is obtained, with an inverse energy cascade at scales larger than the energy forcing scale and a forward helicity cascade at scales smaller than the energy forcing scale. In contrast to previous studies using decimated triads, our simulations contain all possible triads. By computing the shell-to-shell energy fluxes, we show that the inverse energy cascade results from weakly non-local interactions among homochiral triads. Varying the helicity injection range of scales leads to necessary conditions to obtain an inverse energy cascade.

13 pages, 10 figures

References in corpus (5)

• Large scale flow effects, energy transfer, and self-similarity on turbulence
• Helicity cascades in rotating turbulence
• Inverse cascade of energy in helical turbulence
• Enstrophy transfers in helical turbulence
• On uniqueness of transfer rates in magnetohydrodynamic turbulence

Cited by in corpus (6)

• Variable energy flux in turbulence
• Inverse cascade of energy in helical turbulence
• Inverse cascades of kinetic energy and thermal variance in three-dimensional horizontally extended turbulent convection
• Odd viscosity suppresses intermittency in direct turbulent cascades
• Dynamic Phase Alignment in Navier-Stokes Turbulence
• A self-induced mechanism of large-scale helical structures in compressible turbulent flows