Spectra in helical three-dimensional homogeneous isotropic turbulence

Abstract

Three-dimensional homogeneous isotropic turbulence with helicity is studied numerically at high Reynolds number. Helicity is generated by a large-scale white-in-time helical force. High Reynolds number is achieved by using hyperviscous dissipation. It is shown that a cascade of helicity from large to small scales develops. The scalings of the energy and helicity spectra are consistent with Kolmogorov inertial range scaling predictions. No inverse cascade of helicity is observed.