Abstract
Helical properties of two homogeneous turbulent flows are compared by using velocity fields obtained by means of direct numerical simulation (DNS). Probability distribution functions (PDFs) of relative helicity show a preference for two-dimensionalization in the case of growing shear-driven turbulence, while an approximately equidistribution is obtained for the case of rotating turbulence. PDFs of super-helicity show a higher probability for alignment or anti-alignment of vorticity with dissipation of velocity in both cases. Isovorticity surfaces colored with relative helicity and relative super-helicity show that the signs of the two quantities tend to be strongly correlated again in both cases. This sign correlation is further quantified by their joint PDF and it suggests that super-helicity dissipates helicity.
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