Helicity transfer in a shell model of turbulence is investigated. We show that a Reynolds-independent helicity flux is present in the model when the large scale forcing breaks inversion symmetry. The equivalent in shell models of the "2/15 law," obtained from helicity conservation in Navier-Stokes equations, is derived and tested. The odd part of the helicity flux statistics is found to be dominated by a few very intense events. In a particular model, we calculate analytically leading and subleading contributions to the scaling of triple velocity correlation.
|Journal||Physical Review E: Statistical, Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - 1998|
Biferale, L., Pierotti, D., & Toschi, F. (1998). Helicity transfer in turbulent models. Physical Review E: Statistical, Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 57(3), R2515-R2518. https://doi.org/10.1103/PhysRevE.57.R2515