Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1997-07-21
PRE, Vol. 57, Numb. 3, Pag. 2515, March 1998
Nonlinear Sciences
Chaotic Dynamics
4 pages, LaTex, 2 figures
Scientific paper
10.1103/PhysRevE.57.R2515
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 eqs., is derived and tested. The odd part of helicity flux statistic is found to be dominated by a few very intense events. In a particular model, we calculate analytically leading and sub-leading contribution to the scaling of triple velocity correlation.
Biferale Luca
Pierotti Daniela
Toschi Federico
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