Phys. Rev. E 57, R2515 - R2518 (1998)Helicity transfer in turbulent models |
L. Biferale1, D. Pierotti2, and F. Toschi3
1Dipartimento di Fisica, Università di Tor Vergata, via della Ricerca Scientifica 1, I-00133 Roma, ItalyIstituto Nazionale di Fisica della Materia, Unità di Tor Vergata, I-00133 Roma, Italy
2Dipartimento di Fisica, Università dell’ Aquila, via Vetoio 1, I-67010 Coppito, L’Aquila, ItalyIstituto Nazionale di Fisica della Materia, Unità dell’Aquila, L’Aquila, I-00133 Roma, Italy
3Dipartimento di Fisica, Università di Pisa, Piazza Torricelli 2, I-56126, Pisa, Italy;Istituto Nazionale di Fisica della Materia, Unità di Tor Vergata, I-00133 Roma, Italy;Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, I-56126, Pisa, Italy
Received 2 September 1997
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.
©1998 The American Physical Society
URL: http://link.aps.org/abstract/PRE/v57/pR2515
DOI: 10.1103/PhysRevE.57.R2515
PACS: 47.27.Gs, 47.27.Jv
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