Split energy-helicity cascades in three-dimensional homogeneous and isotropic turbulence (Articolo in rivista)

Type
Label
  • Split energy-helicity cascades in three-dimensional homogeneous and isotropic turbulence (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1017/jfm.2013.349 (literal)
Alternative label
  • Biferale, L. and Musacchio, S. and Toschi, F. (2013)
    Split energy-helicity cascades in three-dimensional homogeneous and isotropic turbulence
    in Journal of fluid mechanics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Biferale, L. and Musacchio, S. and Toschi, F. (literal)
Pagina inizio
  • 309 (literal)
Pagina fine
  • 327 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 730 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Biferale, L (Reprint Author), Univ Roma Tor Vergata, Dept Phys, Via Ric Sci 1, I-00133 Rome, Italy. Biferale, L., Univ Roma Tor Vergata, Dept Phys, I-00133 Rome, Italy. Biferale, L., Univ Roma Tor Vergata, Ist Nazl Fis Nucl, I-00133 Rome, Italy. Musacchio, S., CNRS, Lab JA Dieudonne UMR 6621, F-06108 Nice, France. Toschi, F., Eindhoven Univ Technol, Dept Phys, NL-5600 MB Eindhoven, Netherlands. Toschi, F., Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands. Toschi, F., CNR IAC, I-00185 Rome, Italy. (literal)
Titolo
  • Split energy-helicity cascades in three-dimensional homogeneous and isotropic turbulence (literal)
Abstract
  • We investigate the transfer properties of energy and helicity fluctuations in fully developed homogeneous and isotropic turbulence by changing the nature of the nonlinear Navier-Stokes terms. We perform a surgery of all possible interactions, by keeping only those triads that have sign-definite helicity content. In order to do this, we apply an exact decomposition of the velocity field in a helical Fourier basis, as first proposed by Constantin & Majda (Commun. Math. Phys, vol. 115, 1988, p. 435) and exploited in great detail by Waleffe (Phys. Fluids A, vol. 4, 1992, p. 350), and we evolve the Navier-Stokes dynamics keeping only those velocity components carrying a well-defined (positive or negative) helicity. The resulting dynamics preserves translational and rotational symmetries but not mirror invariance. We give clear evidence that this three-dimensional homogeneous and isotropic chiral turbulence is characterized by a stationary inverse energy cascade with a spectrum E-back(k) similar to k(-5/3) and by a direct helicity cascade with a spectrum E-forw(k) similar to k(-7/3). Our results are important to highlight the dynamics and statistics of those subsets of all possible Navier-Stokes interactions responsible for reversal events in the energy-flux properties, and demonstrate that the presence of an inverse energy cascade is not necessarily connected to a two-dimensionalization of the flow. We further comment on the possible relevance of such findings to flows of geophysical interest under rotations and in thin layers. Finally we propose other innovative numerical experiments that can be achieved by using a similar decimation of degrees of freedom. (literal)
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