@article{ISI:000324779300018,
 abstract = {The issue of intermittency in numerical solutions of the 3D
Navier-Stokes equations on a periodic box [0, L](3) is addressed
through four sets of numerical simulations that calculate a new set of
variables defined by D-m(t) = (pi(-1)(0) Omega(m))(alpha m) for 1 <= m
<= infinity where alpha(m) = 2m/(4m - 3) and [Omega(m)(t)](2m) = L-3
integral(v) vertical bar omega vertical bar(2m) dV with pi(0) = vL(-2).
All four simulations unexpectedly show that the D-m are ordered for m =
1,..., 9 such that Dm+1 < D-m. Moreover, the D-m squeeze together such
that Dm+1/D-m NE arrow 1 as m increases. The values of D-1 lie far above
the values of the rest of the D-m, giving rise to a suggestion that a
depletion of nonlinearity is occurring which could be the cause of
Navier-Stokes regularity. The first simulation is of very anisotropic
decaying turbulence; the second and third are of decaying isotropic
turbulence from random initial conditions and forced isotropic
turbulence at fixed Grashof number respectively; the fourth is of
very-high-Reynolds-number forced, stationary, isotropic turbulence at up
to resolutions of 4096(3).},
 author = {Donzis, Diego A. and Gibbon, John D. and Gupta, Anupam and Kerr, Robert
M. and Pandit, Rahul and Vincenzi, Dario},
 doi = {10.1017/jfm.2013.409},
 eissn = {1469-7645},
 issn = {0022-1120},
 journal = {JOURNAL OF FLUID MECHANICS},
 month = {OCT},
 orcid-numbers = {Gupta, Anupam/0000-0002-7335-0584},
 pages = {316-331},
 researcherid-numbers = {Gupta, Anupam/N-4777-2018},
 times-cited = {16},
 title = {Vorticity moments in four numerical simulations of the 3D Navier-Stokes
equations},
 unique-id = {ISI:000324779300018},
 volume = {732},
 year = {2013}
}