{"paper":{"title":"Vorticity moments in four numerical simulations of the 3D Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"A. Gupta, D. Donzis, D. Vincenzi, J. D. Gibbon, R. M. Kerr, R. Pandit","submitted_at":"2013-02-07T14:54:05Z","abstract_excerpt":"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 $D_{m}(t) = \\left(\\varpi_{0}^{-1}\\Omega_{m}\\right)^{\\alpha_{m}}$ for $1 \\leq m \\leq \\infty$ where $\\alpha_{m}= \\frac{2m}{4m-3}$ and $\\left[\\Omega_{m}(t)\\right]^{2m} = L^{-3}\\I |\\bom|^{2m}dV$ with $\\varpi_{0} = \\nu L^{-2}$. All four simulations unexpectedly show that the $D_{m}$ are ordered for $m = 1\\,,...,\\,9$ such that $D_{m+1} < D_{m}$. Moreover, the $D_{m}$ squeeze togethe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1768","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}