{"paper":{"title":"Lagrangian Cascade in Three-Dimensional Homogeneous and Isotropic Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Francois G. Schmitt, Y.X. Huang","submitted_at":"2014-01-17T00:20:01Z","abstract_excerpt":"In this work, the scaling statistics of the dissipation along Lagrangian trajectories are investigated  by using fluid tracer particles obtained from a high resolution direct numerical simulation with $Re_{\\lambda}=400$. Both the energy dissipation rate $\\epsilon$ and the local time averaged $\\epsilon_{\\tau}$ agree rather well with the lognormal distribution hypothesis. Several statistics are then examined. It is found that the autocorrelation function $\\rho(\\tau)$ of $\\ln(\\epsilon(t))$ and variance $\\sigma^2(\\tau)$ of $\\ln(\\epsilon_{\\tau}(t))$ obey a log-law with scaling exponent $\\beta'=\\bet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4210","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"}