{"paper":{"title":"Nonlinear effects in buoyancy-driven variable density turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"C. P. Caulfield, J.D. Gibbon, P. Rao","submitted_at":"2016-01-13T23:43:50Z","abstract_excerpt":"We consider the time-dependence of a hierarchy of scaled $L^{2m}$-norms $D_{m,\\omega}$ and $D_{m,\\theta}$ of the vorticity $\\boldsymbol {\\omega} = \\boldsymbol{\\nabla} \\times {\\mathbf u}$ and the density gradient $\\boldsymbol{\\nabla} \\theta$, where $\\theta=\\log (\\rho^*/\\rho^*_0)$, in a buoyancy-driven turbulent flow as simulated by \\cite{LR2007}. $\\rho^*({\\mathbf x},\\,t) $ is the composition density of a mixture of two incompressible miscible fluids with fluid densities $\\rho^*_2 > \\rho^*_1$ and $\\rho^*_{0}$ is a reference normalisation density. Using data from the publicly available Johns Hopk"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03445","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"}