{ "id": "0904.0818", "version": "v2", "published": "2009-04-05T20:41:25.000Z", "updated": "2009-06-20T14:49:29.000Z", "title": "Self-Similar Solutions in the Homogeneous Isotropic Turbulence", "authors": [ "Nicola de Divitiis" ], "comment": "15 pages, 10 figures, submitted to Phys. Rev. E", "categories": [ "physics.flu-dyn", "physics.ao-ph" ], "abstract": "We calculate the self-similar longitudinal velocity correlation function, the energy spectrum and the corresponding other properties using a theory on the isotropic homogeneous turbulence just presented by the author in a previous work. The correlation functions correspond to steady-state solutions of the evolution equation under the self-similarity hypothesis introduced by von K\\'arm\\'an. These solutions are numerically calculated and the results adequately describe several properties of the isotropic turbulence.", "revisions": [ { "version": "v2", "updated": "2009-06-20T14:49:29.000Z" } ], "analyses": { "keywords": [ "homogeneous isotropic turbulence", "self-similar solutions", "self-similar longitudinal velocity correlation function", "correlation functions correspond", "energy spectrum" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0904.0818D" } } }