{ "id": "1301.5519", "version": "v1", "published": "2013-01-23T14:51:14.000Z", "updated": "2013-01-23T14:51:14.000Z", "title": "Lagrangian Markovianized Field Approximation for turbulence", "authors": [ "Wouter Bos", "Jean-Pierre Bertoglio" ], "journal": "Journal of Turbulence 14, 1 (2013) 99", "doi": "10.1080/14685248.2012.758422", "categories": [ "physics.flu-dyn" ], "abstract": "In a previous communication (W.J.T. Bos and J.-P. Bertoglio 2006, Phys. Fluids, 18, 031706), a self-consistent Markovian triadic closure was presented. The detailed derivation of this closure is given here, relating it to the Direct Interaction Approximation and Quasi-Normal types of closure. The time-scale needed to obtain a self-consistent closure for both the energy spectrum and the scalar variance spectrum is determined by evaluating the correlation between the velocity and an advected displacement vector-field. The relation between this latter correlation and the velocity-scalar correlation is stressed, suggesting a simplified model of the latter. The resulting closed equations are numerically integrated and results for the energy spectrum, scalar fluctuation spectrum and velocity-displacement correlation spectrum are presented for low, unity and high values of the Schmidt number.", "revisions": [ { "version": "v1", "updated": "2013-01-23T14:51:14.000Z" } ], "analyses": { "keywords": [ "lagrangian markovianized field approximation", "energy spectrum", "turbulence", "self-consistent markovian triadic closure", "scalar variance spectrum" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Turbulence", "year": 2013, "month": "Jan", "volume": 14, "number": 1, "pages": 99 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013JTurb..14...99B" } } }