Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and Microscopic Derivation of Smagorinsky Model

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dc.creatorAnsumali, Santosh
dc.creatorKarlin, Iliya V.
dc.creatorSucci, Sauro
dc.date2003-10-27
dc.date2004-02-06
dc.date.accessioned2026-07-07T02:54:26Z
dc.date.available2026-07-07T02:54:26Z
dc.descriptionA mean-field approach (filtering out subgrid scales) is applied to the Boltzmann equation in order to derive a subgrid turbulence model based on kinetic theory. It is demonstrated that the only Smagorinsky type model which survives in the hydrodynamic limit on the viscosity time scale is the so-called tensor-diffusivity model. Scaling of the filter-width with Reynolds number and Knudsen number is established. This sets the first rigorous step in deriving turbulence models from kinetic theory.
dc.description18 pages, Minor corrections, Accepted in Physica A
dc.identifierhttps://arxiv.org/abs/cond-mat/0310618
dc.identifierhttp://arxiv.org/abs/cond-mat/0310618
dc.identifierPhysica A, Vol. 338, pp. 379-394 (2004)
dc.identifierdoi:10.1016/j.physa.2004.02.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22544
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectFluid Dynamics
dc.titleKinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and Microscopic Derivation of Smagorinsky Model
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