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Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model

Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model
Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model
A 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
0378-4371
379-394
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4

Ansumali, S., Karlin, I.V. and Succi, S. (2004) Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model. Physica A: Statistical Mechanics and its Applications, 338 (3-4), 379-394.

Record type: Article

Abstract

A 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

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Published date: 15 July 2004

Identifiers

Local EPrints ID: 49207
URI: http://eprints.soton.ac.uk/id/eprint/49207
ISSN: 0378-4371
PURE UUID: 2866be31-67b5-4c8e-a9a2-d79a77144907

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Date deposited: 24 Oct 2007
Last modified: 13 Mar 2019 20:54

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Contributors

Author: S. Ansumali
Author: I.V. Karlin
Author: S. Succi

University divisions

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