Ansumali, Santosh; Karlin, Iliya V.; Succi, Sauro - In: Physica A: Statistical Mechanics and its Applications 338 (2004) 3, pp. 379-394
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...