Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and Microscopic Derivation of Smagorinsky Model
Ansumali, Santosh ; Karlin, Iliya V. ; Succi, Sauro
arXiv, 0310618 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-10-27
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics,  Physics - Fluid Dynamics 
@article{0310618,
     author = {Ansumali, Santosh and Karlin, Iliya V. and Succi, Sauro},
     title = {Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and
  Microscopic Derivation of Smagorinsky Model},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310618}
}

Ansumali, Santosh; Karlin, Iliya V.; Succi, Sauro. Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and
  Microscopic Derivation of Smagorinsky Model. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310618/