Analysis of subgrid scale turbulence using the Boltzmann Bhatnagar-Gross-Krook kinetic equation

The use of the Boltzmann kinetic equation provides a number of potential technical advantages in the analysis of subgrid scale fluid turbulence as compared to the Navier-Stokes hydrodynamic representation. The only nonlinearity in the Bhatnagar-Gross-Krook kinetic formalism occurs implicitly in the collision operator and is purely algebraic in form (even in real space). Since under Chapman-Enskog expansions one recovers the fluid equations, the alternative approach presented here should have straightforward applications to subgrid modeling of compressible turbulence and other more complex fluids. [S1063-651X(99)50803-9].