Complex Systems

Lattice Gas Automata of Fluid Dynamics for Unsteady Flow Download PDF

Hwa A. Lim
Supercomputer Computations Research Institute,
Florida State University, Tallahassee, Florida 32306-4052, USA


We study lattice gas automata of fluid dynamics in the incompressible flow limit. It is shown that the viscosity effect on the transition layer from the steady uniform velocity in one stream to the steady uniform velocity in another, adjacent stream produces the correct profile. We further study the intrinsic damping or smoothing action of viscous diffusion and show that the results agree with those obtained from the Navier-Stokes equation. In both cases, we obtain a kinetic viscosity , consistent with the prediction of Boltzmann approximation.