LATTICE GAS METHOD BASED ON THE CHAPMAN-ENSKOG EXPANSION

A new lattice gas is introduced based on the Chapman-Enskog expansion for small Knudsen numbers of a model Boltzmann equation. This kind of discrete dynamical system is intended to narrow the gap between ordinary lattice gases and the macroscopic incompressible Navier-Stokes equations, and to increase the efficiency and flexibility of lattice gas methods. The large scale evolution of the gas is shown to obey the Navier-Stokes equations. The linear stability of the system, considered as a finite-difference scheme, is studied. © 1990 American Institute of Physics.