Abstract
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.
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