Complex Systems

How the Lattice Gas Model for the Navier-Stokes Equation Improves When a New Speed is Added Download PDF

Shiyi Chen
Hudong Chen
Gary D. Doolen
Center for Nonlinear Studies, Los Alamos National Laboratory,
Los Alamos, NM 87545, USA


The original lattice gas automaton model requires a density-dependent rescaling of time, viscosity, and pressure in order to obtain the Navier-Stokes equation. Also, the corresponding equation-of-state contains an unphysical velocity dependence. We show that an extension of this model which includes six additional particles with a new speed overcomes both problems to a large extent. The new model considerably extends the range of allowed Reynolds number.