Continuous-velocity lattice-gas model for fluid flow
Department of Physics, Theoretical Physics - 1 Keble Road, Oxford OX1 3NP, UK
2 Chemical Physics Theory Group, Department of Chemistry, University of Toronto Toronto, Ontario M5S 3H6, Canada
Accepted: 8 October 1998
A continuous-velocity lattice-gas model for fluid dynamics computations is constructed. The model combines a stochastic propagation scheme with a multi-particle collision rule that conserves mass, momentum and energy. It is demonstrated that the particle velocities have a Maxwell-Boltzmann distribution at equilibrium. A Chapman-Enskog analysis leads to the Navier-Stokes equation. Simulations support the results of the theoretical analysis and demonstrate that the model reproduces the observed behavior of flows for various values of the Reynolds number. The model also provides a means to investigate the statistical mechanical basis of macroscopic laws.
PACS: 02.70.Ns – Molecular dynamics and particle methods / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 47.11.+j – Computational methods in fluid dynamics
© EDP Sciences, 1998