Continuous-velocity lattice-gas model for fluid flow

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.