MULTICOMPONENT LATTICE-BOLTZMANN MODEL WITH INTERPARTICLE INTERACTION

A lattice Boltzmann model for simulating fluids with multiple componen ts and interparticle forces proposed by Shan and Chen is described in detail. Macroscopic equations governing the motion of each component a re derived by using the Chapman-Enskog method. The mutual diffusivity in a binary mixture is calculated analytically and confirmed by numeri cal simulation. The diffusivity is generally a function of the concent rations of the two components but independent of the fluid velocity, s o that the diffusion is Galilean invariant. The analytically calculate d shear kinematic viscosity of this model is also confirmed numericall y.