lattice boltzmann method simulations for multiphase fluids with redich-kwong equation of state

in this article we state that the compression factor of the redlich-kwong equation of state (eos) is smaller than that of van der waals eos. the redlich-kwong eos is in better agreement with experimental data on coexistence curves at the critical point than the van der waals eos. we implement the redlich-kwong eos in the lattice boltzmann method (lbm) simulations via a pseudo-potential approach. we propose a new force, which can obtain computational stationary and reach larger density ratio. as a result, multi-phase flows with large density ratio (up to 10¹² in the stationary case) can be simulated. we perform four numerical simulations, which are respectively related to single liquid droplet, vapor-liquid separation, surface tension and liquid coalescence of two droplets.