  Saturated vapor condensation on the homogeneous and heterogeneous sub-cooled
wall under gravity was numerically simulated by the improved pseudo-potential
phase-change multiple-relaxation-time lattice Boltzmann (LB) method. Firstly,
the phase-change LB method coupling finite different method to solve the energy
equation was verified by the D-2 law of the droplets evaporation, which improve
the model could precisely realize the numerical simulation of phase change.
