Lattice Boltzmann scheme for simulating two-phase flows

A finite difference lattice Boltzmann method (FDLBM) for two-phase flows pertinent to isothermal non-ideal fluids is proposed. This FDLBM introduces pseudo-potential and recovers a full set of hydrodynamic equations for non-ideal fluid through the Chapman-Enskog expansion procedure. Numerical measurement of surface tension agrees well with theoretical predictions. Simulations of two-phase phenomena, including phase-transition and droplets collision are carried out, showing applicability of the model for two-phase flows. Finite difference Lattice Boltzmann method ensures numerical stability of the scheme. This LB model retains advantages of conventional LB methods such as a linear advection in the kinetic equation and parallel nature in computing.