An equation-free multi-scale method was proposed for simulating two-phase gas-liquid separation processes. The method took the lattice Boltzmann (LB) model as the meso-scopic simulator. Only a small amount of evolutionary steps were needed during the calculation

and then the results obtained from the meso-scopic simulator were reasonably extrapolated by second-order telescopic projection to predict the results of follow-up evolutionary steps quickly and precisely. Thus multi-scale simulation of two-phase gas-liquid separation processes could be done. The details of phase separation were presented by comparing the numerical simulation results in terms of coexistence curves and spurious currents. The results showed that the macro-scale characteristics of phase separation could be quickly and accurately reflected by the proposed multi-scale simulation method

proving the accuracy and efficiency of the proposed method.