  In this study, a phase-field lattice Boltzmann model based on the Allen-Cahn
equation with a filtered collision operator and high-order corrections in the
equilibrium distribution functions is presented. Here we show that in addition
to producing numerical results consistent with prior numerical methods,
analytic solutions, and experiments with the density ratio of 1000, previous
numerical deficiencies are resolved. Specifically, the new model is
characterized by robustness at low viscosity, accurate prediction of shear
stress at interfaces, and removal of artificial dense bubbles and rarefied
droplets, etc.
