A weakly compressible scheme for gas-liquid two-phase flows with low Mach number is proposed for a fully explicit time integration. To capture the gas-liquid inter- face, the conservative phase-field equation is solved by using the multi-moment method. The AMR(Adaptive Mesh Refinement) method greatly reduces the computational cost by assigning high-resolution mesh to the region around the moving interface. Several benchmark problems are examined and the results of the explicit scheme are in good agreement with the experimental and computational references and we successfully car- ried out some violent two-phase flow simulations by using the method which is combined weakly compressible scheme with AMR method.
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