Compressible solver for two-phase flows with sharp interface and capillary effects preserving accuracy in the low Mach regime

•Ghost Fluid method for sharp interface compressible two-phase flows.•Low Mach regime analysis adapted to compressible flows with sharp interfaces and surface tension effects.•New low Mach scheme adapted to large density ratio and important Mach variation across the interface.•Good convergence property of the new low Mach scheme.