A density-based sharp-interface method for compressible gas-liquid flows

We have developed a novel density-based, sharp-interface method for solving numerically compressible two-phase (gas-liquid) flows that uses the minimum number of governing equations, i.e., four equations: conservation of mass, momentum, energy, and advection of color function. The interface between the gas and the liquid phases is sharply captured in a single computational cell with the volume of fluid (VoF) method. The VoF method is coupled in a consistent manner with a new flux integral method. The methodology is designed to capture sharply the flow discontinuities, i.e., shock-waves and gas-liquid interfaces. The results showing this feature are presented for the test-cases of air-water shock tube, and shock-wave/droplet interaction.