Homogeneous mixture model simulation of compressible multi-phase flows at all Mach number

Abstract

The homogeneous mixture model with noble-abel stiffened-gas (NASG) equation of state is applied to solve the numerical simulation of compressible multi-phase flows. The gravity and surface tension forces are included, and a preconditioning scheme is used to improve the convergence of the low speed. In this study, oscillations of an elliptical drop were used to verify that the surface tension force and the sharp-interface-method works well without a numerical dissipation. These results were a success in that they were only about 1% differ from the analytic results. The dam-break problem to check unsteady and complex water surface tracking is comparable with the experimental data. The rising bubble with surface tension, viscous, and gravity effect is solved, and the bubble deformation and its evolution are comparable with the previous researchers. Air-Helium shock-bubble interaction and the underwater explosion problem for validation of a high-speed regime compared reasonably well with the experimental Schlieren results. The mixing and heat transfer between liquid and gas were analyzed during their interaction process.