Upwind Solutions for Two-Phase Flow Based on a Hyperbolic Two-Dimensional Two-Fluid Model

In this study, two-phase flow problems are numerically solved in two dimensions using a two-fluid model. This model includes the surface-tension terms incorporated in the momentum equations. Then the governing equations become hyperbolic type for which the upwind method like flux vector splitting (FVS) avails. For numerical tests, two-phase shock tube problem is solved to show the wave propagation characteristics. Cavity growth on the surface of a hemisphere headform is also calculated as a feasibility study. Advantages and capability of the present method are discussed in some detail.