Abstract
The basic method of smoothed particle hydrodynamics (SPH) has been applied to simulate two-phase flow of water and air, of which motion near the interface influences that of water, as in the case of breaking waves and in skimming flows in steep sloped channels. The form of the particle interpolation for the divergence and the pressure gradient are chosen so that the stability of the calculation is maintained. The method has been verified in the calculation of dam-break flow with air trapped under water and used to simulate the skimming flows in stepped channel. The calculation results agree with the experiments. In the calculation of the flow over the steps, not only is the trapped air but entrained air bubbles are reproduced fairly well. The detailed variation of the time-averaged mean quantities will have to be further examined but overall prediction with relatively small number of particles performed well.
