Fundamental Study of Smoothed Particle Hydrodynamics

-Treatment of Two-Phase Flow-

Abstract

The smoothed particle hydrodynamics (SPH) method developed by Monaghan and Liversky, et al. is beset with the problem of numerical disorder at the interface of a two-phase flow such as that of gas and liquid. In this paper, new formulas for the SPH method, termed relaxation equations, suitable for treating the two-phase flow of nonviscous fluid are proposed. The relaxation equations are developed on the basis of the mass and momentum conservation equations. By using these equations, it is possible to suppress numerical disorder around the interface of two fluids.