Modelling of a free surface flow at variable gravity conditions with SPH

Abstract

Smoothed Particle Hydrodynamics (SPH) are adapted to model a free surface flow at variable gravity conditions. Implementation of SPH related to high gravity fields are discussed. The analysis shows that the original formulation of SPH needs no modification for the variation of gravity, though a smaller time step must be used. Numerical simulations of a water flow problem show that SPH is consistent at different gravity fields, and produce reasonable results. The scaling principle of the velocity and time of a flowing mass down an incline is discussed.