Smoothed Particle Hydrodynamics Simulation of Water-Soil Mixture Flows

Abstract

AbstractA two-phase smoothed particle hydrodynamics (SPH) mixture model to simulate water-soil interactions is presented. In this model, each phase of the mixture satisfies its own conservation equations of mass and momentum. The water is considered as a Newtonian fluid and the soil is modeled as an elastic-perfectly plastic material. Drucker-Prager criterion is employed to test the yielding of the soil and an associated flow rule is adopted to describe the soil behavior after yielding. Interactions between water and soil are modeled by the viscous drag force according to Darcy’s law. With this mixture model, it is possible to investigate the temporal and spatial evolutions of the volume fractions of both phases. This study first examines the proposed SPH mixture model for two single-phase flows, i.e., water dam break and sand column collapse, respectively. The drag force model is also tested using the problem of flow in porous media. Then its application to the problem of soil excavation by high-velocity...