Explicit incompressible SPH algorithm for modelling channel and lid-driven flows

Abstract

In this paper, explicit incompressible Smoothed Particle Hydrodynamics (ISPH) algorithm is used to simulate two-dimensional channel flow, channel flow in the presence of a square solid object and lid-driven square cavity flow for both Newtonian and non-Newtonian fluids. It is demonstrated that 2640 particles are sufficient to predict the behavior of channel flow. As the power low index decreases, more iteration is needed to reach steady state conditions. The results reveal that only 1600 particles are required for reasonable prediction of lid-driven square cavity flow at Re = 100 and 400 and 6400 particles is required to predict it at Re = 1000. It is also concluded that the ISPH method has a high ability to predict the behavior of non-Newtonian power law fluids.