A numerical simulation of non-Newtonian 2D dam-break flows

The Moving Particle Semi-implicit method (MPS) is a Lagrangian particle method suitable for free surface flows. This paper couples the non-Newtonian model with the MPS method by treating the non-Newtonian fluid as Newtonian fluid with variable viscosity. In this paper, the non-Newtonian fluids are demonstrated using the Casson and Cross rheological models. A 2D mudflow dam-break problem is investigated and the results of numerical simulation are in good agreement with available experimental data and previous simulations. Moreover, the result shows the Casson and Cross flow propagates more slowly than the Newtonian flow.