Smoothed Particle Hydrodynamics for morphology changes and a non-Newtonian fluid

The interaction between bed-load sediment and water flow is an important topic of great concern which should be modeled for a wide range of hydrodynamic systems. In this paper, smoothed particle hydrodynamics (SPH) is utilized for the simulation of mudflow with non-Newtonian behavior and dam-break propagation over an erodible bed that sediment particles as weakly compressible flow are treated as a non-Newtonian fluid using Bingham-Cross model coupled with the Newtonian treat (Owen’s relation) at the interface. To cope with the difficulties arisen from different densities, the continuity and momentum equations are rather modified so that the interactions between the sediment and water are accurately modeled. To validate the Bingham-Cross model, a mudflow test case is studied and compared with other experimental and numerical studies. Then, the twophase model is used to simulate the dam-break models with PVC bed materials. Comparisons are then made with the available experimental data indicating that the defined SPH model provides the sensible prediction for a test case.