Simulation of sand particles flow with weakly compressible smoothed particle hydrodynamics method

In this research, using a mesh free particle method based on Lagrangian formulation called smoothed particle hydrodynamics (SPH), sand behaviour on the transformation of sandy beaches was simulated. In this paper, weakly compressibility condition was used for SPH algorithm. This algorithm is based on the application of Tait equation of state rather than Poisson’s equation for pressure calculation. In this research, sand behaviour was evaluated as a non-Newtonian fluid. In the validation process, flow under a gate, a dam break and sedimentation problem as a water-sediment two-phase flow were investigated. The results were validated with experimental data and numerical values and a good agreement was observed. The appearance of sandy beaches with given physical and rheological characteristics under the effect of a sinusoidal wave generator pedal was modeled under yield stress values of τy = 200 Pa and τy = 1000 Pa at different times. The shape of the simulated bed changed rapidly under the yield stress of τy = 200 Pa, so that the form of the bed ripples reached a relative stability after 2-4 seconds.