Yasuyuki Shimizu

Numerical simulation on local scour below a weir using two-phase WC-SPH method

In this study, numerical simulation of the local scour behind a weir due to overflow using a Lagrangian formulation of the Navier–Stokes equations, based on the weakly compressible smoothed particle hydrodynamics (WC-SPH) method, has been done. In this simulation, the advantages of SPH will be exploit-ed to simulate the soil–water interaction. Water is considered as a viscous fluid with weak compressibility and soil is assumed to be an elastic–plastic material. The elastic–perfectly plastic model based on Mohr–Coulomb’s failure criterion is implemented in SPH formulations to model the soil movement. Interaction between soil and water is taken into account by means of seepage force and pore water pressure. Numerical Simulation of local scour behind the weir has been done; the numerical results are then compared with experimental data. The results have shown that the proposed model could be considered a powerful tool to simulate extremely large deformation and failure of soil.