Numerical Simulation of Sub-Surface Landslide Waves Using A explicit three-step compressible SPH algorithm

The coastal waves caused by landslide in the lake of reservoir dams can threaten the safety of the dam. Therefore, the exact recognition of hydraulic flow due to coastal waves has always been of interest to researchers. So far, extensive laboratory and numerical research has been devoted to it. In this research, a completely lagrangian numerical method which is based on particle and non grid called the Smoothed Particle Hydrodynamic Method (SPH) is used to simulate coastal waves due to landslide. In the present study, a new three-step SPH algorithm based on the prediction and correction method is solved by governing equations. In order to validate the method, the laboratory datas of the dam break problem on dry bed has been used. The results of this study approximated the analytical solution well. Also, the correlation coefficient of 0.9998, the mean absolute error of 0.5426 and the efficiency coefficient of the Nash-Sutcliff model 0.974 for the calculated parameters indicate that the model is accurately. In addition, the results showed that the ability of the present model in the numerical simulation of sub-surface landslide wave in the production region and run-up region is high, and it simulates the propagation region very well with a accuracy of 95%. With the comparison of measured and laboratory results, the correlation coefficient and the root mean square error were 0.95 and 0.0071 respectively, which indicates the high accuracy of the model in calculating the surface water profile due to subsurface landslide.