Solitary Wave Runup and Rundown on a Steep Slope

A numerical model is presented for the simulation of wave propagation, runup on steep slope. First, the model has been first carefully validated for the solitary wave propagation in constant water depth, the numerical results agree with the analytical solution nearly perfectly even after the propagation of long distance. The nonbreaking solitary wave runup on a slope is simulated and the results agree very well with laboratory data of maximum runup, shoreline motion, and spatial profiles of near‐shore free surface elevation.