A hybrid numerical model based on FNPT-NS for the estimation of long wave run-up

In the present paper, the hybrid numerical model (Sriram et al. (2014)) is used for the estimation of long wave run-up. The model is based on the strong coupling between the fully nonlinear potential flow theory (FNPT) at the far-field and Navier-Stokes (NS) equations in the nearshore. The simulations are carried out for the propagation and evolution of the tsunami-like waves, i.e., elongated single pulses having a realistic timescale. The model is validated from large scale experiments for the wave propagation as well as for run-up (Sriram et al., 2016). The numerical simulations are found to agree well with experiments. The model capability is shown for two different scenarios over a slope: (a) a rapidly rising tide including surging and spilling breaking and (b) undular bore formation and its plunging breaking on a beach. For the first case, the numerical model is also compared with the analytical estimates. The second case, undular bore breaking over a slope, shows the capability of the meshfree method and the requirements of the hybrid model. In many of the existing particle-based methods, dense distribution of particles is required to simulate the rapidly rising tide, which is not needed in the present model.