Numerical Analysis on Run-Up of Multi-Solitary Waves on A Planar Slope

Published in ISOPE International Ocean and Polar Engineering Conference, 2024

Tsunami waves transform into a series of solitary waves or undular bores over a mild slope. Nonlinear dispersion of water waves plays an important role in modeling tsunami wave propagation and deformation over varying bottom topography. This paper presents a numerical investigation on the shoaling and runup of multi-solitary waves using the fully nonlinear Boussinesq equations solved with a high-order adaptive timestepping TVD solver (FUNWAVE-TVD).We first simulated 1-D solitary waves traveling up a slope and then validated with solitary wave runup datasets from well-controlled laboratory experiments. Numerical results show that the runup of multi-solitary waves with uniform initial amplitude over a 1:20 slope varies with each individual wave. Then, we extended the simulations of multi-solitary wave evolution and overtaking collisions over a slope for the cases of unequal initial wave amplitude. Throughout our study, we meticulously analyzed and discussed details of wave profiles and runups considering the effects of wave breaking.

Recommended citation: Yan, Xingjian, Xu, Yiyang, and Liu, Hua. "Numerical Analysis on Run-up of Multi-Solitary Waves on a Planar Slope." Paper presented at the The 34th International Ocean and Polar Engineering Conference, Rhodes, Greece, June 2024.
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