Lagrangian Particle Method for Simulation of Wave Overtopping on a Vertical Seawall

TLDR

Particle methods, such as the moving particle semi‑implicit (MPS) approach, excel at capturing complex water surface dynamics involving fragmentation and coalescence. The study aims to reduce computational cost by improving the neighbor‑listing procedure in the MPS framework. Wave overtopping on a vertical seawall is simulated by discretizing the Navier‑Stokes equations with surface‑tension terms using the MPS method, incorporating the enhanced neighbor‑listing algorithm. The MPS simulations accurately reproduce the experimental overtopping process and the predicted overtopping volumes closely match measured values.

Abstract

A particle method, or a gridless Lagrangian method, shows the high performance in describing the complicated behavior of water surface with the fragmentation and coalescence of water. In this paper, a wave overtopping process on a vertical seawall is numerically simulated on the basis of the Navier-Stokes equation with surface-tension term, which is discretized by the MPS (moving particle semi-implicit) method belonging to the category of the particle method. An improvement of the listing process of neighboring particle is introduced to reduce the computational load. Wave overtopping process in the experiments are well reproduced by the MPS method. The predictions of the MPS method of the overtopping volume agree well with the experimental results.