Abstract

A 2D nonlinear numerical wave flume is developed to investigate the wave train impact on a vertical seawall. Fully nonlinear kinematic and dynamic boundary conditions are satisfied on the instantaneous free surface. Cases of single-, double- and multi-crest wave trains are discussed. For single-crest wave train cases, the present nonlinear results are compared with the solution of the Serre-Green-Naghdi (SGN) model, showing good agreement. For double-crest wave train cases, the SGN model underestimates the maximum wave run-up along the vertical seawall. Compared with the linear results, the nonlinearity for double-crest cases can lead to an evident increase of the wave run-up and high-frequency free-surface oscillations. Through a fast Fourier analysis, evident nonlinear characteristics of the time series of the wave run-up and wave load during the wave impact process are confirmed. For multi-crest wave train cases, irregular wave run-ups can be observed. In some cases, the wave run-up along the vertical seawall can reach about 6 times that of the incident wave, which should be considered carefully in a practical design.

Highlights

  • Vertical seawalls are commonly used for coastal protection

  • In rough sea conditions where extreme waves exist, seawall is periodically impacted by shoaling waves, accompanied by high wave run-ups and hydrodynamic loads

  • Carbone et al [21] observed in their numerical simulations that analyzed the solitary wave action on a vertical seawall using time-domain boundary element method (BEM), where waves acting a multi-crest wave train canshowed produce higher wave run-ups vertical compared on the vertical seawall stronger nonlinearity compared on witha those on anwall, inclined wall

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Summary

Introduction

Vertical seawalls are commonly used for coastal protection. In rough sea conditions where extreme waves exist, seawall is periodically impacted by shoaling waves, accompanied by high wave run-ups and hydrodynamic loads. Carbone et al [21] observed in their numerical simulations that analyzed the solitary wave action on a vertical seawall using time-domain BEM, where waves acting a multi-crest wave train canshowed produce higher wave run-ups vertical compared on the vertical seawall stronger nonlinearity compared on witha those on anwall, inclined wall. Anof unusual amplification of the wave run-up simulations, the Serre-Green-Naghdi (SGN) model, which satisfies a weak dispersion relationship, was found, the HOS model was still limited to the expansion of nonlinear terms in was adopted [22,23,24,25], which loses accuracy in water of finite depth for high amplitudes [26]. According to their this aprocess shows very strong et al [27] further investigated a modulated multi-crest wave studies, train impacting vertical seawall using nonlinearity. Strong nonlinear characteristics of wave run-ups and loads on the vertical are further investigated

Materials
Results and Discussion
Single-Crest
Multi-Crest Wave Train
13. History of of wave verticalwall wallforfor multi-crest wave of different
Conclusions
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