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In this research, we develop a mathematical model to investigate the effectiveness of embankment and vegetation on the reduction of wave run-up. We solve the model numerically using a staggered conservative scheme. Wave run-up testing on a sloping beach is conducted to show the accuracy of our numerical scheme. In this case, we compare our numerical results with data of laboratory experiments of Synolakis provided in [9]. The results of the comparison show that the numerical results are in good agreement with the experimental data. Further, the results of the influence of the vegetation, embankment, and combination of both of them are presented in the article.

proceedings of the proceedings of the 7th mathematics, science, and computer science education international seminar, msceis 2019, 12 october 2019, bandung, west java, indonesia

Staggered Numerical Modeling for Investigating the Effectiveness of Embankment and Vegetation on the Reduction of Wave Run-up