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Article

Determination of Semi-Empirical Models for Mean Wave Overtopping Using an Evolutionary Polynomial Paradigm

1
Laboratori d’Enginyeria Maritima, Universitat Politècnica de Catalunya—BarcelonaTech, Calle Jordi Girona 1-3, 08034 Barcelona, Spain
2
Department of Civil Engineering, Ghent University, Technologiepark 60, 9052 Gent, Belgium
3
Department of Civil Engineering and Architecture, Technical University of Bari, via Amendola, 126/B, 70125 Bari, Italy
4
Disaster Prevention Research Institute, Kyoto University, Uji, Kyoto 611-0011, Japan
5
Hydro Technology Inst., Co., Ltd., Nakanoshima Daibiru 26F., Osaka 530-6126, Japan
*
Author to whom correspondence should be addressed.
J. Mar. Sci. Eng. 2020, 8(8), 570; https://doi.org/10.3390/jmse8080570
Received: 9 July 2020 / Revised: 24 July 2020 / Accepted: 27 July 2020 / Published: 29 July 2020
(This article belongs to the Special Issue Machine-Learning Methods and Tools in Coastal and Ocean Engineering)
The present work employs the so-called Evolutionary Polynomial Regression (EPR) algorithm to build up a formula for the assessment of mean wave overtopping discharge for smooth sea dikes and vertical walls. EPR is a data-mining tool that combines and integrates numerical regression and genetic programming. This technique is here employed to dig into the relationship between the mean discharge and main hydraulic and structural parameters that characterize the problem under study. The parameters are chosen based on the existing and most used semi-empirical formulas for wave overtopping assessment. Besides the structural freeboard or local wave height, the unified models highlight the importance of local water depth and wave period in combination with foreshore slope and dike slope on the overtopping phenomena, which are combined in a unique parameter that is defined either as equivalent or imaginary slope. The obtained models aim to represent a trade-off between accuracy and parsimony. The final formula is simple but can be employed for a preliminary assessment of overtopping rates, covering the full range of dike slopes, from mild to vertical walls, and of water depths from the shoreline to deep water, including structures with emergent toes. View Full-Text
Keywords: Evolutionary Polynomial Regression; wave overtopping; sea dikes Evolutionary Polynomial Regression; wave overtopping; sea dikes
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MDPI and ACS Style

Altomare, C.; Laucelli, D.B.; Mase, H.; Gironella, X. Determination of Semi-Empirical Models for Mean Wave Overtopping Using an Evolutionary Polynomial Paradigm. J. Mar. Sci. Eng. 2020, 8, 570. https://doi.org/10.3390/jmse8080570

AMA Style

Altomare C, Laucelli DB, Mase H, Gironella X. Determination of Semi-Empirical Models for Mean Wave Overtopping Using an Evolutionary Polynomial Paradigm. Journal of Marine Science and Engineering. 2020; 8(8):570. https://doi.org/10.3390/jmse8080570

Chicago/Turabian Style

Altomare, Corrado, Daniele B. Laucelli, Hajime Mase, and Xavi Gironella. 2020. "Determination of Semi-Empirical Models for Mean Wave Overtopping Using an Evolutionary Polynomial Paradigm" Journal of Marine Science and Engineering 8, no. 8: 570. https://doi.org/10.3390/jmse8080570

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