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Article

Hyperbolic Paraboloid Free-Surface Breakwaters: Hydrodynamic Study and Structural Evaluation

by
Hamid ElDarwich
*,
Gaoyuan Wu
,
Krisna A Pawitan
and
Maria Garlock
Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ 08544, USA
*
Author to whom correspondence should be addressed.
J. Mar. Sci. Eng. 2025, 13(2), 245; https://doi.org/10.3390/jmse13020245
Submission received: 27 December 2024 / Revised: 13 January 2025 / Accepted: 20 January 2025 / Published: 27 January 2025
(This article belongs to the Special Issue Numerical Analysis and Modeling of Floating Structures)

Abstract

This study investigates the potential of hyperbolic paraboloid (hypar) shapes for enhancing wave attenuation and structural efficiency in Free-Surface Breakwaters (FSBW). A decoupled approach combining Smoothed Particle Hydrodynamics (SPH) and Finite Element Method (FEM) is employed to analyze hypar-faced FSBW performance across varying hypar warping values and wave characteristics. SPH simulations, validated through experiments, determine wave attenuation performance and extract pressure values for subsequent FEM analysis. Results indicate that hypar-faced FSBW produces increased wave attenuation compared to traditional flat-faced designs, particularly for shorter wave periods and smaller drafts. Furthermore, hypar surfaces exhibit up to three times lower principal stresses under wave loading compared to the flat counterpart, potentially allowing for thinner surfaces. The study also shows that peak-load static stress values provide a reasonable approximation for preliminary design, with less than 6% average difference compared to dynamic analysis results. In summary, this research presents hypar-faced FSBW as a promising alternative in coastal defense strategies, offering effective wave attenuation and structural efficiency in the context of rising sea levels and increasing storm intensities.
Keywords: hydrodynamics; marine structures; wave load; fluid–structure interaction; hyperbolic paraboloid; free-surface breakwaters; wave attenuation; structural efficiency; SPH; FEM; coastal defense; climate change adaptation hydrodynamics; marine structures; wave load; fluid–structure interaction; hyperbolic paraboloid; free-surface breakwaters; wave attenuation; structural efficiency; SPH; FEM; coastal defense; climate change adaptation

Share and Cite

MDPI and ACS Style

ElDarwich, H.; Wu, G.; Pawitan, K.A.; Garlock, M. Hyperbolic Paraboloid Free-Surface Breakwaters: Hydrodynamic Study and Structural Evaluation. J. Mar. Sci. Eng. 2025, 13, 245. https://doi.org/10.3390/jmse13020245

AMA Style

ElDarwich H, Wu G, Pawitan KA, Garlock M. Hyperbolic Paraboloid Free-Surface Breakwaters: Hydrodynamic Study and Structural Evaluation. Journal of Marine Science and Engineering. 2025; 13(2):245. https://doi.org/10.3390/jmse13020245

Chicago/Turabian Style

ElDarwich, Hamid, Gaoyuan Wu, Krisna A Pawitan, and Maria Garlock. 2025. "Hyperbolic Paraboloid Free-Surface Breakwaters: Hydrodynamic Study and Structural Evaluation" Journal of Marine Science and Engineering 13, no. 2: 245. https://doi.org/10.3390/jmse13020245

APA Style

ElDarwich, H., Wu, G., Pawitan, K. A., & Garlock, M. (2025). Hyperbolic Paraboloid Free-Surface Breakwaters: Hydrodynamic Study and Structural Evaluation. Journal of Marine Science and Engineering, 13(2), 245. https://doi.org/10.3390/jmse13020245

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