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1- Faculty of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran
Abstract:   (17 Views)
Climate-change-driven sea-level rise reduces breakwater freeboard and can permit larger wave groups to reach the structure before depth-induced breaking occurs, thereby increasing run-up and overtopping. This study evaluates the hydraulic resilience of two conceptual concrete armor geometries: a symmetric unit (Type A1; 1:1 aspect ratio) and an elongated unit (Type A2; 1:2 aspect ratio). Six rubble-mound breakwater configurations (B1-B6), combining slopes of 1:1.5 and 1:2.0 with regular or irregular placement, were represented as fixed geometries in FLOW-3D. The numerical model used three-dimensional Reynolds-averaged Navier-Stokes equations, an RNG k-ε closure, volume-of-fluid free-surface tracking, FAVOR geometry representation, and a porous-core formulation. Irregular incident waves were generated from a normalized JONSWAP spectrum with significant wave heights of 1.6 and 1.8 m, a peak period of 6.0 s, and still-water depths of 3.3, 3.8, and 4.3 m. Model performance was checked against published overtopping data. A local-maximum crest-exceedance analysis and empirical crest-exceedance response curves were used to quantify the hydraulic response across the modeled water levels; this hydraulic limit state does not represent physical armor displacement or breakage. Across the six configurations, the +1.0 m water-level scenario increased exceedance probability by 21-57 percentage points relative to baseline. When averaged across the two modeled significant wave heights, B3 (irregular A2, slope 1:1.5) increased from 35% to 92%, whereas B1 (regular A1, slope 1:1.5) increased from 15% to 38%. The response is consistent with greater flow-path tortuosity in the symmetric layer and preferential channeling in irregular elongated arrangements. Screening-level Hudson mass corrections indicate substantially larger adaptation demands for A2. Because the armor units were fixed and the probabilities were derived from finite numerical records at three water levels, the results should be interpreted as comparative hydraulic screening metrics rather than annual failure probabilities or structural service-life predictions.
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Highlights
  • Six breakwater configurations compared under JONSWAP waves and SLR scenarios.
  • Symmetric A1 armor showed lower crest-exceedance than elongated A2 armor.
  • At +1.0 m SLR, crest-exceedance rose by 21–57 percentage points.
  • Irregular A2 on 1:1.5 slope increased from 35% to 92% exceedance.
  • Hudson screening suggests much larger compensatory mass for elongated A2.

 
Type of Study: Research Paper | Subject: Offshore Structure
Received: 2026/06/25 | Accepted: 2026/09/26

References
1. Sorensen, R. M. (2006). Basic coastal engineering. Boston, MA: Springer US. [DOI:10.1007/b101261]
2. Marashian, S. M., Adjami, M., & Amirabadi, R. (2022). Experimental Evaluation of the Stability of Rubble Mound Breakwater with New Recommended Concrete Armor. Journal Of Marine Engineering, 18(35), 97-110.
3. Chegini, V., & Aghtouman, P. (2006). An investigation on the stability of rubble mound breakwaters with armour layers of antifer cubes. Journal Of Marine Engineering, 2(1), 86-93.
4. Nodeh, H. M., Dezvareh, R., & Yousefifard, M. (2024). Numerical Analysis of the Effects of Rubble Mound Breakwater Geometry Under the Effect of Nonlinear Wave Force. Arabian Journal for Science and Engineering, 49(4), 5767-5783. [DOI:10.1007/s13369-023-08520-2]
5. Van der Meer, J. W., Allsop, N. W. H., Bruce, T., De Rouck, J., Kortenhaus, A., Pullen, T., ... & Zanuttigh, B. (2016). EurOtop-Manual on wave overtopping of sea defences and related structures. An overtopping manual largely based on European research, but for worldwide application.
6. Fox-Kemper, B. (2021, December). Ocean, cryosphere and sea level change. In AGU fall meeting abstracts (Vol. 2021, pp. U13B-09).
7. Tucker, M. J., & Pitt, E. G. (2001). Waves in ocean engineering.
8. Hasselmann, K., Barnett, T. P., Bouws, E., Carlson, H., Cartwright, D. E., Enke, K., ... & Walden, H. (1973). Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Ergaenzungsheft zur Deutschen Hydrographischen Zeitschrift, Reihe A.
9. Mansard, E. P., & Funke, E. R. (1980). The measurement of incident and reflected spectra using a least squares method. In Coastal Engineering 1980 (pp. 154-172). [DOI:10.1061/9780872622647.008]
10. Nematollahi, M., & Moghim, M. N. (2020). Numerical Simulation of Spatial Distribution of Wave Overtopping on Non-reshaping Berm Breakwaters: M. Nematollahi, MN Moghim. Journal of Marine Science and Application, 19(2), 301-316. [DOI:10.1007/s11804-020-00147-1]
11. Cavallaro, L., Dentale, F., Donnarumma, G., Foti, E., Musumeci, R. E., & Pugliese Carratelli, E. (2012, July). Rubble mound breakwater overtopping estimation of the reliability of a 3D numerical simulation. In 33rd international conference on coastal engineering (pp. 1-9). [DOI:10.9753/icce.v33.structures.8]
12. Dezvareh, R., Bargi, K., & Moradi, Y. (2012). Assessment of Wave Diffraction behind the Breakwater Using Mild Slope and Boussinesq Theories. International Journal of Computer Applications in Engineering Sciences, 2(2).
13. Ghasemi, A., Amirabadi, R., Kamalin, U. R., & Rezaee Mazyak, A. (2021). Numerical modeling of armour type and arrangement effects on wave overtopping at rubble mound breakwater. International Journal of Maritime Technology, 15, 147-155.
14. Mata, M. I., & van Gent, M. R. (2023). Numerical modelling of wave overtopping discharges at rubble mound breakwaters using OpenFOAM®. Coastal Engineering, 181, 104274. [DOI:10.1016/j.coastaleng.2022.104274]
15. Bahadir, M. (Ed.). (2017). Integrating Ecosystems in Coastal Engineering Practice (INECEP): Water Perspectives in Emerging Countries. Proceedings of the Summer School September 18-30, 2017-Puerto Morelos, Mexico. Cuvillier Verlag.
16. Moretto, M. (2020). An efficient numerical approach to model wave overtopping of rubble mound breakwaters. Unpublished doctoral dissertation). TU Delft.
17. Molines, J., & Medina, J. R. (2015). Calibration of overtopping roughness factors for concrete armor units in non-breaking conditions using the CLASH database. Coastal Engineering, 96, 62-70. [DOI:10.1016/j.coastaleng.2014.11.008]
18. Moreno, A. J. (2017). Experimental study on the wave overtopping performance of Xbloc+ armour unit. Delft University of Technology.
19. Safa, E., Mojtahedi, A., Mohammadian, A., & Yaghin, M. A. L. (2024). Hydrodynamic assessment of a new nature-based armour unit on rubble mound breakwater for coastal protection. China Ocean Engineering, 38(3), 439-452. [DOI:10.1007/s13344-024-0035-9]
20. Shen, Z., Huang, D., Wang, G., & Jin, F. (2024). Numerical study of wave interaction with armour layers using the resolved CFD-DEM coupling method. Coastal Engineering, 187, 104421. [DOI:10.1016/j.coastaleng.2023.104421]
21. Flow Science. (2014). FLOW-3D User Manual. Version 11.
22. Paulsen, B. T., Bredmose, H., & Bingham, H. B. (2014). An efficient domain decomposition strategy for wave loads on surface piercing circular cylinders. Coastal engineering, 86, 57-76. [DOI:10.1016/j.coastaleng.2014.01.006]
23. Hirt, C. W., & Nichols, B. D. (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of computational physics, 39(1), 201-225. [DOI:10.1016/0021-9991(81)90145-5]
24. Hirt, C. W., & Sicilian, J. M. (1985, September). A porosity technique for the definition of obstacles in rectangular cell meshes. In International Conference on Numerical Ship Hydrodynamics, 4th.
25. Yakhot, V., & Orszag, S. A. (1986). Renormalization group analysis of turbulence. I. Basic theory. Journal of scientific computing, 1(1), 3-51. [DOI:10.1007/BF01061452]
26. Marashian, S. M., Adjami, M., & Rezaee Mazyak, A. (2019). Numerical Simulation of Wave Overtopping Over Composite Berm Breakwater. Journal Of Marine Engineering, 15(29), 25-38.
27. Dentale, F., Donnarumma, G., & Pugliese Carratelli, E. (2012). Wave run up and reflection on tridimensional virtual breakwater. Journal of Hydrogeology & Hydrologic Engineering, 1, 1-8. [DOI:10.4172/2325-9647.1000101]
28. Li, X., & Zhang, W. (2019). 3D numerical simulation of wave transmission for low-crested and submerged breakwaters. Coastal Engineering, 152, 103517. [DOI:10.1016/j.coastaleng.2019.103517]
29. Musa, M. A., Maliki, A. Y., Ahmad, M. F., Sani, W. N., Yaakob, O., & Samo, K. B. (2017). Numerical simulation of wave flow over the overtopping breakwater for energy conversion (OBREC) device. Procedia engineering, 194, 166-173. [DOI:10.1016/j.proeng.2017.08.131]
30. Hydraulics Research Station (Great Britain). (1980). Design of seawalls allowing for wave overtopping (Vol. 924). Hydraulics Research Station.
31. Ye, J., & Cao, D. (2026). Spatial distribution of wave-by-wave overtopping behind coastal structures: a critical review of the literature and a novel semi-analytical model. Coastal Engineering Journal, 68(1), 81-113. [DOI:10.1080/21664250.2026.2613601]
32. Gholizadeh, S., Dezvareh, R., & Kiani, A. (2024). Comparison of different support vector machine kernels for monitoring of the last decade of the Iranian part of eastern Caspian Lake. International Journal Of Coastal, Offshore And Environmental Engineering (ijcoe), 9(1), 55-63.
33. Habib, M. A., Abolfathi, S., O'Sullivan, J. J., & Salauddin, M. (2025). Improved predictive formulae for wave overtopping at sloped breakwaters using interpretable machine learning models. Plos one, 20(12), e0337830. [DOI:10.1371/journal.pone.0337830] [PMID] [PMCID]

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