Finite Element Model of Rock Obstruction on Overtopping at the Coastline


  • Rony Genevent Marpaung Universitas Sumatera Utara, Medan, Indonesia
  • Tulus Universitas Sumatera Utara, Medan, Indonesia
  • Mardiningsih Universitas Sumatera Utara, Medan, Indonesia




Finite Element Method, Overtopping, Rock, Coastline


Wave overtopping is a common phenomenon that occurs during extreme sea conditions, where water waves travel over the surface of an open structure towards the sea and pass over its crest. To prevent flooding and coastal erosion, rock structures are often constructed as wave barriers along the shore. These barriers serve as a solution to mitigate wave overtopping. One of the key factors influencing overtopping is the arrival of continuous and sufficiently high-water waves that can pass through the top of coastal defense structures. Several phase settlement methods have been developed and applied to analyze wave overtopping using the Navier-Stokes (NS) equation. By employing the finite element method, numerical solutions and simulations are sought by inputting specific parameter values. This process aims to validate the accuracy of the resulting mathematical model. To accomplish this, a program is developed based on the discretization of the model, enabling a system analysis approach. The obtained results exhibit minimal error values, thereby demonstrating optimal outcomes in terms of rock placement. The entire fluid mechanics system analysis is simulated using the COMSOL Multiphysics 5.6 program, which provides a comprehensive platform for studying and evaluating the performance of the wave barrier system


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Author Biographies

Tulus, Universitas Sumatera Utara, Medan, Indonesia



Mardiningsih, Universitas Sumatera Utara, Medan, Indonesia




Altomare, C., Gironella, X., & Crespo, A. J. C. (2021). Simulation of random wave overtopping by a WCSPH model. Applied Ocean Research, 116, 102888.

Capel, A. (2015). Wave run-up and overtopping reduction by block revetments with enhanced roughness. Coastal Engineering, 104, 76–92.

Chen, H.-P., & Mehrabani, M. B. (2019). Lifetime wave overtopping risk analysis of sea defences subjected to changing operational conditions. Engineering Failure Analysis, 97, 464–479.

Chen, W., Warmink, J. J., Van Gent, M. R. A., & Hulscher, S. (2022). Numerical investigation of the effects of roughness, a berm and oblique waves on wave overtopping processes at dikes. Applied Ocean Research, 118, 102971.

Esteban, G. A., Aristondo, A., Izquierdo, U., Blanco, J. M., & Pérez-Morán, G. (2022). Experimental analysis and numerical simulation of wave overtopping on a fixed vertical cylinder under regular waves. Coastal Engineering, 173, 104097.

Hasanpour, A., Istrati, D., & Buckle, I. (2021). Coupled SPH–FEM modeling of tsunami-borne large debris flow and impact on coastal structures. Journal of Marine Science and Engineering, 9(10), 1068.

Hofland, B., Chen, X., Altomare, C., & Oosterlo, P. (2017). Prediction formula for the spectral wave period Tm-1, 0 on mildly sloping shallow foreshores. Coastal Engineering, 123, 21–28.

Latham, J.-P., Mindel, J., Guises, R., Garcia, X., Xiang, J., Pain, C., & Munjiza, A. (2009). Coupled FEM-DEM and CFD for coastal structures: application to armour stability and breakage. In Coastal Structures 2007: (In 2 Volumes) (pp. 1453–1464). World Scientific.

Marijnissen, R. J. C., Kok, M., Kroeze, C., & van Loon-Steensma, J. M. (2021). Flood risk reduction by parallel flood defences–Case-study of a coastal multifunctional flood protection zone. Coastal Engineering, 167, 103903.

Takagi, H., Tomiyasu, R., Oyake, T., Araki, T., Mori, K., Matsubara, Y., Ninomiya, Y., & Takata, Y. (2020). Tsunami intrusion through port breakwaters enclosed with self-elevating seawalls. Ocean Engineering, 199, 107028.

Tulus, Khairani, C., Marpaung, T. J., & Suriati. (2019). Computational analysis of fluid behaviour around airfoil with Navier-Stokes equation. Journal of Physics: Conference Series, 1376(1), 12003.

Tulus, Mardiningsih, Sawaluddin, Sitompul, O. S., & Ihsan, A. K. A. M. (2018). Shear rate analysis of water dynamic in the continuous stirred tank. IOP Conference Series: Materials Science and Engineering, 308(1), 12048.

Tulus, Sefnides, I. Z., Sawaluddin, Suriati, & Dwiastuti, M. (2018). Modeling of sedimentation process in water. Journal of Physics: Conference Series, 978(1), 12080.

Van Bergeijk, V. M., Warmink, J. J., & Hulscher, S. J. M. H. (2022). The wave overtopping load on landward slopes of grass-covered flood defences: Deriving practical formulations using a numerical model. Coastal Engineering, 171, 104047.

van Gent, M. R. A., Wolters, G., & Capel, A. (2022). Wave overtopping discharges at rubble mound breakwaters including effects of a crest wall and a berm. Coastal Engineering, 176, 104151.

Wang, Y. (2018). Transformed Rayleigh distribution of trough depths for stochastic ocean waves. Coastal Engineering, 133, 106–112.

Zheng, H., Shioya, R., & Mitsume, N. (2018). Large-scale parallel simulation of coastal structures loaded by tsunami wave using FEM and MPS Method. Journal of Advanced Simulation in Science and Engineering, 5(1), 1–16.


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How to Cite

Marpaung, R. G., Tulus, T., & Mardiningsih, M. (2023). Finite Element Model of Rock Obstruction on Overtopping at the Coastline. Sinkron : Jurnal Dan Penelitian Teknik Informatika, 7(3), 1619-1629.