International Journal of Naval Architecture and Ocean Engineering

The Society of Naval Architects of Korea (대한조선학회)
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Study on slamming pressure calculation formula of plunging breaking wave on sloping sea dike

  • Yang, Xing (Hydraulic Research Institute of Jiangsu)
  • Received : 2016.07.29
  • Accepted : 2016.11.26
  • Published : 2017.07.31
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Abstract

Plunging breaker slamming pressures on vertical or sloping sea dikes are one of the most severe and dangerous loads that sea dike structures can suffer. Many studies have investigated the impact forces caused by breaking waves for maritime structures including sea dikes and most predictions of the breaker forces are based on empirical or semi-empirical formulae calibrated from laboratory experiments. However, the wave breaking mechanism is complex and more research efforts are still needed to improve the accuracy in predicting breaker forces. This study proposes a semi-empirical formula, which is based on impulse-momentum relation, to calculate the slamming pressure due to plunging wave breaking on a sloping sea dike. Compared with some measured slamming pressure data in two literature, the calculation results by the new formula show reasonable agreements. Also, by analysing probability distribution function of wave heights, the proposed formula can be converted into a probabilistic expression form for convenience only.

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References

  1. Avila, J.P.J., Adamowski, J.C., 2011. Experimental evaluation of the hydrodynamic coefficients of a ROV through Morison's equation. Ocean. Eng. 38, 2162-2170. https://doi.org/10.1016/j.oceaneng.2011.09.032
  2. Battjes, J.A., Groenendijk, H.W., 2000. Wave height distributions on shallow foreshores. Coast. Eng. 40 (3), 161-182. https://doi.org/10.1016/S0378-3839(00)00007-7
  3. Boccotti, P., Arena, F., Fiamma, V., Barbaro, G., 2012. Field experiment on random wave forces acting on vertical cylinders. Probabilistic Eng. Mech. 28 (4), 39-51. https://doi.org/10.1016/j.probengmech.2011.08.003
  4. Boccotti, P., Arena, F., Fiamma, V., Romolo, A., 2013. Two small-scale field experiments on the effectiveness of Morison's equation. Ocean. Eng. 57 (1), 141-149. https://doi.org/10.1016/j.oceaneng.2012.08.011
  5. Chella, M.A., Torum, A., Myrhaug, D., 2012. An overview of wave impact forces on offshore wind turbine substructures. Energy Procedia 20 (5), 217-226. https://doi.org/10.1016/j.egypro.2012.03.022
  6. Endresen, H.K., Torum, A., 1992. Wave forces on a pipeline through the surf zone. Coast. Eng. 18, 267-281. https://doi.org/10.1016/0378-3839(92)90023-N
  7. Fuhrboter, A., 1986. Model and prototype tests for wave impact and run-up on a uniform 1:4 slope. Coast. Eng. 10 (1), 49-84. https://doi.org/10.1016/0378-3839(86)90039-6
  8. Fuhrboter, A., Sparboom, U., 1988. Shock pressure interaction on prototype sea dikes caused by breaking waves. In: Proceedings of the International Symposium on Modelling Soil-Water-Structure Interactions, Rotterdam, Netherlands, pp. 243-252.
  9. Iafrati, A., Campana, E.F., 2003. A domain decomposition approach to compute wave breaking (wave-breaking flows). Int. J. Numer. Methods Fluids 41 (4), 419-445. https://doi.org/10.1002/fld.448
  10. Ikeno, M., Mori, N., Tanaka, H., 2001. Experimental study on tsunami force and impulsive force by a drifter under breaking bore like tsunamis. In: Proceedings of Coastal Engineering, vol. 48. JSCE.
  11. Ikeno, M., Tanaka, H., 2003. Experimental study on impulse force of drift body and tsunami running up to land. In: Proceedings of Coastal Engineering, vol. 50. JSCE.
  12. Jiang, C.B., Chen, J., Tang, H.S., Cheng, Y.Z., 2011. Hydrodynamic processes on beach: wave breaking, up-rush, and backwash. Commun. Nonlinear Sci. Numer. Simul. 16 (8), 3126-3139. https://doi.org/10.1016/j.cnsns.2010.11.021
  13. Kato, F., Inagaki, S., Fukuhama, M., 2006. Wave force on coastal dike due to tsunami. In: 30th Proceedings of Coastal Engineering. ASCE, pp. 5150-5161.
  14. Kiger, K.T., Duncan, J.H., 2012. Air-entrainment mechanisms in plunging jets and breaking Waves. Annu. Rev. Fluid Mech. 44, 563-596. https://doi.org/10.1146/annurev-fluid-122109-160724
  15. Kotoura, T., Sekimoto, T., Kawamoto, H., et al., 2010. Characteristics of wave force on seawall with large-scale artificial reef. In: Proceedings of the Japanese Conference on Coastal Engineering. JSCE, pp. 756-760.
  16. Lim, H.J., Chang, K.A., Huang, Z.C., Na, B., 2015. Experimental study on plunging breaking waves in deep water. J. Geophys. Res. Oceans 120 (3), 2007-2049. https://doi.org/10.1002/2014JC010269
  17. Liiv, T., 2001. Investigation of turbulence in a plunging breaking wave. Proc. Est. Acad. Sci. Engrng 7 (1), 58-78.
  18. Lin, T.C., Kao-Shu, H., Shih-Chun, H., Yang, R.Y., 2012. An experimental observation of a solitary wave impingement, run-up and overtopping on a seawall. J. Hydrodynamics 24 (1), 76-85. https://doi.org/10.1016/S1001-6058(11)60221-7
  19. Makris, C.V., Memos, C.D., Krestenitis, Y.N., 2016. Numerical modeling of surf zone dynamics under weakly plunging breakers with sph method. Ocean. Model. 98, 12-35. https://doi.org/10.1016/j.ocemod.2015.12.001
  20. Morison, J., O'brien, M., Johnson, J., Schaaf, S., 1950. The forces exerted by surface waves on piles. J. Petroleum Technol. 189, 149-154. Petroleum transactions, AMIE.
  21. Murphy, J., Schuttrumpf, H., Lewis, T., 2002. Wave run-up and overtopping of sea dikes: results from new model studies. Int. Symposium Ocean Wave Meas. Analysis 1575-1584.
  22. Naghipour, Morteza, 1996. The accuracy of hydrodynamic force prediction for offshore structures and Morison's equation. J. Urban & Environ. Eng. 8 (1), 3-10. https://doi.org/10.4090/juee.2014.v8n1.003010
  23. Nayak, S., Panchang, V., 2015. A note on short-term wave height statistics. Aquat. Procedia 4, 274-280. https://doi.org/10.1016/j.aqpro.2015.02.037
  24. Rausa, I.E., Muskulus, M., Oivind, A.A., Wasjo, K., 2015. Characterization of wave slamming forces for a truss structure within the framework of the waveslam project. Energy Procedia 80 (1), 276-283. https://doi.org/10.1016/j.egypro.2015.11.431
  25. Rattanapitikon, W., Shibayama, T., 2000. Verification and modification of breaker height formulas. Coast. Eng. J. 42 (4), 389-406. https://doi.org/10.1142/S0578563400000195
  26. Ren, B., Wang, Y., 2005. Laboratory study of random wave slamming on a piled wharf with different shore connecting structures. Coast. Eng. 52 (5), 463-471. https://doi.org/10.1016/j.coastaleng.2005.01.001
  27. Risov, V., Voronovich, A., 2011. Numerical simulation of wave breaking. J. Phys. Oceanogr. 41 (2), 346-364. https://doi.org/10.1175/2010JPO4442.1
  28. Ru, J.M.A., Li, G.X., 2002. Breaking wave forces on vertical cylinders. J. Hydrodynamics 14 (4), 110-112.
  29. Sunamura, T., 1980. A Laboratory study of offshore transport of sediment and a model for eroding beaches. In: Proceedings of the 17th Coastal Engineering Conference. American Society of Civil Engineers, pp. 1051-1070.
  30. Stagonas, D., Muller, G., Ramachandran, K., Schimmels, S., Dane, A., 2012. Distribution of impact induced pressures at the face of uniformly sloped sea dikes: preliminary 2d experimental results. In: Proc. 33rd Conf. Coastal Engineering, Santander, Spain.
  31. Stanczak, G., 2009. Sea Dikes Breaching Initiated by Breaking Wave Impacts - Preliminary Computational Model. TU Braunschweig report number: T06-09-04.
  32. Stanivuk, T., Zore, I., Luksa, F., 2014. Calculation of the hydrodynamic loading on a vertically submerged cylinder by means of the Morison equation. In: 6th International Maritime Science Conference, pp. 45-53.
  33. Tanimoto, K., Tsuruya, K., Nakano, S., 1984. Tsunami force of Nihonkai-Chubu Earthquake in 1983 and Cause of revetment damage. In: Proceedings of the 31th Japanese Conference on Coastal Engineering. JSCE.
  34. Wienke, J., Oumeraci, H., 2005. Breaking wave impact force on a vertical and inclined slender pile-theoretical and large-scale model investigations. Coast. Eng. 52 (5), 435-462. https://doi.org/10.1016/j.coastaleng.2004.12.008
  35. Zhang, S.F., Chen, C., Zhang, Q.X., Zhang, D.M., Zhang, F., 2015. Wave loads computation for offshore floating hose based on partially immersed cylinder model of improved Morison formula. Open Petroleum Eng. J. 8 (1), 130-137. https://doi.org/10.2174/1874834101508010130
  36. Zhang, Y.P., Zhang, M.L., Hao, Z.N., Xu, Y.Y., Qiao, Y., 2014. Numerical simulation of wave transformation using spectral wave action model. Appl. Mech. Mater. 638-640, 1261-1265. https://doi.org/10.4028/www.scientific.net/AMM.638-640.1261

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