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http://dx.doi.org/10.1016/j.ijnaoe.2018.06.006

Numerical investigation on combined wave damping effect of pneumatic breakwater and submerged breakwater  

Wang, Yanxu (Engineering College, Ocean University of China)
Yin, Zegao (Engineering College, Ocean University of China)
Liu, Yong (Engineering College, Ocean University of China)
Yu, Ning (Engineering College, Ocean University of China)
Zou, Wei (Engineering College, Ocean University of China)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.11, no.1, 2019 , pp. 314-328 More about this Journal
Abstract
This paper attempts to combine the pneumatic breakwater and submerged breakwater to increase the effectiveness of wave damping for long-period waves. A series of physical experiments concerning pneumatic breakwater, submerged breakwater and their joint breakwater was conducted and used to validate a mathematical model based on Reynolds-averaged Navier-Stokes equations, the RNG $k-{\varepsilon}$ turbulence model and the VOF method. In addition, the mathematical model was used to investigate the wave transmission coefficients of three breakwaters. The nonlinear wave propagation behaviors and the energy transfer from lower frequencies to higher frequencies after the submerged breakwater were investigated in detail. Furthermore, an optimal arrangement between pneumatic breakwater and submerged breakwater was obtained for damping longer-period waves that cannot be damped effectively by the pneumatic breakwater alone. In addition, the reason for the appearance of the combination effect is that part of the energy of the transmitted waves over the submerged breakwater transfers to shorter-period waves. Finally, the impact of the joint breakwater on the wave field during wave propagation process was investigated.
Keywords
Pneumatic breakwater; Submerged breakwater; Physical experiment; Numerical simulation; Wave transmission coefficient;
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1 Jung, T.H., Cho, Y.S., 2009. Analytical approach for long wave solution to an arbitrarily varying topography. J. Coast Res. 25 (1), 216-223.   DOI
2 Jung, T.H., Suh, K.D., Lee, S.O., Cho, Y.-S., 2008. Linear wave reflection by trench with various shapes. Ocean Eng. 35 (11-12), 1226-1234.   DOI
3 Karmakar, D., Guedes Soares, C., 2014. Wave transformation due to multiple bottomstanding porous barriers. Ocean Eng. 80, 50-63.   DOI
4 Liu, Y., Li, Y.C., 2011. Wave interaction with a wave absorbing double curtain-wall breakwater. Ocean Eng. 38 (10), 1237-1245.   DOI
5 Losada, I.J., Lara, J.L., Christensen, E.D., Garcia, N., 2005. Modelling of velocity and turbulence fields around and within low-crested rubble-mound breakwaters. Coast. Eng. 52 (10), 887-913.   DOI
6 Losada, I.J., Lara, J.L., Guanche, R., Gonzalez-Ondina, J.M., 2008. Numerical analysis of wave overtopping of rubble mound breakwaters. Coast. Eng. 55 (1), 47-62.   DOI
7 Masselink, G., 1998. Field investigation of wave propagation over a bar and the consequent generation of secondary waves. Coast. Eng. 33 (1), 1-9.   DOI
8 Issa, R.I., 1986. Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 62 (1), 40-65.   DOI
9 Neelamani, S., Rajendran, R., 2002. Wave interaction with 'ㅗ'-type breakwaters. Ocean Eng. 29 (5), 561-589.   DOI
10 Ning, D., Chen, L., Zhao, M., Teng, B., 2016. Experimental and numerical investigation of the hydrodynamic characteristics of submerged breakwaters in waves. J. Coast Res. 32 (4), 80.
11 Paprota, M., 2013. Laboratory investigations of wave transmission through a submerged aerial barrier. In: Proceedings of the 6th International Short Course/Conference on Applied Coastal Research (Lisbon, Portugal).
12 Bulson, P.S., 1961. Currents produced by an air curtain in deep water. Dock Harbour Auth. 42 (487), 15-22.
13 Barth, T.J., Jespersen, D., 1989. The design and application of upwind schemes on unstructured meshes. Technical Report AIAA-89-0366. In: AIAA 27th Aerospace Sciences Meeting (Reno, Nevada), pp. 1-12.
14 Beji, S., Battjes, J.A., 1993. Experimental investigation of wave propagation over a bar. Coast. Eng. 19 (1-2), 151-162. Coast. Eng. 55, 47-62.   DOI
15 Brasher, R., 1907. Protecting Objects from Wave Action. U.S. Patent No. 843,926. U.S. Patent and Trademark Office, Washington, DC.
16 Craig, K.J., Nieuwoudt, M.N., Niemand, L.J., 2013. CFD simulation of anaerobic digester with variable sewage sludge rheology. Water Res. 47 (13), 4485-4497.   DOI
17 Carevic, D., Loncar, G., Prsic, M., 2013. Wave parameters after smooth submerged breakwater. Coast. Eng. 79, 32-41.   DOI
18 Chang, H.K., Liou, J.C., 2007. Long wave reflection from submerged trapezoidal breakwaters. Ocean Eng. 34 (1), 185-191.   DOI
19 Chen, L.F., Zang, J., Hillis, A.J., Morgan, G.C.J., Plummer, A.R., 2014. Numerical investigation of wave-structure interaction using OpenFOAM. Ocean Eng. 88, 91-109.   DOI
20 Airy, G.B., 1842. Tides and waves. Encycl. Metrop. 192, 241-396.
21 Evans, J.T., 1955. Pneumatic and similar breakwaters. Proc. R. Soc. Lond. Math. Phys. Eng. Sci. R. Soc. 231 (1187), 457-466.   DOI
22 Garcia, N., Lara, J.L., Losada, I.J., 2004. 2-D numerical analysis of near-field flow at low crested permeable breakwaters. Coast. Eng. 51 (10), 991-1020.   DOI
23 Hirt, C.W., Nichols, B.D., 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39 (1), 201-225.   DOI
24 Tanimoto, K., Takahashi, S., Kimura, K., 1987. Structures and hydraulic characteristics of breakwaters-the state of the art of breakwater design in Japan. Rep. Port Harbour Res. Inst. 26 (5), 11-55.
25 Paprota, M., Sulisz, W., 2017. Modelling of wave transmission through a pneumatic breakwater. J. Hydrodyn. 29 (2), 283-292.   DOI
26 Rambabu, A.C., Mani, J.S., 2005. Numerical prediction of performance of submerged breakwaters. Ocean Eng. 32 (10), 1235-1246.   DOI
27 Romate, J.E., 1992. Absorbing boundary conditions for free surface waves. J. Comput. Phys. 99 (1), 135-145.   DOI
28 Seabrook, S.R., Hall, K.R., 1999. Wave transmission at submerged rubblemound breakwaters. In: Proceedings of Coastal Engineering 1998, pp. 2000-2013.
29 Sheremet, A., Kaihatu, J.M., Su, S.F., Smith, E.R., Smith, J.M., 2011. Modeling of nonlinear wave propagation over fringing reefs. Coast. Eng. 58 (12), 1125-1137.   DOI
30 Taylor, G., 1955. The action of a surface current used as a breakwater. Proc. Roy. Soc. A 231, 466-478.   DOI
31 Tian, M., Sheremet, A., Kaihatu, J.M., Ma, G., 2015. On the Shoaling of solitary waves in the presence of short random waves. J. Phys. Oceanogr. 45 (3), 792-806.   DOI
32 Torres-Freyermuth, A., Losada, I.J., Lara, J.L., 2007. Modeling of surf zone processes on a natural beach using Reynolds-Averaged NaviereStokes equations. J. Geophys. Res. 112 (C9), C09014.
33 Twu, S.W., Liu, C.C., Hsu, W.H., 2001. Wave damping characteristics of deeply submerged breakwaters. J. Watarw. Port Coast. Ocean Eng. 127 (2), 97-105.   DOI
34 Wang, Y.,Wang, G., Li, G., Cheng, Y., 2004. Investigation on model law of air bubbles breakwater. In: Hydrodynamics VI: Theory and Applications: Proceedings of the 6th International Conference on Hydrodynamics (Perth, Western Australia), pp. 319-324.
35 Wu, Y.T., Hsiao, S.C., Chen, G.S., 2012. Solitary wave interaction with a submerged permeable breakwater: experiment and numerical modeling. Coast. Eng. Proc. 33 (2012), 1-14.   DOI
36 Xie, J.J., Liu, H.W., Lin, P., 2011. Analytical solution for long wave reflection by a rectangular obstacle with two scour trenches. J. Eng. Mech. 137 (12), 919-930.   DOI
37 Zhang, C.X.,Wang, Y.X., Wang, G.Y., Yu, L.M., 2010. Wave dissipating performance of air bubble breakwaters with different layouts. J. Hydrodyn. 22 (5), 671-680.   DOI
38 Zhang, N., Zhang, Q., Zou, G., Jiang, X., 2016. Estimation of the transmission coefficients of wave height and period after smooth submerged breakwater using a non-hydrostatic wave model. Ocean Eng. 122, 202-214.   DOI