Volume 7 Issue 4
Oct.  2014
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Su-xiang ZHANG, Xi LI. 2014: Design formulas of transmission coefficients for permeable breakwaters. Water Science and Engineering, 7(4): 457-467. doi: 10.3882/j.issn.1674-2370.2014.04.010
Citation: Su-xiang ZHANG, Xi LI. 2014: Design formulas of transmission coefficients for permeable breakwaters. Water Science and Engineering, 7(4): 457-467. doi: 10.3882/j.issn.1674-2370.2014.04.010

Design formulas of transmission coefficients for permeable breakwaters

doi: 10.3882/j.issn.1674-2370.2014.04.010
Funds:  This work was supported by the Key Project in the National Science and Technology Pillar Program for the Twelfth Five-Year Plan Period (Grant No. 2012BAB03B01), and the Jiangsu Provincial Post-Doctoral Support Plan (Grant No. 20100197).
More Information
  • Corresponding author: Xi LI
  • Received Date: 2013-02-15
  • Rev Recd Date: 2014-09-01
  • New empirical formulas of the transmission coefficient for permeable breakwaters were suggested based on available experimental data regarding the low-crest structure (LCS), including the permeable rubble mound breakwater and pile-type breakwater. The rationality of the present formulas was verified by their comparison with existing empirical and analytical formulas. Numerical flume results were obtained by solving the modified Boussinessq-type wave equations (MBEs), and a new expression relating the friction coefficient  to the relative submerged depth was also derived. Comparative analysis shows that the results of the present formulas agree with the numerical flume results as well as available experimental data, and the present formulas are superior to the existing empirical and analytical expressions in estimating the transmission coefficient. The present formulas can provide references for estimation of the transmission coefficient in engineering practice.

     

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  • Calabrese, M., Buccino, M., and Pasanisi, F. 2008. Wave breaking macrofeatures on a submerged rubble mound breakwater. Journal of Hydro-environment Research, 1(3-4), 216-225. [doi:10.1016/10.1016/ j.jher.2007. 11.003]
    Chen, D. C., Wang, Y. G., Li, X., Yang, Y., and Cai, H. 2008. Experimental Study of Wave Permeable Breakwater in Sansha Central Fishing Port. Nanjing: Hohai University. (In Chinese)
    Christou, M., Swan, C., and Gudmestad, O. T. 2008. The interaction of surface water waves with submerged breakwaters. Coastal Engineering, 55(12), 945-958. [doi: 10.1016/j.coastaleng.2008.02.014]
    d’Angremond, K., van der Meer, J. W., and de Jong, R. J. 1996. Wave transmission at low crested structures. Proceedings of the 25th International Conference on Coastal Engineering, 2418-2427. Florida: ASCE.
    Engelund, F. 1953. On the laminar and turbulent flows of ground water through homogeneous sand. Transactions of Danish Academy Technical Science, Vol. 3.
    Fuhrman, D. R., and Madsen, P. A. 2008. Simulation of nonlinear wave runup with a high-order Boussinesq model. Coastal Engineering, 55(2), 139-154. [doi: 10.1016/j.coastaleng.2007.09.006]
    Hur, D. S., Lee, W. D., and Cho, W. C. 2012. Characteristics of wave run-up height on a sandy beach behind dual-submerged breakwaters. Ocean Engineering, 45, 38-55. [doi: 10.1016/j.oceaneng.2012.01.030]
    Kramer, M., Zanuttigh, B., van der Meer, J. W., Vidal, C., and Gironella, F. X. 2005. Laboratory Experiments on low-crested breakwaters. Coastal Engineering, 52(10-11), 867-885. [doi:10.1016/j.coastaleng. 2005.09.002]
    Laju, K., Sundar, V., and Sundaravadivelu, R. 2011. Hydrodynamic characteristics of pile supported skirt breakwater models. Applied Ocean Research, 33(1), 12-22. [doi: 10.1016/j.apor.2010.12.004]
    Li, C. L., and Xie, Y. Y. 2008. Random wave motions around different submerged dikes. Coastal Engineering, 27(1), 1-9. (in Chinese)
    Li, X., and Yan, Y. X. 2005. Numerical simulations of nonlinear wave transformation around wave-permeable structure. Journal of Hydrodynamics, Ser. B, 17(17), 699-703.
    Luth, H. R., Klopman, Q., and Kitou, N. 1994. Kinematics of Waves Breaking Partially on an Offshore Bar. Delft: Delft Hydraulics.
    Madsen, P. A. 1983. Wave reflection from a vertical permeable wave absorber. Coastal Engineering, 7(4), 381-396. [doi: 10.1016/0378-3839(83)90005-4]
    Madsen, P. A. 1991. A new form of the Boussinesq equations with improved linear dispersion characteristics. Coastal Engineering, 15(4), 371-388. [doi: 10.1016/0378-3839(92)90019-Q]
    Melito, I., and Melby, J. A. 2002. Wave runup, transmission, and reflection for structures armored with CORE-LOC. Coastal Engineering, 45(1), 33-52. [doi: 10.1016/S0378-3839(01)00044-8]
    Ministry of Transport of People’s Republic of China (MT PRC). 2011. Code of Design and Construction of Breakwaters (JTS 154-1-2011). Beijing: China Communications Press. (in Chinese)
    Peng, Z., Zou, Q., Reeve, D. E., and Wang, P. X. 2009. Parameterisation and transformation of wave asymmetries over a low-crested breakwater. Coastal Engineering, 56(11-12), 1123-1132. [doi:10.1016/ j.coastaleng.2009.08.005]
    van der Meer, J. W., Briganti, R., Zanuttigh, B., and Wang, B. X. 2005. Wave transmission and reflection at low-crested structures: Design formulae, oblique wave attack and spectral change. Coastal Engineering 52(10-11), 915-929. [doi: 10.1016/j.coastaleng.2005.09.005]
    van der Meer, J. W., and Daemen, I. F. R. 1994. Stability and wave transmission at low crested rubble mound structures. Journal of Waterway, Port Coastal and Ocean Engineering, 120(1), 1-9. [doi:10.1061/(ASCE) 0733-950X(1994)120:1(1)]
    Wiegel, R. L. 1961. Closely spaced piles as a breakwater. Dock and Harbor Authority, 42(491), 150.
    Zanuttigh, B., Martinelli, L., and Lamberti, A. 2008. Wave overtopping and piling-up at permeable low crested structures. Coastal Engineering, 55(6), 484-498. [doi: 10.1016/j.coastaleng.2008.01.004]
    Zhang, S. X., and Li, X. 2008. Numerical simulation of nonlinear wave propagating in flume. Proceedings of Fourth International Conference on Natural Computation, 649-653. Perth: IEEE. [doi:10.1109/ICNC. 2008.854]
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