Abstract
The form of Boussinesq equation derived by Nwogu (1993) using velocity at an arbitrary distance and surface elevation as variables is used to simulate wave surface elevation changes. In the numerical experiment, water depth was divided into five layers with six layer interfaces to simulate velocity at each layer interface. Besides, a physical experiment was carried out to validate numerical model and study solitary wave propagation. “Water column collapsing” method (WCCM) was used to generate solitary wave. A series of wave gauges around an impervious breakwater were set-up in the flume to measure the solitary wave shoaling, run-up, and breaking processes. The results show that the measured data and simulated data are in good agreement. Moreover, simulated and measured surface elevations were analyzed by the wavelet transform method. It shows that different wave frequencies stratified in the wavelet amplitude spectrum. Finally, horizontal and vertical velocities of each layer interface were analyzed in the process of solitary wave propagation through submerged breakwater.
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Chen, Q., Kirby, J. T. and Dalrymple, R, A., 2000. Boussinesq modeling of wave transformation, breaking, and runup, I: 2D, J. Waterw. Port Coast. Ocean Eng., ASCE, 126(1): 48–56.
Dong, G. H., Wang, G., Ma, X. Z. and Ma, Y. C., 2010. Harbor resonance induced by subaerial landslide-generated impact waves, Ocean Eng., 37(10): 927–934.
Grilli, S. T., Subramanya, R., Svendse, I. A. and Veeramony, J., 1994. Shoaling of solitary waves on plane beaches, J. Waterw. Port Coast. Ocean Eng., ASCE, 120(6): 609–628.
Hara, M., Yasuda, T. and Sakakibara, Y., 1992. Characteristics of a solitary wave breaking caused by a submerged obstacle, Proc. 23rd Int. Conf. Coast. Eng. (ICCE), Venice, Italy.
Hsiao, S.-C. and Lin, T.-C., 2010. Tsunami-like solitary waves impinging and overtopping an impermeable seawall: Experiment and RANS modeling, Coast. Eng., 57(1): 1–18.
Kennedy, A. B., Chen, Q. and Kirby, J. T., 2000. Boussinesq modeling of wave transformation, breaking, and runup, I: 1D, J. Waterw. Port Coast. Ocean Eng., ASCE, 126(1): 39–47.
Kim, N. H. and Ko, H. S., 2008. Numerical simulation on solitary wave propagation and run-up by SPH method, KSCE J. Civil Eng., 4, 221–226.
Li, Y. and Raichlen, F., 2001. Solitary wave run-up on plane slopes, J. Waterw. Port Coast. Ocean Eng., ASCE, 127(1): 33–44.
Li, Y. and Raichlen, F., 2002. Non-breaking and breaking solitary wave run-up, J. Fluid Mech., 456, 295–318.
Massel, S. R., 2001. Wavelet analysis for processing of ocean surface wave records, Ocean Eng., 28(8): 957–987.
Nwogu, O., 1993. Alternative form of Boussinesq equations for nearshore wave propagation, J. Waterw. Port Coast. Ocean Eng., ASCE, 119(6): 618–638.
Panizzo, A., Bellotti, G. and De Girolamo, P., 2002. Application of wavelet transform analysis to landslide generated waves, Coast. Eng., 44(4): 321–338.
Penchev, V. and Shukrieva, S., 2007. Numerical simulation of waves in harbor areas — Example applications for Bulgarian Black Sea Coast, Proc. 4th Int. Conf. “Port Development and Coastal Environment”, Varna.
Synolakis, C. E., 1987. The run-up of solitary waves, J. Fluid Mech., 185, 523–545.
Wang, J., Wang, D. T., Zuo, Q. H. et al., 2011. Study on characteristic of solitary wave simulation in library, Proc. 6th Int. Conf. on Asian and Pacific (APAC2011), Hong Kong, China, 1738–1746.
Zelt, J. A., 1991. The run-up of non-breaking and breaking solitary waves, Coast. Eng., 15(3): 205–246.
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The research was supported by the foundation “China Seawall Safety Risk Zoning and Storm Surge Envelope Diagram” (Grant No. 200101061) by the Ministry of Water Resources, China.
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Wang, J., Zuo, Qh., Wang, Dt. et al. Solitary wave propagation influenced by submerged breakwater. China Ocean Eng 27, 593–604 (2013). https://doi.org/10.1007/s13344-013-0050-8
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DOI: https://doi.org/10.1007/s13344-013-0050-8