Abstract
In the present study, a numerical wave tank is developed to simulate the nonlinear wave-current interactions based on High Order Spectral (HOS) method. The influences of current on wave focusing are investigated by use of numerical model. The current is assumed to be constant in space. Focused waves with different amplitudes and frequency spectra are simulated with and without current. The focused wave characteristics, such as surface elevation, the maximum crest and frequency spectrum, with different current are compared. The results show that the opposing current increases the maximum crest and the energy transform during wave focusing process, and vice versa for the following current.
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References
Baldock, T. E. and Swan, C., 1996. Extreme waves in shallow and intermediate water depths, Coast. Eng., 27(1–2): 21–46.
Bonnefoy, F., Touzé, D. and Ferrant, P., 2004. Generation of fully-nonlinear prescribed wave fields using a high-order spectral model, Proc. 14th Int. Offshore Polar Eng. Conf., Toulon, France, 23–28.
Dommermuth, D. G. and Yue, D. K. P., 1987. A high-order spectral method for the study of nonlinear gravity waves, J. Fluid Mech., 184, 267–288.
Fochesato, C., Grilli, S. and Dias, F., 2007. Numerical modeling of extreme rogue waves generated by directional energy focusing, Wave Motion, 44(5): 395–416.
Gibson, R. S. and Swan, C., 2007. The evolution of large ocean waves: the role of local and rapid spectral changes, Proc. R. Soc. Lond., Ser. A, 463(2077): 21–48.
Johannessen, T. B. and Swan, C., 2003. On the nonlinear dynamics of wave groups produced by the focusing of surface water waves, Proc. R. Soc. Lond., Ser. A, 459(2032): 1021–1052.
Kharif, C. and Pelinovsky, E., 2003. Physical mechanisms of the rogue wave phenomenon, Eur. J. Mech. B/Fluids, 22(6): 603–634.
Lavrenov, I. V. and Porubov, A. V., 2006. Three reasons for wave generation in the non-uniform current, Eur. J. Mech. B/Fluids, 25(5): 574–585.
Li, J., Liu, S. and Hong, K., 2008. Numerical study of two-dimensional focusing waves characteristics, China Ocean Eng., 22(2): 253–266.
Liu, S. and Hong, K., 2005. Physical investigation of directional wave focusing and breaking waves in wave basin, China Ocean Eng., 19(1): 21–35.
Liu, S., Li, J. and Sun, Y., 2008. Numerical investigation of multidirectional wave focusing properties, Proc. 18th Int. Offshore Polar Eng. Conf., Vancouver, Canada, 6–11.
Lynett, P., 2002. A Multi-Layer Approach to Modeling Generation, Propagation, and Interaction of Water Waves, Ph.D. Thesis, Cornell University.
Nepf, H. M., Wu, C. H. and Chan, E. S., 1998. A comparison of two- and three-dimensional wave breaking, J. Geophys. Res., 28(7): 1496–1510.
Rapp, R. J. and Melville, W. K., 1990. Laboratory study of steep and breaking waves, Phil. Trans. R. Soc. Lond., A331, 735–780.
Wu, C. H. and Yao, A., 2004. Laboratory measurements of limiting freak waves on current, J. Geophys. Res., 109, C12002, dio:10.1029/2004JC002612.
Touboul, J., Pelinovsky, E. and Kharif, C., 2007. Nonlinear focusing wave group on current, Journal of Korean Society of Coastal and Ocean Engineering, 19(3): 222–227.
Zakharov, V. E., 1968. Stability of periodic waves of finite amplitude on the surface of a deep fluid, Journal of Applied Mechanics and Technical Physics, 9(2): 190–194. (English transl)
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This research was partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090041120023) and Open Research Fund Program of Key Laboratory of Coastal Disasters and Defence of Ministry of Education of China, and the National Natural Science Foundation of China (Grant No. 50921001).
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Li, Jx., Liu, Dy. & Liu, Sx. Numerical investigation of the effect of current on wave focusing. China Ocean Eng 26, 37–48 (2012). https://doi.org/10.1007/s13344-012-0003-7
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DOI: https://doi.org/10.1007/s13344-012-0003-7