An analytical approximation of focusing-wave-induced load on a semi-submerged cylinder

HU Zhe; ZHANG Xiaoying; LI Yan; LI Xiaowen

doi:10.1007/s13131-018-1247-8

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Article Navigation > Acta Oceanologica Sinica > 2018 > 37(7): 85-104

HU Zhe, ZHANG Xiaoying, LI Yan, LI Xiaowen. An analytical approximation of focusing-wave-induced load on a semi-submerged cylinder[J]. Acta Oceanologica Sinica, 2018, 37(7): 85-104. doi: 10.1007/s13131-018-1247-8

Citation:

HU Zhe, ZHANG Xiaoying, LI Yan, LI Xiaowen. An analytical approximation of focusing-wave-induced load on a semi-submerged cylinder[J]. Acta Oceanologica Sinica, 2018, 37(7): 85-104. doi: 10.1007/s13131-018-1247-8

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An analytical approximation of focusing-wave-induced load on a semi-submerged cylinder

doi: 10.1007/s13131-018-1247-8

Key Laboratory of Fujian Province for Ships and Ocean Engineering, Jimei University, Xiamen 361021, China;School of Marine Engineering, Jimei University, Xiamen 361021, China

Received Date: 2017-06-14

Abstract

Abstract

Owing to the complexity of the physical mechanisms of rouge waves, the theoretical study of the rogue-wave-structure interaction problems still makes little progress. However, for regular-shaped structures, it is possible to give a theoretical analysis, if a relatively simple model of the rogue waves is used. The wave load, induced by a focusing wave which is known as an intuitive basic model of the rouge waves, upon a semi-submerged cylinder is studied analytically. The focusing wave is approximate by the Gauss envelope wave, an ideal model which contains most features of the rogue wave. The diffraction velocity potential is derived through the separation of flow field, and the formulas of the horizontal force and bending moment are proposed. The derived formulas are simplified appropriately, and validated through comparison against numerical results. In addition, the influence of parameters, such as the focusing degree, the submerging depth and the wave focusing position, is thoroughly investigated.
- focusing wave,
- Gauss envelope,
- semi-submerged cylinder,
- potential theory,
- analytical solution

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References(21)

References

Chabchoub A, Akhmediev N, Hoffmann N P. 2012a. Experimental study of spatiotemporally localized surface gravity water waves. Physical Review:E, 86:016311

Chabchoub A, Hoffmann N P, Akhmediev N. 2011. Rogue wave observation in a water wave tank. Physical Review Letters, 106(20):204502

Chabchoub A, Hoffmann N, Onorato M, et al. 2012b. Observation of a hierarchy of up to fifth-order rogue waves in a water tank. Physical Review:E, 86:056601

Deng Yanfei, Yang Jianmin, Tian Xinliang, et al. 2016. Experimental investigation on rogue waves and their impacts on a vertical cylinder using the Peregrine breather model. Ships and Offshore Structures, 11(7):757-765

Gao Ningbo, Yang Jianmin, Zhao Wenhua, et al. 2016. Numerical simulation of deterministic freak wave sequences and wave-structure interaction. Ships and Offshore Structures, 11(8):802-817

He J S, Zhang H R, Wang L H, et al. 2013. Generating mechanism for higher-order rogue waves. Physical Review:E, 87:052914

Hu Zhe, Tang Wenyong, Xue Hongxiang. 2014. Time-spatial model of freak waves based on the inversion of initial disturbance. Chinese Journal of Hydrodynamics (in Chinese), 29(3):317-324

Hu Zhe, Tang Wenyong, Xue Hongxiang, et al. 2015. Numerical study of Rogue waves as nonlinear Schrödinger breather solutions under finite water depth. Wave Motion, 52:81-90

Hu Zhe, Xue Hongxiang, Tang Wenyong, et al. 2015a. Numerical study of nonlinear Peregrine breather under finite water depth. Ocean Engineering, 108:70-80

Hu Zhe, Xue Hongxiang, Tang Wenyong, et al. 2015b. A combined wave-dam-breaking model for rogue wave overtopping. Ocean Engineering, 104:77-88

Kharif C, Pelinovsky E. 2003. Physical mechanisms of the rogue wave phenomenon. European Journal of Mechanics -B/Fluids, 22(6):603-634

Kit E, Shemer L, Pelinovsky E, et al. 2000. Nonlinear wave group evolution in shallow water. Journal of Waterway, Port, Coastal and Ocean Engineering, 126(5):221-228

Qin Hao, Tang Wenyong, Xue Hongxiang, et al. 2017. Dynamic response of a horizontal plate dropping onto nonlinear freak waves using a fluid-structure interaction method. Journal of Fluids and Structures, 74:291-305

Onorato M, Proment D, Clauss G, et al. 2013. Rogue waves:from nonlinear Schrödinger breather solutions to sea-keeping test. PLoS ONE, 8(2):e54629

Osborne A R, Onorato M, Serio M. 2000. The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains. Physics Letters:A, 275(5–6):386-393

Slunyaev A, Clauss G F, Klein M, et al. 2013. Simulations and experiments of short intense envelope solitons of surface water waves. Physics of Fluids, 25:067105

Soares C G, Fonseca N, Pascoal R, et al. 2006. Analysis of wave induced loads on a FPSO accounting for abnormal waves. Journal of Offshore Mechanics and Arctic Engineering, 128(3):241-247

Sundar V, Koola P M, Schlenkhoff A U. 1999. Dynamic pressures on inclined cylinders due to freak waves. Ocean Engineering, 26(9):841-863

Weerasekara G, Maruta A. 2017. Characterization of optical rogue wave based on solitons' eigenvalues of the integrable higher-order nonlinear Schrödinger equation. Optics Communications, 382:639-645

Yu Fajun, Yan Zhenya. 2014. New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. Applied Mathematics and Computation, 233:351-358

Zakharov V E, Dyachenko A I, Prokofiev A O. 2006. Freak waves as nonlinear stage of Stokes wave modulation instability. European Journal of Mechanics-B/Fluids, 25(5):677-692

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