Nonlinear Simulation of Focused Wave Group Action on a Truncated Surface-Piercing Structure

Abstract

In this study, we numerically investigated the nonlinear focused wave group action on a truncated surface-piercing structure, and developed a two-dimensional fully nonlinear numerical tank using the higher-order boundary element method. We determined the amplitude of the wave components of the focused wave group based on the JONSWAP wave spectrum. We discuss the effects of the presence of a surface-piercing structure on the characteristics of the focused wave group and find that the location of the structure does not evidently change the focal location or focal time of the focused wave group. The largest amplitudes of the run-up and horizontal force on the structure occur when the front surface of the structure is at the focal location. The critical draught and breadth of the structure occur when the wave run-up reaches its maximum along the structure.

Keywords

Focused wave / Fully nonlinear / Numerical wave tank / Floating body / Boundary element method

References

[1] Bai W, Taylor RE. Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition. Appl Ocean Res, 2007, 29(1–2): 55-71

[2] Baldock TE, Swan C, Taylor PH. A laboratory study of nonlinear surface waves on water. Philosophical Transactions: Mathematical, Physical Engineering Sci, 1996, 354(1707): 649-676

[3] Bihs H, Chella MA, Kamath A, Arntsen ØA. Numerical investigation of focused waves and their interaction with a vertical cylinder using REEF3D. J Offshore Mechanics Arctic Engineering, 2017, 139(4): 041101

[4] Bona JL, Saut JC. Dispersive blowup of solutions of generalized Korteweg-de Vries equations. J Differential Equations, 1993, 103(1): 3-57

[5] Chen LF, Zang J, Hillis AJ, Morgan GCJ, Plummer AR. Numerical investigation of wave–structure interaction using OpenFOAM. Ocean Eng, 2014, 88(5): 91-109

[6] Goda Y. A comparative review on the functional forms of directional wave spectrum. Coastal Engineering J, 1999, 41(01): 9900002

[7] Johannessen TB, Swan C. Nonlinear transient water waves—part I. A numerical method of computation with comparisons to 2-D laboratory data. Appl Ocean Res, 1997, 19(5–6): 293-308

[8] Koo WC, Kim MH. Fully nonlinear wave-body interactions with surface-piercing bodies. Ocean Eng, 2007, 34(7): 1000-1012

[9] Li Y, Lin M. Regular and irregular wave impacts on floating body. Ocean Eng, 2012, 42(1): 93-101

[10] Li JX, Liu SX, Hong K. Numerical study of two-dimensional focusing waves. China Ocean Engineering, 2008, 22(2): 253-266

[11] Li X, Zhang C, Ning DZ, Peng S. Nonlinear numerical study of non-periodic waves acting on a vertical cliff. Chinese J Theoretical Appl Mechanics, 2017, 49(5): 1042-1049 (in Chinese)

[12] Liu SX, Li JX, Hong K. Experimental study on multi-directional focused wave breaking in wave basin. J Hydrodyn, 2007, 22(03): 293-304 in Chinese)

[13] Mori N, Yasuda T. Effects of high-order nonlinear interactions on unidirectional wave trains. Ocean Eng, 2002, 29(10): 1233-1245

[14] Ning DZ, Zang J, Liu SX, Taylor RE, Teng B, Taylor PH. Free-surface evolution and wave kinematics for nonlinear uni-directional focused wave groups. Ocean Eng, 2009, 36(15–16): 1226-1243

[15] Ning Dezhi, Wang Rongquan, Chen Lifen, Li Jinxuan, Zang Jun, Cheng Liang, Liu Shuxue. Extreme wave run-up and pressure on a vertical seawall. Applied Ocean Research, 2017, 67: 188-200

[16] Paulsen Bo Terp, Bredmose Henrik, Bingham Harry B. An efficient domain decomposition strategy for wave loads on surface piercing circular cylinders. Coastal Engineering, 2014, 86: 57-76

[17] Pelinovsky E, Talipova T, Kurkin A, Kharif C. Nonlinear mechanism of tsunami wave generation by atmospheric disturbances. Natural Hazards Earth System Sci, 2001, 1(4): 243-250

[18] Schäffer HA. Second-order wavemaker theory for irregular waves. Ocean Eng, 1996, 23(1): 47-88

[19] She K, Created CA, Easson WJ. Experimental study of three-dimensional breaking wave kinematics. Appl Ocean Res, 1997, 19(5–6): 329-343

[20] Slunyaev A, Kharif C, Pelinovsky E, Talipova T. Nonlinear wave focusing on water of finite depth. Physica D: Nonlinear Phenomena, 2002, 173(1–2): 77-96

[21] Turnbull MS, Borthwick AGL, Taylor RE. Numerical wave tank based on a σ-transformed finite element inviscid flow solver. Int J Numer Methods Fluids, 2003, 42(6): 641-663

[22] Wang CZ, Wu GX. An unstructured-mesh-based finite element simulation of wave interactions with non-wall-sided bodies. J Fluids Structures, 2006, 22(4): 441-461

[23] Westphalen J, Greaves DM, Williams CJK, Hunt-Raby AC, Zang J. Focused waves and wave–structure interaction in a numerical wave tank. Ocean Eng, 2012, 45(5): 9-21

[24] Wu CH, Nepf HM (2002). Breaking criteria and energy losses for three-dimensional wave breaking. Journal of Geophysical Research Oceans, 107 (C10), 41–41–41-18 DOI:https://doi.org/10.1029/2001JC001077

[25] Xiao X, Teng B, Gou Y, Ning DZ. Transient response of TLP under freak waves. Port Waterway Engineering, 2009, 5: 9-14 (in Chinese)