Numerical study of resonance induced by wave action on multiple rectangular boxes with narrow gaps

NING Dezhi; SU Xiaojie; ZHAO Ming; TENG Bin

doi:10.1007/s13131-015-0672-1

Volume 34 Issue 5

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NING Dezhi, SU Xiaojie, ZHAO Ming, TENG Bin. Numerical study of resonance induced by wave action on multiple rectangular boxes with narrow gaps[J]. Acta Oceanologica Sinica, 2015, 34(5): 92-102. doi: 10.1007/s13131-015-0672-1

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NING Dezhi, SU Xiaojie, ZHAO Ming, TENG Bin. Numerical study of resonance induced by wave action on multiple rectangular boxes with narrow gaps[J]. Acta Oceanologica Sinica, 2015, 34(5): 92-102. doi: 10.1007/s13131-015-0672-1

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Numerical study of resonance induced by wave action on multiple rectangular boxes with narrow gaps

doi: 10.1007/s13131-015-0672-1

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2.
School of Computing, Engineering and Mathematics, University of Western Sydney, Penrith NSW 2751, Australia

Received Date: 2014-06-22
Rev Recd Date: 2015-01-07

Abstract

Abstract

By introducing a source term into the Laplace equation, a two-dimensional fully nonlinear time-domain numerical wave flume (NWF) is developed to investigate the resonance induced by the interaction between waves and multiple objects with narrow gaps. In the numerical model, the fully nonlinear kinematic and dynamic boundary conditions are satisfied on the instantaneous free surface and the constant artificial damping is employed in the gaps to approximate the viscous dissipation due to vortex motion and flow separation. The computational domain is discretized using a higher-order boundary element method (HOBEM). The proposed model is firstly validated against the published experimental data and numerical results of the wave height in the narrow gap between two boxes, the wave heights in the two gaps of three boxes, and wave loads on the boxes. Then, the extensive numerical experiments are performed to study the influences of the number of the boxes and the gap spacing on the resonant frequency, reflected and transmitted wave heights and wave loads on the boxes.
- narrow gap,
- resonance,
- higher-order boundary element,
- nonlinear numerical wave flume

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References(21)

References

Brorsen M, Larsen J. 1987. Source generation of nonlinear gravity waves with the boundary integral equation method. Coastal Engineering, 11(2): 93-113

Clément A, McCullen P, Falc.o A, et al. 2002. Wave energy in Europe: current status and perspectives. Renewable and Sustainable Energy Reviews, 6(5): 405-431

He Guanghua, Teng Bin, Li Boning, et al. 2006. Research on the hy-drodynamic influence from the gaps between three identical boxes by a scaled boundary finite element method. Journal of Hydrodynamics: Ser A (in Chinese), 21(3): 418-424

Iwata H, Saitoh T, Miao Guoping. 2007. Fluid resonance in narrow gaps of very large floating structure composed of rectangular modules. In: Proceedings of the 4th International Conference on Asian and Pacific Coasts. Beijing: China Ocean Press, 815-826

Kagemoto H, Fujino M, Murai M. 1998. Theoretical and experiment-al predictions of the hydroelastic response of a very large float-ing structure in waves. Applied Ocean Research, 20(3): 135-144

Kim Y W. 2003. Artificial damping in water wave problems: I. Con-stant damping. International Journal of Offshore and Polar En-gineering, 13(2): 88-93

Kristiansen T, Faltinsen O M. 2009. Studies on resonant water mo-tion between a ship and a fixed terminal in shallow water. Journal of Offshore Mechanics and Arctic Engineering, 131(2): 021102

Kristiansen T, Faltinsen O M. 2010. A two-dimensional numerical and experimental study of resonant coupled ship and piston-mode motion. Applied Ocean Research, 32(2): 158-176

Lu Lin, Cheng Liang, Teng Bin, et al. 2010. Numerical investigation of fluid resonance in two narrow gaps of three identical rectangu-lar structures. Applied Ocean Research, 32(2): 177-190

Lu Lin, Teng Bin, Cheng Liang, et al. 2011. Modelling of multi-bodies in close proximity under water waves-fluid resonance in nar-row gaps. Science China Physics, Mechanics and Astronomy, 54(1): 16-25

McCartney B L. 1985. Floating breakwater design. Journal of Water-way, Port, Coastal, and Ocean Engineering, 111(2): 304-318

Miao Guoping, Ishida H, Saitoh T. 2000. Influence of gaps between multiple floating bodies on wave forces. China Ocean Engin-eering, 14(4): 407-422

Miao Guoping, Saitoh T, Ishida H. 2001. Water wave interaction of twin large scale caissons with a small gap between. Coastal En-gineering Journal, 43(1): 39-58

Nijkamp P, Yim H. 2001. Critical success factors for offshore airports-a comparative evaluation. Journal of Air Transport Manage-ment, 7(3): 181-188

Ning Dingzhi, Teng Bin, Eatock Taylor R, et al. 2008. Numerical simu-lation of non-linear regular and focused waves in an infinite water-depth. Ocean Engineering, 35(8-9): 887-899

Qiu Liuchao, Liu Hua. 2006. Three-dimensional time-domain analys-is of very large floating structures subjected to unsteady extern-al loading. Journal of Offshore Mechanics and Arctic Engineer-ing, 129(1): 21-28

Saitoh T, Miao Guoping, Ishida H. 2006. Theoretical analysis on ap-pearance condition of fluid resonance in a narrow gap between two modules of very large floating structure. In: Proceedings of the 3rd Asia-Pacific Workshop on Marine Hydrodynamics. Beijing: China Ocean Press, 170-175

Tanizawa K. 1996. Long time fully nonlinear simulation of floating body motions with artificial damping zone. Journal of the Soci-ety of Naval Architects of Japan, 180: 311-319

Williams A N, Lee H S, Huang Z. 2000. Floating pontoon breakwaters. Ocean Engineering, 27(3): 221-240

Yoshimoto H, Ohmatsu S, Hoshino K, et al. 1997. Slamming load on a very large floating structure with shallow draft. Journal of Mar-ine Science and Technology, 2(3): 163-172

Zhu Hairong, Zhu Renchuan, Miao Guoping. 2008. A time domain in-vestigation on the hydrodynamic resonance phenomena of 3-D multiple floating structures. Journal of Hydrodynamics: Ser B, 20(5): 611-616

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1.	C.Z. Wang, S.H. Yang, C.J. Wang, et al. Second-order wave resonance within narrow gaps between multiple rectangular boxes in uniform currents. Ocean Engineering, 2024, 309: 118589. doi:10.1016/j.oceaneng.2024.118589
2.	Ya-qing Ran, Sheng-chao Jiang, Bao-lei Geng, et al. Hydrodynamic Behavior of Gap Resonance in Multiple-Box Systems with Sharp and Round Inlet Configurations. China Ocean Engineering, 2023, 37(5): 849. doi:10.1007/s13344-023-0071-x
3.	Shu-kai Gong, Jun-liang Gao, Hong-fei Mao. Investigations on Fluid Resonance Within A Narrow Gap Formed by Two Fixed Bodies with Varying Breadth Ratios. China Ocean Engineering, 2023, 37(6): 962. doi:10.1007/s13344-023-0080-9
4.	Jiaqi Zhou, Junsheng Ren, Weiwei Bai. Survey on hydrodynamic analysis of ship–ship interaction during the past decade. Ocean Engineering, 2023, 278: 114361. doi:10.1016/j.oceaneng.2023.114361
5.	Yunfeng Ding, Jens Honore Walther, Yanlin Shao. Higher-order gap resonance and heave response of two side-by-side barges under Stokes and cnoidal waves. Ocean Engineering, 2022, 266: 112835. doi:10.1016/j.oceaneng.2022.112835
6.	H.C. Huang, Y.F. Yang, R.H. Zhu, et al. Nonlinear wave resonance due to oscillations of twin cylinders in a uniform current. Applied Ocean Research, 2022, 121: 103096. doi:10.1016/j.apor.2022.103096
7.	Bei Chu, Xinshu Zhang, Yao Zhang. Effects of nonlinearity and viscous damping on the resonant responses in two-dimensional moonpools with a recess. Applied Ocean Research, 2022, 127: 103295. doi:10.1016/j.apor.2022.103295
8.	Peng-lin Jing, Guang-hua He, Zheng-xiao Luan, et al. Numerical study of fluid resonance of a two-dimensional heaving-free moonpool in a wide range of incident waves. Journal of Hydrodynamics, 2022, 34(4): 647. doi:10.1007/s42241-022-0054-z
9.	Yajie Li, Xikun Wang. Numerical study of effects of gap and incident wave steepness on water resonance between two rectangular barges. European Journal of Mechanics - B/Fluids, 2021, 86: 157. doi:10.1016/j.euromechflu.2020.12.001
10.	Tomoki Ikoma, Lei Tan, Satsuya Moritsu, et al. Motion characteristics of a barge-type floating vertical-axis wind turbine with moonpools. Ocean Engineering, 2021, 230: 109006. doi:10.1016/j.oceaneng.2021.109006
11.	Bei Chu, Xinshu Zhang. On the natural frequencies and modal shapes in two-dimensional moonpools with recesses in finite water depth. Applied Ocean Research, 2021, 115: 102787. doi:10.1016/j.apor.2021.102787
12.	Junliang Gao, Zhiwei He, Xianghong Huang, et al. Effects of free heave motion on wave resonance inside a narrow gap between two boxes under wave actions. Ocean Engineering, 2021, 224: 108753. doi:10.1016/j.oceaneng.2021.108753
13.	Zhi-wei He, Jun-liang Gao, Jun Zang, et al. Effects of Free Heave Motion on Wave Forces on Two Side-by-Side Boxes in Close Proximity Under Wave Actions. China Ocean Engineering, 2021, 35(4): 490. doi:10.1007/s13344-021-0045-9
14.	Junliang Gao, Hongzhou Chen, Jun Zang, et al. Numerical investigations of gap resonance excited by focused transient wave groups. Ocean Engineering, 2020, 212: 107628. doi:10.1016/j.oceaneng.2020.107628
15.	Sheng-Chao Jiang, Hao Liu, Tie-Zhi Sun, et al. Numerical simulation for hydrodynamic behavior of box-systems with and without narrow gaps. Ocean Engineering, 2020, 214: 107698. doi:10.1016/j.oceaneng.2020.107698
16.	Haocai Huang, Chizhong Wang. Finite element simulations of second order wave resonance by motions of two bodies in a steady current. Ocean Engineering, 2020, 196: 106734. doi:10.1016/j.oceaneng.2019.106734
17.	Xin Xu, Xingyu Song, Xinshu Zhang, et al. On wave diffraction of two-dimensional moonpools in a two-layer fluid with finite depth. Ocean Engineering, 2019, 173: 571. doi:10.1016/j.oceaneng.2018.12.037
18.	Junliang Gao, Jun Zang, Lifen Chen, et al. On hydrodynamic characteristics of gap resonance between two fixed bodies in close proximity. Ocean Engineering, 2019, 173: 28. doi:10.1016/j.oceaneng.2018.12.052
19.	Yajie Li. Fully nonlinear analysis of second-order gap resonance between two floating barges. Engineering Analysis with Boundary Elements, 2019, 106: 1. doi:10.1016/j.enganabound.2019.05.002
20.	Junliang Gao, Zhiwei He, Jun Zang, et al. Topographic effects on wave resonance in the narrow gap between fixed box and vertical wall. Ocean Engineering, 2019, 180: 97. doi:10.1016/j.oceaneng.2019.03.040
21.	Xinshu Zhang, Haiyang Huang, Xingyu Song. On natural frequencies and modal shapes in two-dimensional asymmetric and symmetric moonpools in finite water depth. Applied Ocean Research, 2019, 82: 117. doi:10.1016/j.apor.2018.08.014
22.	Yong Cheng, Gen Li, Chunyan Ji, et al. Numerical investigation of solitary wave slamming on an oscillating wave surge converter. Physics of Fluids, 2019, 31(3) doi:10.1063/1.5085074
23.	Dezhi Ning, Yi Zhu, Chongwei Zhang, et al. Experimental and numerical study on wave response at the gap between two barges of different draughts. Applied Ocean Research, 2018, 77: 14. doi:10.1016/j.apor.2018.05.010
24.	Dezhi Ning, Xiaojie Su, Ming Zhao. Numerical investigation of solitary wave action on two rectangular boxes with a narrow gap. Acta Oceanologica Sinica, 2016, 35(12): 89. doi:10.1007/s13131-016-0967-x
25.	Yajie Li, Chongwei Zhang. Analysis of wave resonance in gap between two heaving barges. Ocean Engineering, 2016, 117: 210. doi:10.1016/j.oceaneng.2016.03.042
26.	H. Liu, S.-C Jiang. APAC 2019. doi:10.1007/978-981-15-0291-0_86