Full Text:   <1715>

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CLC number: U661.32

On-line Access: 2015-12-04

Received: 2015-01-20

Revision Accepted: 2015-08-22

Crosschecked: 2015-11-27

Cited: 0

Clicked: 3239

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Chao-bang Yao

http://orcid.org/0000-0001-9092-7659

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Journal of Zhejiang University SCIENCE A 2015 Vol.16 No.12 P.987-1000

http://doi.org/10.1631/jzus.A1500017


Modeling of fluid resonance in-between two floating structures in close proximity


Author(s):  Chao-bang Yao, Wen-cai Dong

Affiliation(s):  Department of Naval Architecture Engineering, Naval University of Engineering, Wuhan 430033, China

Corresponding email(s):   hgycb2004111@163.com, haigongdwc@163.com

Key Words:  Fluid resonance, Water wave, Boundary element method, Artificial damping forces, Sloshing mode


Chao-bang Yao, Wen-cai Dong. Modeling of fluid resonance in-between two floating structures in close proximity[J]. Journal of Zhejiang University Science A, 2015, 16(12): 987-1000.

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Abstract: 
In this study, we conducted numerical simulations of fluid resonance in-between two floating structures based on potential theory assessing the effect of fluid viscosity by including the artificial damping force. The numerical results of two adjacent Barges systems and Barge & Wigley systems were compared with experimental data of those of the viscous fluid model based on Reynolds average Navier-Stokes equations (RANSE). It can be observed that the conventional potential flow model (without artificial damping force) significantly over-estimated the wave height and forces around the resonant frequencies. Results of the present method with an appropriate damping coefficient supported the available data, confirming the importance of the viscous damping effect on strong hydrodynamic interaction between the floating structures. Furthermore, influences of lateral clearances, wave heading angles, and ships’ motions on the wave surface elevations were analyzed. Validation and application of methods to estimate the fluid resonant frequencies and modes were also conducted. Generally speaking, Molin’s simplified theory can give an accurate estimation of resonant frequencies and serve as a practical tool to analyze the fluid resonant phenomena of gaps in-between a two Barge system and Wigley & Barge system in close proximity.

The problem presented in the paper is an important issue for the hydrodynamics between two floating structures, which has been studied over 30 years, either by 2D or 3D theory, with or without speed.

近距两浮体间流体共振分析

目的:基于三维线性势流理论,通过在近距两浮体间的自由液面上引入"粘性耗散系数",建立计及粘性影响的波浪中近距两浮体水动力干扰效应分析数值计算方法,以准确分析两浮体的干扰力及浮体间液面升高;并探讨"粘性耗散系数"的确定方法、两浮体间流体共振频率及共振模式的数值计算方法。
方法:1. 通过理论分析,在三维线性势流理论基础上,引入流体"粘性耗散"(公式2、10~12、18和19)以准确模拟近距两浮体波浪中的水动力及浮体间液面抬升;2. 采用雷诺应力平均方程(RANSE)方法或试验方法确定"粘性耗散系数"(图2和3);3. 采用数值计算和理论分析的方法给出近距两浮体间的流体共振模式(图8)及共振频率估算方法(公式21~ 25)。
结论:1. 采用三维线性势流理论并引入流体"粘性耗散系数"可较为准确地计算得到近距两浮体波浪作用下的受力及浮体间液面抬升;"粘性耗散系数"可通过RANSE方法或试验方法获得;2. 相比于其它因素(浪向角等), 近距两浮体间的干扰效应受横向间距影响较大;3. 采用类似于"月池"中流体共振频率分析方法获得的共振频率计算公式可用于估算近距两浮体间的流体共振频率,同时不同共振频率时浮体间的流体共振模式得到了数值计算结果的验证。

关键词:流体共振;水波;边界元方法;人工阻尼力;晃荡模式

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Buchner, B., Dijk, A.V., Wilde, J.D., 2001. Numerical multiple-body simulation of side-by-side mooring to an FPSO. Proceedings of the 11th ISOPE, International Society of Offshore and Polar Engineering, Copertino, USA, p.343-353.

[2]Chen, X.B., 2011. Offshore hydrodynamics and applications. The IES Journal Part A: Civil & Structural Engineering, 4(3):124-142.

[3]Guevel, P., 1982. Le probleme de diffraction-radiation-Premiere partie: theoremes fondmentaux. Ecole Supérieure de Mécanique de Nantes (ENSM), University of Nantes, Nantes, France (in French).

[4]Iwata, H., Saitoh, T., Miao, G.P., 2007. Fluid resonance in narrow gaps of very large floating structure composed of rectangular modules. Proceedings of the 4th International Conference on Asia and Pacific Coasts, Beijing, China, p.815-826.

[5]Kashiwagi, M., 2007. 3-D calculation for multiple floating bodies in proximity using wave interaction theory. Proceedings of the 17th International Conference on Offshore and Polar Engineering, Lisbon, Portugal.

[6]Kashiwagi, M., Endo, K., Yamaguchi, H., 2005. Wave drift forces and moments on two ship arranged side by side in waves. Ocean Engineering, 32:529-555.

[7]Koo, B.J., Kim, M.H., 2005. Hydrodynamic interactions and relative motions of two floating platforms with mooring lines in side-by-side offloading operation. Applied Ocean Research, 30:1-16.

[8]Lewandowski, E.M., 2008. Multi-vessel seakeeping computations with linear potential theory. Ocean Engineering, 35(11-12):1121-1131.

[9]Lu, L., Teng, B., Cheng, L., et al., 2011a. Modelling of multi-bodies in close proximity under water waves-fluid resonance in narrow gaps. Science China Physics, Mechanics and Astronomy, 54(1):16-25.

[10]Lu, L., Teng, B., Sun, L., et al., 2011b. Modelling of multi-bodies in close proximity under water waves—fluid forces on floating bodies. Ocean Engineering, 38(13):1403-1416.

[11]Miao, G.P., Ishida, H., Saitoh, T., 2000. Influence of gaps between multiple floating bodies on wave forces. China Ocean Engineering, 14(4):407-422.

[12]Molin, B., 2001. On the piston and sloshing modes in moonpools. Journal of Fluid Mechanics, 430:27-50.

[13]Molin, B., Remy, F., Kimmoun, O., et al., 2002. Experimental study of the wave propagation and decay in a channel through a rigid ice-sheet. Applied Ocean Research, 24(5):247-260.

[14]Molin, B., Remy, F., Camhi A., et al., 2009. Experimental and numerical study of the gap resonances in-between two rectangular barges. 13th Congress of International Maritime Association of Mediterranean, Istanbul, Turkey.

[15]Newman, J.N., 2003. Application of Generalized Modes for the Simulation of Free Surface Patches in Multiple Body Interactions. WAMIT Consortium Report.

[16]Newman, J.N., Sclavounos, P.D., 1988. The computation of wave loads on large offshore structures. BOSS Conference, Trondheim, Norway.

[17]Pauw, W.H., Huijsmans, R.H.M., Voogt, A., 2007. Advances in the hydrodynamics of side-by-side moored vessels. Proceedings of the 26th International Conference on Offshore Mechanics and Arctic Engineering, San Diego, USA, 2007.

[18]Recktenwald, G.W., 2000. Numerical Methods with MATLAB: Implementations and Applications. Prentice-Hall, NJ.

[19]Rippol, T., 2004. Navires ‘a couples. Rapport d'essais. C04.2.013, GIS HYDRO, Océanide (in French).

[20]Saitoh, T., Miao, G.P., Ishida, H., 2006. Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure. Proceedings of the 3rd Asia-Pacific Workshop on Marine Hydrodynamics, Beijing, China, p.170-175.

[21]Sun, L., Taylor, P.H., Taylor, R.E., 2008. First and second order wave effects in narrow gaps between moored vessels. Marine Operations Specialty Symposium, Singapore.

[22]Sun, L., Taylor, R.E., Taylor, P.H., 2010. First and second order analysis of resonant waves between adjacent barges. Journal of Fluids and Structures, 26(6):954-978.

[23]Telste, J.G., Noblesse, F., 1986. Numerical evaluation of the Green function of water-wave radiation and diffraction. Journal of Ship Research, 30(2):69-84.

[24]Wang, C.Z., Wu, G.X., 2008. Analysis of second-order resonance in wave interactions with floating bodies through a finite method. Ocean Engineering, 35(8-9):717-726.

[25]Xiang, X., 2013. Maneuvering of Two Interacting Ships in Waves. PhD Thesis, Norwegian University of Science and Technology, Norwegian.

[26]Yao, C.B., Dong, W.C., 2014. A fast integration method for translating-pulsating source Green’s function in Bessho form. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(2):108-119.

[27]Zhu, R.C., Miao, G.P., You, Y.X., 2005. Influence of gaps between 3-D multiple structures on wave forces. Journal of Hydrodynamics Series B, 172:141-147.

[28]Zhu, R.C., Zhu, H.R., Miao, G.P., 2008. Influences on hydrodynamics of multiple floating structures with small gap in between. Journal of Shanghai Jiaotong University, 42(8):1238-1242 (in Chinese).

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