Similar articles

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

[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).