Citation:
Hongde Qin,Jing Shen and Xiaobo Chen.A Free Surface Frequency Domain Green Function with Viscous Dissipation and Partial Reflections from Side Walls[J].Journal of Marine Science and Application,2011,(3):259-264.[doi:10.1007/s11804-011-1067-0]
Click and Copy
A Free Surface Frequency Domain Green Function with Viscous Dissipation and Partial Reflections from Side Walls
Hongde Qin,Jing Shen and Xiaobo Chen.A Free Surface Frequency Domain Green Function with Viscous Dissipation and Partial Reflections from Side Walls[J].Journal of Marine Science and Application,2011,(3):259-264.[doi:10.1007/s11804-011-1067-0]
Info
- Title:
- A Free Surface Frequency Domain Green Function with Viscous Dissipation and Partial Reflections from Side Walls
- Author(s):
- Hongde Qin; Jing Shen and Xiaobo Chen
- Affilations:
- DOI:
- 10.1007/s11804-011-1067-0
- Abstract:
- The free-surface Green function method is widely used in solving the radiation or diffraction problems caused by a ship or ocean structure oscillating on the waves. In the context of inviscid potential flow, hydrodynamic problems such as multi-body interaction and tank side wall effect cannot be properly dealt with based on the traditional free-surface frequency domain Green function method, in which the water viscosity is omitted and the energy dissipation effect is absent. In this paper, an open-sea Green function with viscous dissipation was presented within the theory of visco-potential flow. Then the tank Green function with a partial reflection from the side walls in wave tanks was formulated as a formal sum of open-sea Green functions representing the infinite images between two parallel side walls of the source in the tank. The new far-field characteristics of the tank Green function is vitally important for improving the validity of side-wall effects evaluation, which can be used in supervising the tank model tests.
References:
Abramowitz M, Stegun IA (1964). Handbook of mathematical functions. Dover Publications, New York.
Chen Xiaobo (1994). On the side wall effects upon bodies of arbitrary geometry in wave tanks. Applied Ocean Research, 16, 337-345.
Chen Xiaobo (2004). Hydrodynamics in offshore and naval applications-Part I. Keynote Lecure at the 6th International Conference on Hydrodynamics, Perth, Australia.
Chen Xiaobo, Dias F (2010). Visco-potential flow and time-harmonic ship waves. 25th IWWWFB, Harbin, China.
Chen Xiaobo, Lu Dongqiang (2009). Time-harmonic ship waves with the effect of surface tension and fluid viscosity. 24th IWWWFB, Zelenogork, Russia.
Dias F, Dyachenko AF, Zakharov VE (2008). Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions. Physics letters, A, 372, 1297-1302.
Dutykh D, Dias F (2007). Viscous potential free-surface in a fluid layer of finite depth. C. R. Acad. Sci. Paris, Ser. I, 345, 113-118.
Evans DV (1990). The use of porous screens as wave dampers in narrow wave tanks. Journal of Engineering Mathematics, 24, 203-212.
John F (1950). On the motion of floating bodies II:simple harmonic motions. Communications on Pure and Applied Mathematics, 3, 45-101.
Kashiwagi M (1991). Radiation and diffraction forces acting on an offshore-structure model in a towing tank. International Journal of Offshore and Polar Engineering, 1(2), 101-107.
Linton CM (1993). On the free-surface Green’s function for channel problems. Applied Ocean Research, 15, 263-267.
Linton CM, Evans DV (1992). The radiation and scattering of surface waves by a vertical circular cylinder in a channel. Phil. Trans. R. Soc. Lond. A., 338, 325-357.
McIver P (1993). The wave field scattered by a vertical cylinder in narrow wave tank. Applied Ocean Research, 15, 25-37.
McIver P, Benneett GS (1993). Scattering of water waves by axisymmetric bodies in a channel. Journal of Engineering Mathematics, 27, 1-29.
Newman JN (1984). Double precision evaluation of the oscillatory source potential. Journal of Ship Research, 28(3), 151-154.
Qin Hongde, Shen Jing (2010). Green function with dissipation and side wall effect in wave tanks. 25th IWWWFB, Harbin, China.
Shen Jing, Qin Hongde (2011). Tank Green function with partial reflections from side walls. 26th IWWWFB, Athens (Greece).
Taylor RE, Hung SM (1985). Mean drift forces on an articulated column oscillating in a wave tank. Applied Ocean Research, 7(2), 66-78.
Vazquez JH, Williams AN (1994). Hydrodynamic loads on a three-dimensional body in a narrow tank. Journal of Offshore Mechanics and Arctic Engineering, 116, 117-121.
Xia Jinzhu (2002). Some insight into the Green function of the channel problem. 17th IWWWFB, Cambridge, UK.
Yeung RW, Sphaier SH (1989). Wave-interference effects on a truncated cylinder in a channel. Journal of Engineering Mathematics, 23(2), 95-117.
Memo
- Memo:
- Supported by NSFC Project (51009037) and “111” Program (B07019)
