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 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]
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A Free Surface Frequency Domain Green Function with Viscous Dissipation and Partial Reflections from Side Walls


A Free Surface Frequency Domain Green Function with Viscous Dissipation and Partial Reflections from Side Walls
Hongde Qin Jing Shen and Xiaobo Chen
Hongde Qin Jing Shen and Xiaobo Chen
1 College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China 2 Research Department, Bureau Veritas, 92570 Neuilly-Sur-Seine, France
Green function viscous dissipation side wall effect partial reflection
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.


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Supported by NSFC Project (51009037) and “111” Program (B07019)
Last Update: 2011-09-13