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 引用本文: 王大国 邹志利 唐春安. 港口非线性波浪耦合计算模型研究[J]. 力学学报, 2007, 23(5): 587-594.
Daguo Wang, Zhili Zou, Chunan Tang. The coupled numerical model of non-linear wave in harbour[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(5): 587-594.
 Citation: Daguo Wang, Zhili Zou, Chunan Tang. The coupled numerical model of non-linear wave in harbour[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(5): 587-594.

## The coupled numerical model of non-linear wave in harbour

• 摘要: 建立了外域用差分法求解高阶Boussinesq方程、内域用边界元法求解Laplace方程的二维船非线性波浪力时域计算的耦合模型. 研究了该类耦合模型的匹配条件、耦合求解过程和内域、外域公共区域长度的确定. 该耦合模型计算结果与只用边界元求解Laplace方程模型的计算结果和实验结果对比表明，该耦合模型不仅计算精度高，而且计算效率快，适用于研究较大区域内波浪对物体的非线性作用.

Abstract: An accurate and efficient 2-D time-domain coupled model fornonlinear wave forces on a ship in a harbor is developed in thepresent paper. The whole domain is divided into an inner domain and an outerdomain. The inner domain is the area around the ship, where the flow isexpressed by Laplace equations. The other area is the outer domain,where theflow is expressed by Boussinesq equations. Matching conditions on theinterface boundaries between the inner domain and the outer domain are thecontinuity of volume flux and the equality of wave elevations. Theprocedure of the coupled solution and the length of the common domain arediscussed in detail. In addition, the boundary element method in complexvariables isadopted to verify the coupled model and the relevant physical experiment isconducted to validate the two numerical models. It is shown that thenumerical results agree well with experimental results, but the computationalefficiency of the boundary element method is much lower than that of thecoupled model, so the coupled model can be used for the wave motions in aharbor with large area and is especially useful for the study on the effectsof harbor boundaries and bottoms on wave forces of a ship.

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