系泊船非线性波浪力时域计算: 二维模型
Time stepping solutions of nonlinear wave forces on moored ship in harbor
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摘要: 为找到具有工程实用价值的港口系泊船波浪力的时域计算方法,建立了在港口中存在系泊船时非线性波浪力时域计算的垂直二维耦合模型:用Boussinesq方程计算船的两侧的外域,用欧拉方程计算船底面下的内域,两域在交界面处的连接条件是流量连续和压力相等.将复平面内的边界元方法应用于所研究问题,对耦合模型进行了验证.进行了相关模型实验,实验结果与数值计算结果比较表明这两种数值计算模型都具有满意的精度,但耦合模型的计算效率要远远高于边界元方法的计算效率.本耦合模型的数学处理简单,可适用于工程计算.
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关键词:
- Boussinesq方程 /
- 欧拉方程 /
- 耦合模型 /
- 边界元方法
Abstract: A two-dimensional time-domain coupled numerical model is developed in order to obtain efficient method for nonlinear wave forces acted on moored ship in harbor.The fluid domain is divided into an inner domain and an outer domain.The inner domain is the area under the ship section, which is governed by Euler equations.The outer domain is the area outside the two sides of ship hull, which is governed by Boussinesq equations.Matching conditions on the interface boundaries between the inner domain and the outer domain are the continuation of volume flux and the equality of pressures.In addition, the boundary element method in complex is adopted to verify the coupled model.Relevant physical experiment is conducted to validate the two numerical models, and it is shown that the numerical results agree with experimental results, but the computational efficiency of the boundary element method is much lower than that of the coupled model.In addition, the numerical computations of the coupled model are simple, which can be used to compute the nonlinear wave forces acted on moored ship in harbor.-
Key words:
- Boussinesq equations /
- Euler equations /
- coupled model /
- boundary element method
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