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.
An accurate and efficient 2-D time-domain coupled model for nonlinear wave forces on a ship in a harbor is developed in the present paper.The whole domain is divided into an inner domain and an outer domain.The inner domain is the area around the ship,where the flow is expressed by Laplace equations.The other area is the outer domain,where the flow is expressed by Boussinesq equations.Matching conditions on the interface boundaries between the inner domain and the outer domain are the continuity of volume flux and the equality of wave elevations.The procedure of the coupled solution and the length of the common domain are discussed in detail.In addition,the boundary element method in complex variables is adopted to verify the coupled model and the relevant physical experiment is conducted to validate the two numerical models.It is shown that the numerical results agree well with experimental results,but the computational efficiency of the boundary element method is much lower than that of the coupled model,so the coupled model can be used for the wave motions in a harbor with large area and is especially useful for the study on the effects of harbor boundaries and bottoms on wave forces of a ship.
出处
《力学学报》
EI
CSCD
北大核心
2007年第5期587-594,共8页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(59979002)
长江学者和创新团队发展基金
香港研究资助局基金(HKU7171/06E)
辽宁省教育厅项目(2005058)资助.
