非线性波流相互作用问题的同伦近似解(徐航; 牛照; 汪淳; 廖世俊)

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非线性波流相互作用问题的同伦近似解

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DS Az2Rx0【作者】徐航; 牛照; 汪淳; 廖世俊 【作者单位】上海交通大学船舶海洋与建筑工程学院

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O#B+h:IKv:U&J{0【论文摘要】 对无限水深中两维深水波与均匀来流相互作用的问题进行了理论研究。应用同伦分析方法首次给出该问题比较精确的解析近似解,并开展了水槽试验验证了这些解析近似解的有效性。通过对该问题的研究,建立了一套求解海洋工程领域中复杂的非线性波流相互作用问题的有效解析计算方法。期待文章中所提到的分析方法能进一步应用到海洋工程领域中更加复杂的非线性波流相互作用问题,使得该方法能在海洋工程领域中发挥更大的作用,成为求解该领域中非线性问题的一个有效的分析工具。值得注意的是,本模型仅能研究二维波流相互作用的稳定状态,不适用于非稳定状态(非定常)的波流相互作用问题,如无穷远处来波遇到近岸流的变化过程。这需要我们在以后的工作中继续深入的研究探讨。

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【英文论文摘要】 The homotopy analysis method is applied in the interaction between wave and uniform current.The accurate series solutions are obtained,which agree well with the experimental results. It is expected the proposed technique can be further employed to study the nonlinear wave problems in the field of ocean engineering.水利论文H uh8R{K!PSA

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【论文关键词】 流波相互作用; 同伦分析方法; 级数解水利论文 Fmg5HjBT[#u,l
【英文论文关键词】 the interaction between wave and uniform; homotopy analysis method; series solution水利论文3`vE/s |p?\
【基金】国家自然科学基金重点项目(50739004);; 国家自然科学基金项目(50509016)资助.水利论文XRG:Aol_3d
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TAG: 徐航 牛照 同伦 廖世俊 汪淳
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