Stokes波高阶谐波系数递推的数值计算* |
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引用本文: | 宋涛,李家春.Stokes波高阶谐波系数递推的数值计算*[J].应用数学和力学,1988,9(7):577-592. |
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作者姓名: | 宋涛 李家春 |
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作者单位: | 中国科学院力学研究所 |
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摘 要: | 本文用W.H.Hui提出的方法,在半物理平面内重新表述了Stokes波的数学模型和边界条件,提出了两种更有效的数值计算方法来获得Stokes波高阶谐波系数,并可递推至无穷.通过小参数转换,重新得到了Cokelet(1977)的波速和半波高的摄动展开式.
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收稿时间: | 1987-06-10 |
Numerical Calculation For The Coefficients of Stokes Harmonic Waves of High Order |
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Institution: | Institute of Mechanics, Chinese Academy of Sciences, Beijing |
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Abstract: | This paper has reformulated the mathematical model and boundary conditions in the semi-physical plan (x,ψ)by using W.H.Hui's method and suggested two new ways of numerical calculation for the coefficients of Stokes harmonic waves of high order. By transforming the perturbation parameter into a new one, we refind Cokelet's results (1977) of phase speed and semi-waveheight expressions. |
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