Stokes波高阶谐波系数递推的数值计算<sup>*</sup>

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Stokes波高阶谐波系数递推的数值计算^*

基金项目: * 国家自然科学基金

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.

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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