Nonlinear Kelvin and continental-shelf waves
Nonlinear Kelvin and continental-shelf waves
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非线性开尔文波和大陆架波
DOI：
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发表时间：
1972
影响因子：
3.7
通讯作者：
Ronald Smith
中科院分区：
文献类型：
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作者：
Ronald Smith
推导了开尔文波和大陆架波沿直线海岸线变化的方程。假设非线性和色散的影响在由方程 ε2 = f2=L2/gH 定义的小参数 ε 中具有相同的量级，其中 f 是科里奥利参数，L 是陆架宽度，H 是陆架以外的水深。开尔文波满足科特韦格-德弗里斯方程，而大陆架波满足密切相关的方程。推导了完全发展的非线性开尔文波最大波高沿实际海岸线变化的近似规则。
Equations are derived for the variation along a straight coastline of Kelvin and continental-shelf waves. It is assumed that the effects of nonlinearity and dispersion are of the same order in a small parameter ε defined by the equation ε2 = f2=L2/gH, in which f is the Coriolis parameter, L the shelf width and H the water depth beyond the shelf. Kelvin waves are found to satisfy the Korteweg–de Vries equation, while continental-shelf waves satisfy a closely related equation. An approximate rule is derived for the variation along a real coastline of the maximum wave height for fully developed nonlinear Kelvin waves.