Coupling of surface and internal gravity waves: a mode coupling model

Coupling of surface and internal gravity waves: a mode coupling model
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表面重力波和内部重力波的耦合:模式耦合模型

DOI:
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发表时间:
1976
影响因子:
3.7
通讯作者:
B. Cohen
B. Cohen
中科院分区:
工程技术2区
文献类型:
--
作者:
K. Watson;Bruce J. West;B. Cohen

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本文建立了一个描述海洋线性表面波场向线性内波场能量传递的表面波/内波模式耦合模型。用作用角变量表示的动力学方程有一种特别有用的形式,可以用数值方法和一些解析近似方法求解。表面波的共振相互作用所产生的内波的增长时间计算的平衡谱的表面波和Garrett-Munk和两层模型的海底环境。我们发现能量转移率是海底参数的函数,它比Kenyon(1968)使用的基于常数Brunt-ViiisSila模型的能量转移率快得多,这与Joyce(1974)的实验是一致的。还计算了内波对表面波频谱的调制,得出了类似于从ERTS 1卫星拍摄的照片中观察到的海洋表面“斑驳”的外观(Ape 1等人,1975年b)。
A surface-wave/internal-wave mode coupled model is constructed to describe the energy transfer from a linear surface wave field on the ocean to a linear internal wave field. Expressed in terms of action-angle variables the dynamic equations have a particularly useful form and are solved both numerically and in some analytic approximations. The growth time for internal waves generated by the resonant interaction of surface waves is calculated for an equilibrium spectrum of surface waves and for both the Garrett-Munk and two-layer models of the undersea environment. We find energy transfer rates as a function of undersea parameters which are much faster than those based on the constant Brunt-ViiisSila model used by Kenyon (1968) and which are consistent with the experiments of Joyce (1974). The modulation of the surface-wave spectrum by internal waves is also calculated, yielding a ‘mottled’ appearance of the ocean surface similar to that observed in photographs taken from an ERTS1 satellite (Ape1 et al. 1975b).