Abstract

The problem of the generation of internal gravity waves (IGWs) by a localized source of perturbations is considered. An oscillating source is located in the ocean with arbitrary depth distributions of the buoyancy frequency and background shear current. Integral representations of solutions are obtained under the Miles–Howard stability condition. To solve the spectral problem, a numerical algorithm is proposed for calculating the main dispersion relations, which determine the phase characteristics of the generated waves. For the characteristic distributions of the buoyancy frequency and background shear flows observed in the ocean, the results of numerical calculations of dispersion curves and phase patterns of wave fields are presented. The transformation of the phase patterns of IGW fields is studied numerically for various generation parameters.

中文翻译：

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来自海洋中振荡源的内部重力波

摘要

考虑了局部扰动源产生内部重力波 (IGW) 的问题。振荡源位于海洋中，浮力频率和背景剪切流具有任意深度分布。在 Miles-Howard 稳定性条件下获得解的积分表示。为了解决频谱问题，提出了一种计算主要色散关系的数值算法，该关系决定了生成波的相位特性。针对海洋中观测到的浮力频率和背景切变流的特征分布，给出了频散曲线和波场相位模式的数值计算结果。针对不同的发电参数，对 IGW 场的相位模式的转换进行了数值研究。