Abstract—

Free internal waves in a two-dimensional vertically inhomogeneous stratified flow are considered in the Boussinesq approximation with account of the Earth’s rotation. The equation for the amplitude of the vertical velocity of a fixed mode of internal waves has complex coefficients; therefore, the eigenfunction and the wave frequency are complex. The imaginary part of frequency is small and can be both positive and negative. For this reason, both weak damping and weak strengthening of the wave are possible depending on the wavenumber and the mode number. The vertical wave momentum fluxes are nonzero and can be greater than the corresponding turbulent fluxes.

中文翻译：

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二维流动中内波引起的垂直动量传递

摘要——

考虑到地球自转，在 Boussinesq 近似中考虑了二维垂直非均匀分层流中的自由内波。固定模式内波垂直速度幅值方程有复数系数；因此，本征函数和波频率是复数。频率的虚部很小，可以为正也可以为负。因此，根据波数和模式数，波的弱阻尼和弱增强都是可能的。垂直波动量通量不为零，并且可以大于相应的湍流通量。