The dynamics of the subinertial response when a typhoon propagates over the ocean with a sloping bottom topography is investigated by carrying out a set of idealized numerical experiments. At least two different topographic Rossby waves (TRWs) are identified at the same along-slope wavenumber and two different subinertial frequencies in the wavenumber–frequency spectra. The diagnostics of vorticity balance demonstrates that the bottom pressure torque plays an important role in both the generation and propagation of TRWs. Two sets of sensitivity experiments show that the spatial structure of the typhoon is a “decisive” parameter in determining the along-slope wavenumber as well as the corresponding frequencies; the along-slope wavenumber of a TRW is first determined as a response to the typhoon-induced perturbation, and the corresponding frequencies are then determined so as to satisfy the theoretical TRW dispersion relationship. The amplitude of TRWs, in contrast, are controlled by both the typhoon radius as well as the typhoon traveling speed. For typhoons with a large radius or slow traveling speed, the resulting TRWs can be comparable to or more energetic than the near-inertial waves. This indicates that the TRWs might play an important role in inducing the near-bottom mixing along the shelf slope by using energy supplied from typhoon winds.

中文翻译：

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台风在具有大陆架斜坡的海洋上传播所产生的地形罗斯比波的诊断和能量学

通过进行一组理想化的数值实验，研究了台风在具有倾斜底部地形的海洋上传播时的亚惯性响应动力学。至少两个不同的地形罗斯比波 (TRW) 在相同的沿斜率波数和波数 - 频谱中的两个不同次惯性频率处被识别。涡度平衡的诊断​​表明，底部压力扭矩在 TRW 的产生和传播中都起着重要作用。两组灵敏度实验表明，台风的空间结构是确定沿坡波数及其对应频率的“决定性”参数；TRW 的沿斜率波数首先被确定为对台风引起的扰动的响应，然后确定相应的频率以满足理论TRW色散关系。相反，TRW 的幅度受台风半径和台风行进速度的控制。对于半径较大或行进速度较慢的台风，由此产生的 TRW 可与近惯性波相媲美或更具能量。这表明 TRW 可能在利用台风风提供的能量诱导沿陆架斜坡的近底混合方面发挥重要作用。由此产生的 TRW 可以与近惯性波相媲美或比其能量更高。这表明 TRW 可能在利用台风风提供的能量诱导沿陆架斜坡的近底混合方面发挥重要作用。由此产生的 TRW 可以与近惯性波相媲美或比其能量更高。这表明 TRW 可能在利用台风风提供的能量诱导沿陆架斜坡的近底混合方面发挥重要作用。