环面中地转模共振的研究

Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy Pub Date : 1999-12-01 DOI:10.1016/S1287-4620(00)87510-9

Jérôme Adou

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引用次数: 3

摘要

我们表明，当(ΩR/c0)≪1，且(a/R)≪1时，空气在环面中的运动受该环面的扰动所激发的惯性振荡问题所控制，该环面以恒定的角速度Ω运动，并以2π/Ω的周期在同一位置反复出现。这种激励使其中一种惯性振荡模式进入谐振，即地转模式，当t→∞时，地转模式随时间成比例增加。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Étude de la résonance du mode géostrophique dans un tore

We show that when (ΩR/c₀) ≪ 1, and (a/R) ≪ 1, the air motion in a torus is governed by the problem of inertial oscillations in this torus excited by a perturbation on its surface, which moves with constant angular velocity Ω and gets recurrently at the same place with period 2π/Ω. This excitation makes one of the inertial oscillation modes enter in resonance, the geostrophic mode, which increases proportionally to time when t → ∞.

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Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy

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