论文标题

由热对流驱动的三合会共鸣

Triadic resonances driven by thermal convection in a rotating sphere

论文作者

Lin, Yufeng

论文摘要

我们首次在旋转对流系统中首次报道了三合会的共振。使用直接的数值模拟,我们发现旋转球体流体中的对流模式可以激发一对惯性模式,其频率和波数与三合会共振条件相匹配。根据对流模式的结构,三合会的共振可以导致一对具有较低频率和波数的模式的增长,或者具有较高频率和波数的一对模式,为双向能级数提供了可能的机制。增加的热强迫会导致完全发育的湍流,这也表现出波浪状的运动,并让人联想到惯性波湍流的能量光谱。我们的结果表明,惯性波的相互作用在旋转对流中起着重要作用,这对于理解行星和恒星内饰的动态非常重要。

We report for the first time on triadic resonances in a rotating convection system. Using direct numerical simulations, we find that convective modes in a rotating spherical fluid can excite a pair of inertial modes whose frequencies and wavenumbers match the triadic resonance conditions. Depending on the structures of the convective modes, triadic resonances can lead to the growth of either a pair of modes with lower frequencies and wavenumbers, or a pair of modes with higher frequencies and wavenumbers, providing a possible mechanism for the bi-directional energy cascade. Increased thermal forcing leads to fully developed turbulence, which also exhibits wave-like motions, and is reminiscent of the energy spectrum of inertial wave turbulence. Our results suggest that the interaction of inertial waves plays an important role in rotating convection, which is of great importance in understanding the dynamics of planetary and stellar interiors.

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