论文标题
GSF不稳定性:一般纬度的非线性模拟
Angular momentum transport, layering, and zonal jet formation by the GSF instability: nonlinear simulations at a general latitude
论文作者
论文摘要
我们继续研究差异旋转辐射区域中Goldreich-Schubert-Fricke(GSF)不稳定性的非线性演变。这种不稳定性可能是在恒星和巨型行星中运输角动量的关键人物,但其非线性进化仍未探索。在上一篇论文中,我们考虑了赤道的不稳定性,而在这里我们首次以一般纬度模拟不稳定性。在大多数模拟中,我们在改良的剪切盒中采用当地的笛卡尔boussinesq模型,但是我们还使用无压力,坚不可摧的径向边界进行了一些模拟。在研究其非线性进化之前,我们首先重新审视线性不稳定性并得出一些新结果。与赤道的行为相比,发现不稳定性的行为差异很大。特别是,在这里,我们观察到强层射流的发展(在角动量中“分层”),这可以大大增强角动量转运,尤其是在轴对称模拟中。通常,喷气机相对于局部重力的倾斜度最初与线性模式的角度相对应,但随着时间的流逝而演变并取决于流动强度。与赤道相比,不稳定性更有效地运输角动量(数量级数),我们估计GSF的不稳定性可能有助于红色巨型和亚巨星所需的缺失角动量传输。它还可以在太阳速 /太阳能赛和热木星大气动态的长期演变中发挥作用。
We continue our investigation into the nonlinear evolution of the Goldreich-Schubert-Fricke (GSF) instability in differentially rotating radiation zones. This instability may be a key player in transporting angular momentum in stars and giant planets, but its nonlinear evolution remains mostly unexplored. In a previous paper we considered the equatorial instability, whereas here we simulate the instability at a general latitude for the first time. We adopt a local Cartesian Boussinesq model in a modified shearing box for most of our simulations, but we also perform some simulations with stress-free, impenetrable, radial boundaries. We first revisit the linear instability and derive some new results, before studying its nonlinear evolution. The instability is found to behave very differently compared with its behaviour at the equator. In particular, here we observe the development of strong zonal jets ("layering" in the angular momentum), which can considerably enhance angular momentum transport, particularly in axisymmetric simulations. The jets are, in general, tilted with respect to the local gravity by an angle that corresponds initially with that of the linear modes, but which evolves with time and depends on the strength of the flow. The instability transports angular momentum much more efficiently (by several orders of magnitude) than it does at the equator, and we estimate that the GSF instability could contribute to the missing angular momentum transport required in both red giant and subgiant stars. It could also play a role in the long-term evolution of the solar tachocline and the atmospheric dynamics of hot Jupiters.