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首页> 外文期刊>Bulletin of the American Physical Society >APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Non-linear interactions of Rossby waves in astrophysical fluid dynamics
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APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Non-linear interactions of Rossby waves in astrophysical fluid dynamics

机译：APS-APS流体动力学分部第70届年会-事件-天体流体动力学中Rossby波的非线性相互作用

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摘要

We have obtained extended set of rotating magnetohydrodynamic shallow water equations in external magnetic field. The MHD shallow water equations are revised by supplementing them with the equations that are consequences of the magnetic field divergence-free conditions and reveal the existence of vertical component of the magnetic field in such approximation providing its relation with the horizontal magnetic field. It is shown that the presence of a vertical magnetic field significantly changes the dynamics of the wave processes in astrophysical plasma compared to the neutral fluid. We have investigated the interaction of magneto-Rossby waves in the MHD shallow water flows in external vertical magnetic field and in horizontal (toroidal and poloidal) magnetic field on a $eta $-plane. Using the asymptotic multiscale method we obtained the non-linear interaction equations for the waves amplitudes. The analysis of the amplitudes equations shows that on $eta $-plane there are two types of instabilities: one magneto-Rossby wave decays into two magneto-Rossby waves and magneto-Rossby wave amplifies in field of two magneto-Rossby waves. These instabilities occur in the external vertical magnetic field and in the horizontal magnetic field. For all types of instabilities the growth rates are found..
机译：我们获得了外部磁场中旋转磁流体动力浅水方程的扩展集。通过对MHD浅水方程式进行补充，以补充这些方程式，这些方程式是无磁场发散条件的结果，并揭示了这种磁场的垂直分量的存在，从而提供了与水平磁场的关系。结果表明，与中性流体相比，垂直磁场的存在极大地改变了天体等离子体中波过程的动力学。我们已经研究了Meta浅水流在外部垂直磁场和水平（环形和极向）磁场在$ eta $平面中的磁-罗斯波的相互作用。使用渐近多尺度方法，我们获得了波振幅的非线性相互作用方程。对振幅方程的分析表明，在$ eta $平面上，存在两种类型的不稳定性：一种磁罗兹比波衰减为两个磁罗兹比波，并且磁罗兹比波在两个磁罗兹比波的场中放大。这些不稳定性发生在外部垂直磁场和水平磁场中。对于所有类型的不稳定性，都可以找到增长率。

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