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arXiv 1401.8137astro-ph.SR
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对流层结引起的尺度分裂

Stratification-induced scale splitting in convection

O. V. Shcheritsa, A. V. Getling, O. S. Mazhorova

摘要:

不同尺度运动的共存是太阳对流的一个显著特征,在分析磁场动力学时应加以考虑。因此,研究太阳对流多尺度结构的成因是十分重要的。在这项研究中,试图了解对流运动的尺度是如何影响的流体层的静态温度分层的特殊性。为此,考虑简单的模型。二维热对流方程数值求解的平面水平流体层加热从下面,在一个扩展的Boussinesq近似,承认热扩散率的变化。这些变化指定层的分层。在一个薄的子层的上表面附近的层的静态温度梯度被假定为许多倍大于在该层的其余部分。在某些情况下,分布式散热器被假定为产生一个稳定的分层区域覆盖对流层。注意到尺度分裂效应的表现形式,这取决于边界条件和分层; {随着瑞利数的增加,它变得更加明显。小尺度对流单体被大尺度气流平流输送。特别是,流体粒子的相轨迹表明存在复杂的吸引子,这反映了流动的多尺度结构。还考虑了上层稳定分层对流动尺度的影响。

英文摘要:

The coexistence of motions on various scales is a remarkable feature of solar convection, which should be taken into account in analyses of the dynamics of magnetic fields. Therefore, it is important to investigate the factors responsible for the observed multiscale structure of solar convection. In this study, an attempt is made to understand how the scales of convective motions are affected by the particularities of the static temperature stratification of a fluid layer. To this end, simple models are considered. The equations of two-dimensional thermal convection are solved numerically for a plane horizontal fluid layer heated from below, in an extended Boussinesq approximation that admits thermal-diffusivity variations. These variations specify the stratification of the layer. The static temperature gradient in a thin sublayer near the upper surface of the layer is assumed to be many times larger than in the remainder of the layer. In some cases, distributed heat sinks are assumed to produce a stably stratified region overlying the convective layer. Manifestations of the scale-splitting effect are noted, which depend on the boundary conditions and stratification; {it becomes more pronounced with the increase of the Rayleigh number.} Small-scale convection cells are advected by larger-scale flows. In particular, the phase trajectories of fluid particles indicate the presence of complex attractors, which reflect the multiscale structure of the flow. The effect of the stably stratified upper sublayer on the flow scales is also considered.

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