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arXiv 2008.09006astro-ph.EP
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垂直剪切失稳的高分辨率参数研究

High Resolution Parameter Study of the Vertical Shear Instability

Natascha Manger, Hubert Klahr, Wilhelm Kley, Mario Flock

摘要:

原行星盘的理论模型表明,垂直剪切不稳定性(VSI)是解释盘死区湍流的主要候选者。然而,VSI的模拟还没有显示出关键盘湍流参数的一致水平,如应力-压力比$α$。我们的目标是通过对VSI进行参数研究来调和这些不同的值,重点是磁盘密度梯度$p$和纵横比$h := H/R$。我们使用完整的2 $π$三维模拟的磁盘为选定的一组两个参数。所有模拟都是针对1000个参考轨道进行的,分辨率为每小时18个单元。我们发现,在我们的模拟中的饱和应力-压力比是依赖于磁盘的纵横比与\review{strong}缩放$α\propto h^{2.6}$,在传统的$α$模型,其中粘度缩放为$ν\propto αh^2$与恒定的$α$。我们还观察到一致的形成大尺度涡在所有的研究参数。旋涡显示出均匀的$χ\approx 10$纵横比和大约1.5 $H$的径向宽度。通过我们的研究结果,我们可以调和等温和辐射流体动力学模型中报告的应力压力比的不同值,并显示VSI的长期演化效应,这可能有助于形成星子。

英文摘要:

Theoretical models of protoplanetary disks have shown the Vertical Shear Instability (VSI) to be a prime candidate to explain turbulence in the dead zone of the disk. However, simulations of the VSI have yet to show consistent levels of key disk turbulence parameters like the stress-to-pressure ratio $α$. We aim to reconcile these different values by performing a parameter study on the VSI with focus on the disk density gradient $p$ and aspect ratio $h := H/R$. We use full 2$π$ 3D simulations of the disk for chosen set of both parameters. All simulations are evolved for 1000 reference orbits, at a resolution of 18 cells per h. We find that the saturated stress-to-pressure ratio in our simulations is dependent on the disk aspect ratio with a \review{strong} scaling of $α\propto h^{2.6}$, in contrast to the traditional $α$ model, where viscosity scales as $ν\propto αh^2$ with a constant $α$. We also observe consistent formation of large scale vortices across all investigated parameters. The vortices show uniformly aspect ratios of $χ\approx 10$ and radial widths of approximately 1.5 $H$. With our findings we can reconcile the different values reported for the stress-to-pressure ratio from both isothermal and radiation hydrodynamics models, and show long-term evolution effects of the VSI that could aide in the formation of planetesimals.

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