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arXiv 0809.1321astro-ph
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压缩驱动星际turbulence的数值模拟:I.等温气体

Numerical simulations of compressively driven interstellar turbulence: I. Isothermal gas

Wolfram Schmidt, Christoph Federrath, Markus Hupp, Sebastian Kern, Jens C. Niemeyer

摘要:

我们使用静态网格和有效分辨率为N= 768 ^[3]的自适应网格加密,对主要由压缩性大尺度强迫驱动的超音速等温湍流进行了数值模拟。在由激波主导的瞬态阶段之后,湍流发展到RMS马赫数约为2.5的稳定状态,在该稳定状态中,高密度气体的云状结构被高度稀薄的气体包围。在激波占主导地位的阶段,湍流能谱函数的指数β = 2.0。当流动接近统计平衡时,频谱发生变化,β = 1.9。对于均方根速度起伏的标度指数,我们从二阶速度结构函数得到γ = 0.43。这些结果都在分子云中速度弥散的标度特性范围内。计算p=1,...,5,我们发现所有的标度指数显着偏离Kolmogorov-Burgers模型提出的Boldyrev。我们的结果是很好地描述了一个一般的log-Poisson模型具有较高程度的不稳定性,这意味着影响的强迫的标度性质。与以往的等温湍流的数值结果相反,我们得到了一个歪斜的概率密度函数的质量密度波动,这是不符合对数正态统计,并需要一个显着更高的分数的质量在密度峰值比暗示的Padoan-Nordlund关系之间的方差的密度波动和马赫数。总之,似乎有必要解释解释ISM中湍流的产生机制。

英文摘要:

We performed numerical simulations of supersonic isothermal turbulence driven by mostly compressive large-scale forcing, using both a static grid and adaptive mesh refinement with an effective resolution N=768^3. After a transient phase dominated by shocks, turbulence evolves into a steady state with an RMS Mach number about 2.5, in which cloud-like structures of over-dense gas are surrounded by highly rarefied gas. The index of the turbulence energy spectrum function beta = 2.0 in the shock-dominated phase. As the flow approaches statistical equilibrium, the spectrum flattens, with beta = 1.9. For the scaling exponent of the root mean square velocity fluctuation, we obtain gamma = 0.43 from the velocity structure functions of second order. These results are well within the range of observed scaling properties for the velocity dispersion in molecular clouds. Calculating structure functions of order p=1,...,5, we find for all scaling exponents significant deviations from the Kolmogorov-Burgers model proposed by Boldyrev. Our results are very well described by a general log-Poisson model with a higher degree of intermittency, which implies an influence of the forcing on the scaling properties. Contrary to previous numerical results for isothermal turbulence, we obtain a skewed probability density function of the mass density fluctuations that is not consistent with log-normal statistics and entails a substantially higher fraction of mass in the density peaks than implied by the Padoan-Nordlund relation between the variance of the density fluctuations and the Mach number. In conclusion, it seems necessary to account for the production mechanism of turbulence in the ISM.

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