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Numerical and semi-analytic core mass distributions in supersonic isothermal turbulence

机译:超音速中的数值和半解析核心质量分布   等温湍流

摘要

We investigate the influence of the turbulence forcing on the massdistributions of gravitationally unstable cores by postprocessing data fromsimulations of non-selfgravitating isothermal supersonic turbulence withvarying resolution. In one set of simulations solenoidal forcing is applied,while the second set uses purely compressive forcing to excite turbulentmotions. From the resulting density field, we compute the mass distribution ofgravitationally unstable cores by means of a clump-finding algorithm. Using thetime-averaged probability density functions of the mass density, semi-analyticmass distributions are calculated from analytical theories. We apply stabilitycriteria that are based on the Bonnor-Ebert mass resulting from the thermalpressure and from the sum of thermal and turbulent pressure. Although there areuncertainties in the application of the clump-finding algorithm, we findsystematic differences in the mass distributions obtained from solenoidal andcompressive forcing. Compressive forcing produces a shallower slope in thehigh-mass power-law regime compared to solenoidal forcing. The massdistributions also depend on the Jeans length resulting from the choice of themass in the computational box, which is freely scalable for non-selfgravitatingisothermal turbulence. Provided that all cores are numerically resolved andmost cores are small compared to the length scale of the forcing, thenormalised core mass distributions are found to be close to the semi-analyticmodels. Especially for the high-mass tails, the Hennebelle-Chabrier theoryimplies that the additional support due to turbulent pressure is important.
机译:我们通过对具有不同分辨率的非自重等温超音速湍流的模拟进行后处理数据,研究了湍流强迫对重力不稳定岩心质量分布的影响。在一组模拟中,应用了电磁强迫,而第二组模拟中则使用了纯粹的压缩强迫来激发湍流运动。从所得的密度场中,我们通过丛集查找算法计算重力不稳定岩心的质量分布。使用质量密度的时间平均概率密度函数,根据分析理论计算半解析质量分布。我们采用基于Bonnor-Ebert质量的稳定性标准,该质量由热压以及热压和湍流压之和得出。尽管丛集查找算法的应用存在不确定性,但我们发现从螺线管和压缩力获得的质量分布存在系统差异。与电磁强迫相比,压缩强迫在高质量幂律条件下产生的斜度更浅。质量分布还取决于在计算框中选择质量产生的Jeans长度,该长度可自由缩放以适应非自重等温湍流。假设所有岩心都是数值解析的,并且与强迫的长度尺度相比,大多数岩心较小,则发现归一化的岩心质量分布接近于半解析模型。尤其对于高质量的尾巴,亨内贝尔·夏布里埃(Hennebelle-Chabrier)理论认为,湍流压力带来的额外支撑非常重要。

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