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arXiv 0807.2716astro-ph
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恒星深层大气中的有效湍流可压缩对流

Efficient Turbulent Compressible Convection in the Deep Stellar Atmosphere

Chun-Lin Tian, Li-Cai Deng, Kwing-Lam Chan, Da-Run Xiong

摘要:

本文报道气体动力学BGK格式在恒星内部湍流可压缩对流计算中的应用。在将亚网格尺度湍流模型(SGS)引入BGK方案后,我们测试了数值参数对初始重力分层的恒星大气中热力学变量之间的定量关系、涨落和相关性的影响。比较表明,热性能和动力性能分别由数值模型的不同方面决定。SGS模型$c_μ=0.25$中的可调Deardorff常数和气体动力学BGK方案$C_2=0$中的人工粘度幅度适合于当前的研究。我们还计算了Xiong(\cite{xiong77})湍流恒星对流理论中的密度加权自相关函数和互相关联函数,并在此基础上对非定域输运的梯度型模型和湍流的各向异性进行了初步研究。这些模型没有普遍的关系或常数参数。

英文摘要:

This paper reports an application of gas-kinetic BGK scheme to the computation of turbulent compressible convection in the stellar interior. After incorporating the Sub-grid Scale (SGS) turbulence model into the BGK scheme, we tested the effects of numerical parameters on the quantitative relationships among the thermodynamic variables, their fluctuations and correlations in a very deep, initially gravity-stratified stellar atmosphere. Comparison indicates that the thermal properties and dynamic properties are dominated by different aspects of numerical models separately. An adjustable Deardorff constant in the SGS model $c_μ=0.25$ and an amplitude of artificial viscosity in the gas-kinetic BGK scheme $C_2=0$ are appropriate for current study. We also calculated the density-weighted auto- and cross-correlation functions in Xiong's (\cite{xiong77}) turbulent stellar convection theories based on which the gradient type of models of the non-local transport and the anisotropy of the turbulence are preliminarily studied. No universal relations or constant parameters were found for these models.

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