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arXiv 0806.3751astro-phphysics.flu-dyn
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来自强制turbulence模拟的λ效应

Lambda-effect from forced turbulence simulations

P. J. Käpylä, A. Brandenburg

摘要:

目的:我们确定的组件的$Λ$效果张量,量化的贡献,即使是均匀旋转的湍流动量输运。研究方法:利用三维数值模拟方法研究了旋转和各向异性强迫作用下三重周期立方体中的湍流输运。通过所谓的最小τ近似得到的分析结果进行比较。结果:在垂直方向湍流强度占主导地位的情况下,垂直应力始终为负。这种情况预计将发生在恒星对流区。应力的水平分量较弱,并在纬度30度处显示出最大值-无论旋转有多快。最小τ近似捕获了数值结果的许多定性特征,只要弛豫时间τ接近于周转时间,即Strouhal数是单位阶。

英文摘要:

Aims: We determine the components of the $Λ$-effect tensor that quantifies the contributions to the turbulent momentum transport even for uniform rotation. Methods: Three-dimensional numerical simulations are used to study turbulent transport in triply periodic cubes under the influence of rotation and anisotropic forcing. Comparison is made with analytical results obtained via the so-called minimal tau-approximation. Results: In the case where the turbulence intensity in the vertical direction dominates, the vertical stress is always negative. This situation is expected to occur in stellar convection zones. The horizontal component of the stress is weaker and exhibits a maximum at latitude 30 degrees - regardless of how rapid the rotation is. The minimal tau-approximation captures many of the qualitative features of the numerical results, provided the relaxation time tau is close to the turnover time, i.e. the Strouhal number is of order unity.

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