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arXiv 1202.1970physics.flu-dyn
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轴对称均匀turbulence中统计与动力学的关系

Relating statistics to dynamics in axisymmetric homogeneous turbulence

Fabien S. Godeferd

摘要:

均匀湍流的结构和动力学被体积力的存在所改变,使得科里奥利力或浮力,这可以使大范围的湍流尺度各向异性。在物理空间中使用结构函数以及在光谱空间中使用两点相关性的光谱来进行这种效应的相应统计表征,提供了两种互补的观点。在这个框架中,二阶和三阶结构函数与两点二阶和三阶速度关联函数的谱并行,使用通道关系。这种关系适用于各向同性的情况下,或各向同性的平均统计,然而,这并不反映实际的更复杂的结构的各向异性湍流提交旋转或分层。这种复杂性证明在本文中的取向依赖的能量和能量转移谱在这两种情况下产生的轴对称湍流的两点统计模型的装置。我们表明,到目前为止,各向异性的形式主义中使用的频谱传输统计是特别适合于分析各向异性均匀湍流的精细动力学,它可以帮助分析各向同性计算的三阶结构函数统计经常用于表征各向异性的背景。

英文摘要:

The structure and the dynamics of homogeneous turbulence are modified by the presence of body forces such that the Coriolis or the buoyancy forces, which may render a wide range of turbulence scales anisotropic. The corresponding statistical characterization of such effects is done in physical space using structure functions, as well as in spectral space with spectra of two-point correlations, providing two complementary viewpoints. In this framework, second-order and third-order structure functions are put in parallel with spectra of two-point second- and third-order velocity correlation functions, using passage relations. Such relations apply in the isotropic case, or for isotropically averaged statistics, which, however, do not reflect the actual more complex structure of anisotropic turbulence submitted to rotation or stratification. This complexity is demonstrated in this paper by orientation-dependent energy and energy transfer spectra produced in both cases by means of a two-point statistical model for axisymmetric turbulence. We show that, to date, the anisotropic formalism used in the spectral transfer statistics is especially well-suited to analyze the refined dynamics of anisotropic homogeneous turbulence, and that it can help in the analysis of isotropically computed third-order structure function statistics often used to characterize anisotropic contexts.

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