Chevillard L, Mazellier N, Poulain C, Gagne Y, Baudet C
Laboratoire des Ecoulements Géophysiques et Industriels, BP53, 38000 Grenoble, France.
Phys Rev Lett. 2005 Nov 11;95(20):200203. doi: 10.1103/PhysRevLett.95.200203.
We perform a statistical analysis of experimental fully developed turbulence longitudinal velocity data in the Fourier space. We address the controversial issue of statistical intermittency of spatial Fourier modes by acting on the finite spectral resolution. We derive a link between velocity structure functions and the flatness of Fourier modes thanks to cascade models. Similar statistical behaviors are recovered in the analysis of spatial Fourier modes of vorticity obtained in an acoustic scattering experiment. We conclude that vorticity is long-range correlated and found more intermittent than longitudinal velocity.
我们在傅里叶空间中对实验得到的充分发展湍流纵向速度数据进行了统计分析。通过考虑有限谱分辨率，我们解决了空间傅里叶模式统计间歇性这一有争议的问题。借助级联模型，我们推导了速度结构函数与傅里叶模式平坦度之间的联系。在对声学散射实验中获得的涡度空间傅里叶模式的分析中，也发现了类似的统计行为。我们得出结论，涡度具有长程相关性，并且比纵向速度更具间歇性。
