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arXiv 0907.1179physics.flu-dyn
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螺旋和非螺旋湍流各向同性分量的间歇性

Intermittency in the isotropic component of helical and non-helical turbulent flows

L. N. Martin, P. D Mininni

摘要:

我们分析了跨越很宽雷诺数范围的湍流的各向同性分量。其目的是确定在不同的机械强迫下的流动中的标度律及其雷诺数依赖性。为此,我们应用SO(3)分解的数据来自直接数值模拟的空间分辨率范围从64^3到1024^3网格点,并研究了速度场的高阶矩的标度。对两种不同的流动进行了研究,这两种不同的流动迫使系统具有泰勒-格林涡或Arn'old-Beltrami-Childress流动。我们的结果表明,螺旋度没有显着的影响标度指数。间歇性的影响增加的雷诺数的参数范围内的研究,并大于可以预期的文献中的几个模型。最后,我们证实了以前的结果表明,使用SO(3)分解提高了收敛的标度指数。

英文摘要:

We analyze the isotropic component of turbulent flows spanning a broad range of Reynolds numbers. The aim is to identify scaling laws and their Reynolds number dependence in flows under different mechanical forcings. To this end, we applied an SO(3) decomposition to data stemming from direct numerical simulations with spatial resolutions ranging from 64^3 to 1024^3 grid points, and studied the scaling of high order moments of the velocity field. The study was carried out for two different flows obtained forcing the system with a Taylor-Green vortex or the Arn'old-Beltrami-Childress flow. Our results indicate that helicity has no significant impact on the scaling exponents. Intermittency effects increase with the Reynolds number in the range of parameters studied, and are larger than what can be expected from several models in the literature. Finally, we confirm previous results showing the use of the SO(3) decomposition improves the convergence of scaling exponents.

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