论文标题
旋转流体湍流中的通用缩放机制
Universal scaling regimes in rotating fluid turbulence
论文作者
论文摘要
我们分析了在三个维度（3D）的强迫旋转流体中完全发育不可压缩的湍流中能量光谱的缩放特性，这些旋转流体被认为是惯性范围内通用缩放指数的特征。为了阐明缩放机制，我们为由大规模外力驱动的旋转流体进行了3D Navier-Stokes方程的缩放分析。我们使用缩放参数来提取缩放指数，这表征了能量光谱的不同缩放模式。我们推测我们的缩放理论中3D旋转湍流的二维化可能性。我们的结果可以在大规模模拟和相关实验室实验中进行测试。
We analyse the scaling properties of the energy spectra in fully developed incompressible turbulence in forced, rotating fluids in three dimensions (3D), which are believed to be characterised by universal scaling exponents in the inertial range. To elucidate the scaling regimes, we set up a scaling analysis of the 3D Navier-Stokes equation for a rotating fluid that is driven by large-scale external forces. We use scaling arguments to extract the scaling exponents, which characterise the different scaling regimes of the energy spectra. We speculate on the intriguing possibility of two-dimensionalisation of 3D rotating turbulence within our scaling theory. Our results can be tested in large scale simulations and relevant laboratory-based experiments.
