Kamps O, Friedrich R, Grauer R
Theoretische Physik, Universität Münster, 48149 Münster, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jun;79(6 Pt 2):066301. doi: 10.1103/PhysRevE.79.066301. Epub 2009 Jun 3.
We present a formal connection between Lagrangian and Eulerian velocity increment distributions which is applicable to a wide range of turbulent systems ranging from turbulence in incompressible fluids to magnetohydrodynamic turbulence. For the case of the inverse cascade regime of two-dimensional turbulence we numerically estimate the transition probabilities involved in this connection. In this context we are able to directly identify the processes leading to strongly non-Gaussian statistics for the Lagrangian velocity increments.
我们提出了拉格朗日和欧拉速度增量分布之间的一种形式联系，它适用于从不可压缩流体中的湍流到磁流体动力学湍流等广泛的湍流系统。对于二维湍流的逆级联 regime 情况，我们通过数值方法估计了这种联系中涉及的转移概率。在这种情况下，我们能够直接识别导致拉格朗日速度增量出现强非高斯统计的过程。
