A multifractal model for linking Lagrangian and Eulerian velocity structure functions

作     者：Yu-Feng Dong Guo-Dong Jin 

作者机构：LNM Institute of MechanicsChinese Academy of Sciences 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2014年第30卷第4期

页      面：480-484页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(11072247,11021262,and 11232011) National Natural Science Associate Foundation of China(NSAF)(U1230126) 973 program of China(2013CB834100) 

主　　题：Lagrangian multifractal   Eulerian multifractal  Intermittency . Velocity structure functions 

摘      要：A multifractal model is developed to connect the Lagrangian multifractal dimensions with their Eulerian counterparts. We propose that the characteristic time scale of a Lagrangian quantity should be the Lagrangian time scale, and it should not be the Eulerian time scale which was widely used in previous studies on Lagrangian statistics. Using the present model, we can obtain the scaling exponents of Lagrangian velocity structure functions from the existing data or models of scaling exponents of Eulerian velocity structure functions. This model is validated by comparing its prediction with the results of experiments, direct numerical simulations, and the previous theoretical models. The comparison shows that the proposed model can better predict the scaling exponents of Lagrangian velocity structure functions, especially for orders larger than 6.