Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (4): 443-458.doi: https://doi.org/10.1007/s10483-016-2043-9

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Scale properties of turbulent transport and coherent structure in stably stratified flows

Long ZHU1, Xiang QIU2, Jianping LUO1, Yulu LIU2,3   

  1. 1. School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China;
    2. School of Science, Shanghai Institute of Technology, Shanghai 201418, China;
    3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2015-04-15 Revised:2015-09-01 Online:2016-04-01 Published:2016-04-01
  • Contact: Xiang QIU E-mail:qiux@sit.edu.cn
  • Supported by:

     Project supported by the National Natural Science Foundation of China (Nos. 11102114, 11172179, 11332006, and 11572203) and the Innovation Program of Shanghai Municipal Education Commission (No. 13YZ124)

Abstract:

The empirical mode decomposition (EMD) is used to study the scale properties of turbulent transport and coherent structures based on velocity and temperature time series in stably stratified turbulence. The analysis is focused on the scale properties of intermittency and coherent structures in different modes and the contributions of energy-contained coherent structures to turbulent scalar counter-gradient transport (CGT). It is inferred that the velocity intermittency is scattered to more modes with the development of the stratified flow, and the intermittency is enhanced by the vertical stratification, especially in small scales. The anisotropy of the field is presented due to different time scales of coherent structures of streamwise and vertical velocities. There is global counter-gradient heat transport close to the turbulence-generated grid, and there is local counter-gradient heat transport at certain modes in different positions. Coherent structures play a principal role in the turbulent vertical transport of temperature.

Key words: stratified turbulence, counter-gradient transport (CGT), coherent structure, empirical mode decomposition (EMD)

2010 MSC Number: 

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