Scale properties of turbulent transport and coherent structure in stably stratified flows
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  • 作者:Long Zhu ; Xiang Qiu ; Jianping Luo ; Yulu Liu
  • 关键词:stratified turbulence ; coherent structure ; counter ; gradient transport (CGT) ; empirical mode decomposition (EMD)
  • 刊名:Applied Mathematics and Mechanics
  • 出版年:2016
  • 出版时间:April 2016
  • 年:2016
  • 卷:37
  • 期:4
  • 页码:443-458
  • 全文大小:1,910 KB
  • 参考文献:[1]Jiang, J. B., Liu, Y. L., and Lu, Z. M. Experimental and theoretical studies on negative transport phenomena in turbulent flows. Advances in Mechnics, 30(2), 1–8 (2000)
    [2]Kolmogorov, A. N. The local structure of turbulence in an incompressible viscous fluid for very large Reynolds numbers. Proceedings of the Royal Society of London, 434, 9–13 (1991)MathSciNet CrossRef MATH
    [3]Eskinazi, S. and Yeh, H. An investigation of fully developed turbulent flows in a curved channel. Journal of the Aeronaut Sciences, 23, 23–31 (1956)CrossRef MATH
    [4]Komori, S., Ueda, H., Ogino, F., and Mizushina, T. Turbulence structure in stably stratified open-channel flow. Journal of Fluid Mechanics, 130, 13–26 (1983)CrossRef
    [5]Huang, Y. X. and Schmitt, G. Analysis of experimental homogeneous turbulence time series by Hilbert-Huang transform. 18ème Congrès Francais de Mécanique, 18, 27–31 (2007)
    [6]Lohse, D. and Xia, K. Q. Small-scale properties of turbulent Rayleigh-Benard convection. Annual Review of Fluid Mechanics, 42, 335–364 (2010)CrossRef MATH
    [7]Chandra, M. and Verma, M. K. Dynamics and symmetries of flow reversals in turbulent convection. Physical Review E, 83, 067303 (2011)CrossRef
    [8]Demars, B. O. L. and Manson, J. R. Temperature dependence of stream aeration coefficients and the effect of water turbulence: a critical review. Water Research, 47, 1–5 (2013)CrossRef
    [9]Keller, K. H. and Atta, C. W. V. An experimental investigation of the vertical temperature structure of homogeneous stratified shear turbulence. Journal of Fluid Mechanics, 425, 1–29 (2000)CrossRef MATH
    [10]Gerz, T., Schumann, U., and Elghorashi, S. E. Direct numerical simulation of stratified homogenous turbulent shear flows. Journal of Fluid Mechanics, 200, 563–594 (1989)CrossRef MATH
    [11]Matheou, G. and Chung, D. Direct numerical simulation of stratified turbulence. Physics of Fluids, 24, 091106 (2012)CrossRef MATH
    [12]Bartello, P. and Tobias, S. M. Sensitivity of stratified turbulence to the buoyancy Reynolds number. Journal of Fluid Mechanics, 725, 1–22 (2013)MathSciNet CrossRef MATH
    [13]Kumar, R. and Dewan, A. URANS computations with buoyancy corrected turbulence models for turbulent thermal plume. International Journal of Heat and Mass Transfer, 72, 680–689 (2014)CrossRef
    [14]Van Hooff, T., Blocken, B., Gousseau, P., and van Heijst, G. J. F. Counter-gradient diffusion in a slot-ventilated enclosure assessed by LES and RANS. Computers and Fluids, 96, 63–75 (2014)CrossRef
    [15]Fincham, A. M., Maxworthy, T., and Spedding, G. R. Energy dissipation and vortex structure in freely decaying, stratified grid turbulence. Dynamics of Atmospheres and Oceans, 23, 155–169 (1996)CrossRef
    [16]Riley, J. J., Metcalfe, R. W., and Weissman, M. A. Direct numerical simulations of homogeneous turbulence in density stratied fluids. AIP Conference Proceedings, 76, 79–112 (1981)CrossRef
    [17]Kimura, Y. and Herring, J. R. Energy spectra of stably stratified turbulence. Journal of Fluid Mechanics, 698, 19–50 (2012)MathSciNet CrossRef MATH
    [18]Jiang, J. B., Qiu, X., and Lu, Z. M. Orthogonal wavelet analysis of counter gradient transport phenomena in turbulent asymmetric channel flow. Acta Mechanica Sinica, 21(2), 133–141 (2005)CrossRef MATH
    [19]Plata, M., Cant, S., and Prosser, R. On the use of biorthogonal interpolating wavelets for largeeddy simulation of turbulence. Journal of Computational Physics, 231(20), 6754–6769 (2012)MathSciNet CrossRef MATH
    [20]Lam, K. M. Application of POD analysis to concentration field of a jet flow. Journal of Hydroenvironment Research, 7(2), 171–181 (2013)
    [21]Aranyi, P., Janiga, G., Zahringer, K., and Thevenin, D. Analysis of different POD methods for PIV-measurements in complex unsteady flows. Journal of Heat and Fluid Flow, 43, 204–211 (2013)CrossRef
    [22]Huang, N. E., Shen, Z., and Long, S. R. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society A, 454, 903–995 (1998)MathSciNet CrossRef MATH
    [23]Huang, N. E., Shen, Z., and Long, S. R. A new view of nonlinear water waves: the Hilbert spectrum. Annual Review of Fluid Mechanics, 31, 417–437 (1999)MathSciNet CrossRef
    [24]Huang, Y. X., Schmitt, F. G., Lu, Z. M., and Liu, Y. L. An amplitude-frequency study of turbulent scaling intermittency using empirical mode decomposition and Hilbert spectral analysis. Europhysics Letters, 84, 1–10 (2008)
    [25]Qiu, X., Zhang, D. X., and Lu, Z. M. Turbulent mixing and evolution in a stably stratified flow with a temperature step. Journal of Hydrodynamics, 21(1), 84–92 (2009)CrossRef
    [26]Qiu, X., Huang, Y. X., and Lu, Z. M. Large eddy simulation of turbulent statistical and transport properties in stably stratified flows. Applied Mathematics and Mechanics (English Edition), 30(2), 153–162 (2009) DOI 10.1007/s10483-009-0203-xCrossRef MATH
    [27]Frage, M. Wavelet transform and their applications to turbulence. Annual Review of Fluid Mechanics, 232, 469–478 (1992)
  • 作者单位:Long Zhu (1)
    Xiang Qiu (2)
    Jianping Luo (1)
    Yulu Liu (1) (3)

    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
  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Applications of Mathematics
    Mechanics
    Mathematical Modeling and IndustrialMathematics
    Chinese Library of Science
  • 出版者:Shanghai University, in co-publication with Springer
  • ISSN:1573-2754
文摘
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.

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