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

doi:10.1007/s10483-016-2043-9

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

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

Long ZHU¹, Xiang QIU², Jianping LUO¹, Yulu LIU^2,3

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

收稿日期:2015-04-15 修回日期:2015-09-01 出版日期:2016-04-01 发布日期:2016-04-01
通讯作者: Xiang QIU E-mail:qiux@sit.edu.cn
基金资助:
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)

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

Long ZHU¹, Xiang QIU², Jianping LUO¹, Yulu LIU^2,3

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

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)

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号:

76F25

Long ZHU, Xiang QIU, Jianping LUO, Yulu LIU. Scale properties of turbulent transport and coherent structure in stably stratified flows[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(4): 443-458.

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)
[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)
[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)
[5] Huang, Y. X. and Schmitt, G. Analysis of experimental homogeneous turbulence time series by Hilbert-Huang transform. 18éme Congrés 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)
[7] Chandra, M. and Verma, M. K. Dynamics and symmetries of flow reversals in turbulent convection. Physical Review E, 83, 067303(2011)
[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)
[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)
[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)
[11] Matheou, G. and Chung, D. Direct numerical simulation of stratified turbulence. Physics of Fluids, 24, 091106(2012)
[12] Bartello, P. and Tobias, S. M. Sensitivity of stratified turbulence to the buoyancy Reynolds number. Journal of Fluid Mechanics, 725, 1-22(2013)
[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)
[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)
[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)
[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)
[17] Kimura, Y. and Herring, J. R. Energy spectra of stably stratified turbulence. Journal of Fluid Mechanics, 698, 19-50(2012)
[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)
[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)
[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)
[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)
[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)
[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)
[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-x
[27] Frage, M. Wavelet transform and their applications to turbulence. Annual Review of Fluid Mechanics, 232, 469-478(1992)

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

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

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	Y. ZHANG, M. VANIERSCHOT. Proper orthogonal decomposition analysis of coherent motions in a turbulent annular jet[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(9): 1297-1310.
[2]	Ziang WANG, Bin YU, Bin ZHANG, Miaosheng HE, Hong LIU. Kinematic and mixing characteristics of vortex interaction induced by a vortex generator model: a numerical study[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(3): 387-404.
[3]	Xianyang JIANG. Revisiting coherent structures in low-speed turbulent boundary layers[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(2): 261-272.
[4]	Yang SONG, Chunxiao XU, Weixi HUANG, Guixiang CUI. Optimal transient growth in turbulent pipe flow[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1057-1072.
[5]	Y. S. KIM;陈立群. Separation of closely spaced modes by combining complex envelope displacement analysis with method of generating intrinsic mode functions through filtering algorithm based on wavelet packet decomposition[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(7): 801-810.
[6]	赵勇宗智邹文楠. Numerical simulation of vortex evolution based on adaptive wavelet method[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(1): 33-44.
[7]	张解放;刘宇陆. LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(5): 549-556.
[8]	白玉川;罗纪生. THE LOSS OF STABILITY OF LAMINAR FLOW IN OPEN CHANNEL AND THE MECHANISM OF SAND RIPPLE FORMATION[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(3): 276-293.
[9]	邵雪明;林建忠;余钊圣. RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 304-311.
[10]	林建忠;石兴;余钊圣. RESEARCH ON THE EFFECT OF PARTICLE OF TWO-DIMENSIONAL SHEAR FLOW[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(8): 855-860.
[11]	余钊圣;林建忠. NUMERICAL RESEARCH ON THE COHERENT STRUCTURE IN THE VISCOELASTIC SECOND-ORDER MIXING LAYERS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 717-723.
[12]	卢志明;刘宇陆. ON THE MECHANISM OF TURBULENT COHERENT STRUCTURE (III)──A STATISTICAL AND DYNAMICALMODEL OF COHERENT STRUCTURE AND ITSHEAT TRANSFER MECHANISM[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 705-711.
[13]	姜楠;王振东;舒玮. USING WAVELET TRANSFORM TO STUDY THE LIPSCHITZ LOCAL SINGULAR EXPONENT IN WALL TURBULENCE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(10): 983-990.
[14]	刘宇陆;蔡树棠. ON THE MECHANISM OF TURBULENT COHERENT STRUCTURE(II)──A PHYSICAL MODEL OF COHERENT STRUCTURE FOR THE ROUGH BOUNDARY LAYER[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(3): 197-203.
[15]	蔡树棠;刘宇陆. ON THE MECHANISM OF TURBULENT COHERENT STRUCTURE (I)──THE PYSICAL MODEL OF THE COHERENT STRUCTURE FOR THE SMOOTH BOUNDARY LAYER[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(4): 319-323.