Extraction and verification of coherent structures in near-wall turbulence

doi:10.1088/1674-1056/22/7/074703

Abstract According to the characteristics of coherent structures in near-wall turbulence, an accurate extraction and verification method is developed based on wavelet transform (WT) and correlation analysis in this paper. At first, the fluid field of a turbulent boundary layer is measured precisely in a gravitational low-speed water tunnel. On the basis of the distribution of the coherent structures, velocity data of three test points are selected and analyzed, whose dimensionless heights are 20.8, 33.5, and 42.6. According to the frequency range of power spectrum density (PSD), coherent and incoherent structures are both extracted from the original signals using continuous and orthogonal wavelet transforms. To confirm the validity of the extracted signals, the probability density function (PDF) of each extracted signal is calculated. The result demonstrates that the incoherent structures obey the Gaussian distribution, while the coherent structures deviate from the Gaussian distribution. The PDFs of the coherent structures and the original signals are similar, which shows that the coherent structures make most contributions to the turbulence. For further verification, a correlation parameter between coherent and incoherent structures is defined, which evidently proves the validity of the extraction method in this paper.

Keywords: boundary layer wavelet transform power spectrum density coherent structure

Received: 29 November 2012
Revised: 17 January 2013
Accepted manuscript online:

PACS:	47.27.De	(Coherent structures)
	47.27.nb	(Boundary layer turbulence ?)
	43.60.Hj	(Time-frequency signal processing, wavelets)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51109178), the Natural Science Foundation of Shaanxi Province, China (Grant No. 2010JQ1009), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20116102120009).

Corresponding Authors: Hu Hai-Bao
E-mail: huhaibao@nwpu.edu.cn

Cite this article:

Hu Hai-Bao (胡海豹), Du Peng (杜鹏), Huang Su-He (黄苏和), Wang Ying (王鹰) Extraction and verification of coherent structures in near-wall turbulence 2013 Chin. Phys. B 22 074703

[1]	Liu J H and Jiang N 2007 Chin. Phys. Lett. 24 2617
[2]	Liu X B, Chen Z Q and Liu C Q 2010 Chin. Phys. Lett. 27 24706
[3]	Xia Z, Tian Y and Jiang N 2009 Applied Mathematics and Mechanics 30 435
[4]	Jiang N, Liu W, Li J H and Tian Y 2008 Sci. China G 38 279
[5]	Okamoto N, Yoshimatsu K, Schneider K, Farge M and Kaneda Y 2007 Phys. Fluids 19 115109
[6]	De Stefano G and Vasilyev O V 2012 J. Fluid Mech. 695 149
[7]	Futatani S, Bos W, Del-Castillo-Negrete D, Schneider K, Benkadda S and Farge M 2011 Cr. Phys. 12 123
[8]	Plata M D, Cant S and Prosser R 2012 J. Comput. Phys. 231 6754
[9]	Plata M D and Cant R S 2010 J. Comput. Phys. 229 7715
[10]	Liandrant J and Moret B F 1990 Eur. J. Mech. B Fluid. 9 1
[11]	Jiang N and Zhang J 2005 Chin. Phys. Lett. 22 1968
[12]	Liu J H, Jiang N, Wang Z D and Shu W 2005 Applied Mathematics and Mechanics 26 495
[13]	Kim Y H, Cierpka C and Wereley S T 2011 J. Fluid Mech. 669 584
[14]	Yoshimatsu K, Schneider K, Okamoto N, Kawahara Y and Farge M 2011 Phys. Plasmas 18 092304
[15]	Yao H, Sheng L F, He B and Huang J 2011 Periodical of Ocean University of China 41 7
[16]	Camussi R 2002 Exp. Fluids 32 76
[17]	Longo S 2003 Exp. Fluids 34 181
[18]	Kadoch B, Iyer K, Donzis D, Schneider K, Farge M and Yeung P K 2011 J. Turbul. 12 1
[19]	Ding G, Zhong S and Li Y 2008 Chin. Phys. B 17 1998
[20]	Han J J and Fu W J 2010 Chin. Phys. B 19 10205
[21]	Asai M, Minagawa M and Nishioka M 2002 J. Fluid Mech. 455 289
[22]	Chen L and Tang D B 2007 Transactions of Nanjing University of Aeronautics & Astronautics 24 211

[1]	Effects of single synthetic jet on turbulent boundary layer Jin-Hao Zhang(张津浩), Biao-Hui Li(李彪辉), Yu-Fei Wang(王宇飞), and Nan Jiang(姜楠). Chin. Phys. B, 2022, 31(7): 074702.
[2]	Optical wavelet-fractional squeezing combinatorial transform Cui-Hong Lv(吕翠红), Ying Cai(蔡莹), Nan Jin(晋楠), and Nan Huang(黄楠). Chin. Phys. B, 2022, 31(2): 020303.
[3]	Experimental investigation on drag reduction in a turbulent boundary layer with a submerged synthetic jet Biao-Hui Li(李彪辉), Kang-Jun Wang(王康俊), Yu-Fei Wang(王宇飞), and Nan Jiang(姜楠). Chin. Phys. B, 2022, 31(2): 024702.
[4]	Single pixel imaging based on semi-continuous wavelet transform Chao Gao(高超), Xiaoqian Wang(王晓茜), Shuang Wang(王爽), Lidan Gou(苟立丹), Yuling Feng(冯玉玲), Guangyong Jin(金光勇), and Zhihai Yao(姚治海). Chin. Phys. B, 2021, 30(7): 074201.
[5]	Improved nonlinear parabolized stability equations approach for hypersonic boundary layers Shaoxian Ma(马绍贤), Yi Duan(段毅), Zhangfeng Huang(黄章峰), and Shiyong Yao(姚世勇). Chin. Phys. B, 2021, 30(5): 054701.
[6]	Lagrangian analysis of the formation and mass transport of compressible vortex rings generated by a shock tube Haiyan Lin(林海燕), Yang Xiang(向阳, Hong Liu(刘洪), and Bin Zhang(张斌). Chin. Phys. B, 2021, 30(3): 030501.
[7]	Influence of uniform momentum zones on frictional drag within the turbulent boundary layer Kangjun Wang(王康俊) and Nan Jiang(姜楠). Chin. Phys. B, 2021, 30(3): 034703.
[8]	Effect of high-or low-speed fluctuations on the small-scale bursting events in an active control experiment Xiao-Tong Cui(崔晓通), Nan Jiang(姜楠), and Zhan-Qi Tang(唐湛棋). Chin. Phys. B, 2021, 30(1): 014702.
[9]	Two-step phase-shifting Fresnel incoherent correlation holography based on discrete wavelet transform Meng-Ting Wu(武梦婷), Yu Zhang(张雨), Ming-Yu Tang(汤明玉), Zhi-Yong Duan(段智勇), Feng-Ying Ma(马凤英), Yan-Li Du(杜艳丽), Er-Jun Liang(梁二军), and Qiao-Xia Gong(弓巧侠). Chin. Phys. B, 2020, 29(12): 124201.
[10]	Supersonic boundary layer transition induced by self-sustaining dual jets Qiang Liu(刘强), Zhenbing Luo(罗振兵), Xiong Deng(邓雄), Zhiyong Liu(刘志勇), Lin Wang(王林), Yan Zhou(周岩). Chin. Phys. B, 2020, 29(1): 014704.
[11]	Strong coupling between height of gaps and thickness of thermal boundary layer in partitioned convection system Ze-Peng Lin(林泽鹏), Yun Bao(包芸). Chin. Phys. B, 2019, 28(9): 094701.
[12]	Active control of wall-bounded turbulence for drag reduction with piezoelectric oscillators Jian-Xia Bai(白建侠), Nan Jiang(姜楠), Xiao-Bo Zheng(郑小波), Zhan-Qi Tang(唐湛琪), Kang-Jun Wang(王康俊), Xiao-Tong Cui(崔晓通). Chin. Phys. B, 2018, 27(7): 074701.
[13]	Coherent structures over riblets in turbulent boundary layer studied by combining time-resolved particle image velocimetry (TRPIV), proper orthogonal decomposition (POD), and finite-time Lyapunov exponent (FTLE) Shan Li(李山), Nan Jiang(姜楠), Shaoqiong Yang(杨绍琼), Yongxiang Huang(黄永祥), Yanhua Wu(吴彦华). Chin. Phys. B, 2018, 27(10): 104701.
[14]	Wavelet optimization for applying continuous wavelet transform to maternal electrocardiogram component enhancing Qiong Yu(于琼), Qun Guan(管群), Ping Li(李萍), Tie-Bing Liu(刘铁兵), Jun-Feng Si(司峻峰), Ying Zhao(肇莹), Hong-Xing Liu(刘红星), Yuan-Qing Wang(王元庆). Chin. Phys. B, 2017, 26(11): 118702.
[15]	Particle transport behavior in air channel flow with multi-group Lagrangian tracking Hao Lu(卢浩), Wen-Jun Zhao(赵文君), Hui-Qiang Zhang(张会强), Bing Wang(王兵), Xi-Lin Wang(王希麟). Chin. Phys. B, 2017, 26(1): 014702.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Extraction and verification of coherent structures in near-wall turbulence

Cite this article:

Online attention