STRUCTURE STATISTICS OF SCALE TO SCALE ENERGY TRANSFER OF WALL TURBULENCE BASED ON LBM

Gao Quan; Qiu Xiang; Xia Yuxian; Li Jiahua; Liu Yulu

doi:10.6052/0459-1879-20-432

Volume 53 Issue 5

May 2021

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Gao Quan, Qiu Xiang, Xia Yuxian, Li Jiahua, Liu Yulu. STRUCTURE STATISTICS OF SCALE TO SCALE ENERGY TRANSFER OF WALL TURBULENCE BASED ON LBM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1257-1267. doi: 10.6052/0459-1879-20-432

Citation:

Gao Quan, Qiu Xiang, Xia Yuxian, Li Jiahua, Liu Yulu. STRUCTURE STATISTICS OF SCALE TO SCALE ENERGY TRANSFER OF WALL TURBULENCE BASED ON LBM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1257-1267. doi: 10.6052/0459-1879-20-432

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STRUCTURE STATISTICS OF SCALE TO SCALE ENERGY TRANSFER OF WALL TURBULENCE BASED ON LBM

doi: 10.6052/0459-1879-20-432

Gao Quan^*,
Qiu Xiang^{*,††,2)
,
,},
Xia Yuxian^†,
Li Jiahua^**,
Liu Yulu^†,††

^*School of Science, Shanghai Institute of Technology, Shanghai 201418, China
^†School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China
^**College of Urban Construction and Safety Engineering, Shanghai Institute of Technology, Shanghai 201418, China
^††Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China

Received Date: 2020-12-16
Publish Date: 2021-05-18

Abstract

Abstract

For the reason that the scale-to-scale energy transfer characteristics of wall bounded turbulence exhibit strong anisotropy in three dimensional physical space, understanding the spatial distribution of energy scale-to-scale transfer is of great importance for the further construction of high-fidelity anisotropic large eddy simulation models. Direct numerical simulation were performed at Reynolds number $Re_{\tau } =180$ by using lattice Boltzmann method (LBM). In comparison with the open source channel flow turbulence database, both the mean velocity and turbulent variables, such as Reynolds stress and velocity fluctuations, agree well with the results of Kim et al. (1987) and Moser et al. (2015). The ability and validity of LBM on simulating turbulent channel flow were verified. The filter-space technique is used to obtain the scale-to-scale transport of kinetic energy, and the statistical results show that the backward scatter and forward scatter contributions to the SGS dissipation were comparable. Combined with the novel structure identification method, the distribution and geometry properties of the energy flux structure is quantitatively investigated by the clustering methodology. The results show that small scale structures account for the majority in number, and the volume probability density distribution presents a -4/5 power law. The structures can further be divided into wall attached structures and wall detached structures according to their minimal distance to the wall. In spite of the relatively small number fraction, the attached structure accounts for most of volume fraction, which shows that most of the attached structures are large scale structures. Further statistics of the attached structures exhibit that the size of the structure has a certain power law relationship, indicating that the scale-to-scale energy transport structure also has the self similarity of the attached eddy hypothesis which proposed by Townsend. The forward and backward energy flux structure pairs tend to be arranged side by side along the span direction.
- channel flow,
- filter-space technique,
- scale-to-scale energy transfer,
- cluster method,
- attached-eddy hypothesis

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References(36)

References

[1]	许春晓. 壁湍流相干结构和减阻控制机理. 力学进展, 2015,45:201504 (Xu Chunxiao. Coherent structures and drag-reduction mechanism in wall turbulence. Advances in Mechanics, 2015,45:201504 (in Chinese))
[2]	杨强, 袁先旭, 陈坚强等. 不可压壁湍流中基本相干结构. 空气动力学学报, 2020,38(1):82-99 (Yang Qiang, Yuan Xianxu, Chen Jianqiang, et al. On elementary coherent structures in incompressible wall-bounded turbulence. Acta Aerodynamica Sinica, 2020,38(1):82-99 (in Chinese))
[3]	李思成, 吴迪, 崔光耀等. 低雷诺数沟槽表面湍流/非湍流界面特性的实验研究. 力学学报, 2020,52(6):1632-1644 (Li Sicheng, Wu Di, Cui Guangyao, et al. Experimental study on properties of turbulent/non-turbulent interface over riblets surfaces at low Reynolds numbers. Chinese Journal of Theoretical and Applied Mechanics, 2020,52(6):1632-1644 (in Chinese))
[4]	Bose ST, Park GI. Wall-modeled large-eddy simulation for complex turbulent flows. Annual Review of Fluid Mechanics, 2018,50:535-561
[5]	强光林, 杨易, 陈阵等. 基于车身绕流的低雷诺数湍流模型改进研究. 力学学报, 2020,52(5):1371-1382 (Qiang Guanglin, Yang Yi, Chen Zhen, et al. Research on improvements of LRN turbulence model based on flow around automobile body. Chinese Journal of Theoretical and Applied Mechanics, 2020,52(5):1371-1382 (in Chinese))
[6]	Piomelli U, Cabot WH, Moin P, et al. Subgrid-scale backscatter in turbulent and transitional flows. Physics of Fluids A, 1991, 3: 1766-177?
[7]	H?rtel C, Kleiser L, Unger F, et al. Subgrid-scale energy transfer in the near-wall region of turbulent flows. Physics of Fluids, 1994,6(9):3130-3143
[8]	Piomelli U, Yu Y, Adrian RJ. Subgrid-scale energy transfer and near-wall turbulence structure. Physics of Fluids, 1996,8(1):215-224
[9]	Lin CL. Near-grid-scale energy transfer and coherent structures in the convective planetary boundary layer. Physics of Fluids, 1999,11(11):3482-3494
[10]	Germano M, Piomelli U, Moin P, et al. A dynamic subgrid-scale eddy viscosity model. Physics of Fluids A$:$ Fluid Dynamics, 1991,3(7):1760-1765
[11]	Tian G, Xiao Z. New insight on large-eddy simulation of flow past a circular cylinder at subcritical Reynolds number 3900. AIP Advances, 2020,10(8):085321
[12]	贾宏涛, 许春晓, 崔桂香. 槽道湍流近壁区多尺度输运特性研究. 力学学报, 2007,23(2):181-187 (Jia Hongtao, Xu Chunxiao, Cui Guixiang. Multi-scale energy transfer in near-wall region of turbulent channel flow. Chinese Journal of Theoretical and Applied Mechanics, 2007,23(2):181-187 (in Chinese))
[13]	王占莹. 壁湍流多尺度能量传输与流动结构关系研究. [硕士论文]. 北京: 清华大学, 2008 (Wang Zhanying. Study on the relationship between multi-scale energy transfer and flow structure in wall turbulence. [Master Thesis]. Beijing: Tsinghua University, 2008 (in Chinese))
[14]	Natrajan VK, Christensen KT. The role of coherent structures in subgrid-scale energy transfer within the log layer of wall turbulence. Physics of Fluids, 2006,18(6):065104
[15]	Zhou Q, Huang YX, Lu ZM, et al. Scale-to-scale energy and enstrophy transport in two-dimensional Rayleigh-Taylor turbulence. Journal of Fluid Mechanics, 2016,786:294-308
[16]	Wang L, Huang YX. Intrinsic flow structure and multifractality in two-dimensional bacterial turbulence. Physical Review E, 2017,95(5):052215
[17]	王帅杰, 崔晓通, 白建侠等. 减阻工况下壁面周期扰动对湍流边界层多尺度的影响. 力学学报, 2019,51(3):767-774 (Wang Shuaijie, Cui Xiaotong, et al. The effect of periodic perturbation on multi scales in a turbulent boundary layer flow under drag reduction. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(3):767-774 (in Chinese))
[18]	Cardesa JI, Vela-Martin A, Jimenez J. The turbulent cascade in five dimensions. Science, 2017,357(6353):782-784
[19]	Kawata T, Alfredsson PH. Inverse interscale transport of the Reynolds shear stress in plane couette turbulence. Physical Review Letters, 2018,120(24):244501
[20]	Moisy F, Jiménez J. Geometry and clustering of intense structures in isotropic turbulence. Journal of Fluid Mechanics, 2004,513:111
[21]	Del álamo JC, Jimenez J, Zandonade P, et al. Self-similar vortex clusters in the turbulent logarithmic region. Journal of Fluid Mechanics, 2006,561:329-358
[22]	Lozano-Durán A, Flores O, Jiménez J. The three-dimensional structure of momentum transfer in turbulent channels. Journal of Fluid Mechanics, 2012,694:100
[23]	Hwang J, Sung HJ. Wall-attached structures of velocity fluctuations in a turbulent boundary layer. Journal of Fluid Mechanics, 2018,856:958-983
[24]	Osawa K, Jiménez J. Intense structures of different momentum fluxes in turbulent channels. Physical Review Fluids, 2018,3(8):084603
[25]	Cheng C, Li W, Lozano-Duran A, et al. Uncovering Townsend's wall-attached eddies in low-Reynolds-number wall turbulence. Journal of Fluid Mechanics, 2020,889:A29
[26]	Cheng C, LI W, Lozano-Duran A, et al. 2020. On the structure of streamwise wall-shear stress fluctuations in turbulent channel flows. Journal of Fluid Mechanics, 2020,903:A29
[27]	Yoon M, Hwang J, Yang J, et al. Wall-attached structures of streamwise velocity fluctuations in an adverse-pressure-gradient turbulent boundary layer. Journal of Fluid Mechanics, 2020,885
[28]	Dong S, Huang YX, Yuan X, et al. The coherent structure of the kinetic energy transfer in shear turbulence. Journal of Fluid Mechanics, 2020,892:A22
[29]	何雅玲, 王勇, 李庆. 格子Boltzmann 方法的理论及应用. 北京: 科学出版社, 2008: 31-55 (He Yaling, Wang Yong. Lattice Boltzmann Method: Theory and Applications. Beijing: Science Press, 2008 (in Chinese))
[30]	郭照立, 郑楚光. 格子Boltzmann方法的原理及应用. 北京: 科学出版社, 2009 (Guo Zhaoli, Zheng Chuguang. Theory and Applications of Lattice Boltzmann Method. Beijing: Science Press, 2009(in Chinese))
[31]	Guo LZ, Zheng CG, Shi BC. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method. Chinese Physics, 2002,11(4):366-374
[32]	Jiménez J, Moin P. The minimal flow unit in near-wall turbulence. Journal of Fluid Mechanics, 1991,225:213-240
[33]	Spasov M, Rempfer D, Mokhasi P. Simulation of a turbulent channel flow with an entropic Lattice Boltzmann method. International Journal for Numerical Methods in Fluids, 2009,60(11):1241-1258
[34]	Kim J, Moin P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. Journal of Fluid Mechanics, 1987,177:133-166
[35]	Lee M, Moser RD. Direct numerical simulation of turbulent channel flow up to $Re_{ au} =5200$. Journal of Fluid Mechanics, 2015,774:395-415
[36]	许丁, 陈刚, 王娴等. 基于多GPU的格子Boltzmann法对槽道湍流的直接数值模拟. 应用数学和力学, 2013,34(9):956-964 (Xu Ding, Chen Gang, Wang Xian, Li Yueming. Direct numerical simulation of the wall-bounded turbulent flow by lattice Boltzmann method based on multi-GPU. Applied Mathematics and Mechanics, 2013,34(9):956-964 (in Chinese))