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Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows

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Abstract

The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation-time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high-order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investigated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This validation provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows.

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Acknowledgements

Simulations were run on the super-computer of Tianhe-1A at the National Supercomputer Center in Tianjin, China.

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Authors and Affiliations

  1. Stake Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Guodong Jin, Shizhao Wang, Yun Wang & Guowei He

  2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing, 100049, China

    Guodong Jin, Shizhao Wang, Yun Wang & Guowei He

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  1. Guodong Jin
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  2. Shizhao Wang
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  3. Yun Wang
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  4. Guowei He
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Correspondence to Guowei He.

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Citation: Jin, G. D., Wang, S. Z., Wang, Y., and He, G. W. Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows. Applied Mathematics and Mechanics (English Edition), 39(1), 21–30 (2018) https://doi.org/10.1007/s10483-018-2254-9

Project supported by the Science Challenge Program (No. TZ2016001), the National Natural Science Foundation of China (Nos. 11472277, 11572331, 11232011, and 11772337), the Strategic Priority Research Program, Chinese Academy of Sciences (CAS) (No. XDB22040104), the Key Research Program of Frontier Sciences, CAS (No. QYZDJ-SSW-SYS002), and the National Basic Research Program of China (973 Program) (No. 2013CB834100)

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Jin, G., Wang, S., Wang, Y. et al. Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows. Appl. Math. Mech.-Engl. Ed. 39, 21–30 (2018). https://doi.org/10.1007/s10483-018-2254-9

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  • DOI: https://doi.org/10.1007/s10483-018-2254-9

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