IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v555y2020ics0378437120301540.html
   My bibliography  Save this article

Lattice Boltzmann Simulation for two-dimensional bacterial turbulence

Author

Listed:
  • Xia, Yuxian
  • Qiu, Xiang
  • Lou, Jianping
  • Qian, Yuehong

Abstract

The minimal numerical simulation of two-dimensional bacterial turbulence is investigated by using the Lattice Boltzmann method (LBM). The dynamic behavior of incompressible 2D meso-scale turbulence is described by Toner–Tu theory and the Swift–Hohenberg-type fourth-order term. The double scaling of energy spectrum is obtained. At larger scale, the scaling behaviors of energy spectrum E(k)∼k5∕3. The energy spectrum E(k)∼k−8∕3 at smaller scale, which is corresponding to experiment and simulation results. The collection behavior of self-organized pattern is described. By a coarse-graining approach, the energy cascades to large scale and the enstrophy cascades to small scale at l<3R. The intermittency exists in two scaling region of energy spectrum. The measured scaling exponents ζ(p) are determined by a lognormal formula. The measured intermittency parameter is μ=0.26 which denotes the more intermittency in small scale range of 2D meso-scale turbulence.

Suggested Citation

  • Xia, Yuxian & Qiu, Xiang & Lou, Jianping & Qian, Yuehong, 2020. "Lattice Boltzmann Simulation for two-dimensional bacterial turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
  • Handle: RePEc:eee:phsmap:v:555:y:2020:i:c:s0378437120301540
    DOI: 10.1016/j.physa.2020.124402
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437120301540
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2020.124402?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Muyi & Huang, Yongxiang, 2014. "Hilbert–Huang Transform based multifractal analysis of China stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 222-229.
    2. Amin Doostmohammadi & Tyler N. Shendruk & Kristian Thijssen & Julia M. Yeomans, 2017. "Onset of meso-scale turbulence in active nematics," Nature Communications, Nature, vol. 8(1), pages 1-7, August.
    3. Chong Chen & Song Liu & Xia-qing Shi & Hugues Chaté & Yilin Wu, 2017. "Weak synchronization and large-scale collective oscillation in dense bacterial suspensions," Nature, Nature, vol. 542(7640), pages 210-214, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Su, Yan, 2024. "A mesoscale non-dimensional lattice Boltzmann model for self-sustained structures of swimming microbial suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tian, Hu & Zheng, Xiaolong & Zeng, Daniel Danjun, 2019. "Analyzing the dynamic sectoral influence in Chinese and American stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Wang, Haoyu & Di, Junpeng & Yang, Zhaojun & Han, Qing, 2020. "Assessment of mutual fund performance based on Ensemble Empirical Mode Decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    3. Chakrabarty, Anindya & De, Anupam & Gunasekaran, Angappa & Dubey, Rameshwar, 2015. "Investment horizon heterogeneity and wavelet: Overview and further research directions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 45-61.
    4. Xu, Mengjia & Shang, Pengjian & Lin, Aijing, 2016. "Cross-correlation analysis of stock markets using EMD and EEMD," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 82-90.
    5. Li, Wang & Dai, Haifeng & Zhao, Lingzhi & Zhao, Donghua & Sun, Yongzheng, 2023. "Noise-induced consensus of leader-following multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 1-11.
    6. Ramón Egea Pérez & Mónica Cortés-Molina & Francisco J. Navarro-González, 2021. "Analysis of Rainfall Time Series with Application to Calculation of Return Periods," Sustainability, MDPI, vol. 13(14), pages 1-18, July.
    7. Li, Ming & Zhang, Peidong & Leng, Jianxing, 2016. "Improving autocorrelation regression for the Hurst parameter estimation of long-range dependent time series based on golden section search," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 189-199.
    8. Ftiti, Zied & Hadhri, Sinda, 2019. "Can economic policy uncertainty, oil prices, and investor sentiment predict Islamic stock returns? A multi-scale perspective," Pacific-Basin Finance Journal, Elsevier, vol. 53(C), pages 40-55.
    9. Stephen Williams & Raphaël Jeanneret & Idan Tuval & Marco Polin, 2022. "Confinement-induced accumulation and de-mixing of microscopic active-passive mixtures," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    10. Teagan E. Bate & Megan E. Varney & Ezra H. Taylor & Joshua H. Dickie & Chih-Che Chueh & Michael M. Norton & Kun-Ta Wu, 2022. "Self-mixing in microtubule-kinesin active fluid from nonuniform to uniform distribution of activity," Nature Communications, Nature, vol. 13(1), pages 1-14, December.
    11. Cantisán, Julia & Seoane, Jesús M. & Sanjuán, Miguel A.F., 2023. "Rotating cluster formations emerge in an ensemble of active particles," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    12. Yin, Xiangxin & Dai, Haifeng & Zhao, Lingzhi & Zhao, Donghua & Xiao, Rui & Sun, Yongzheng, 2024. "Control costs of long-range interacting multi-agent systems with noise perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    13. Anindya Chakrabarty & Anupam De & Gautam Bandyopadhyay, 2016. "Horizon heterogeneity, institutional constraint and managerial myopia: a multi-frequency perspective on ELSS," International Journal of Business Excellence, Inderscience Enterprises Ltd, vol. 9(1), pages 18-47.
    14. Chengzhao, Zhang & Heping, Pan & Yu, Ma & Xun, Huang, 2019. "Analysis of Asia Pacific stock markets with a novel multiscale model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:555:y:2020:i:c:s0378437120301540. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.