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Lattice Boltzmann Simulation for two-dimensional bacterial turbulence

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  • 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
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    References listed on IDEAS

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    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.
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