Lattice Boltzmann Simulation for two-dimensional bacterial turbulence

Yuxian Xia, Xiang Qiu, Jianping Lou and Yuehong Qian

Physica A: Statistical Mechanics and its Applications, 2020, vol. 555, issue C

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.

Keywords: Bacterial turbulence; LBM; Statistical behaviors; Intermittency (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:555:y:2020:i:c:s0378437120301540

DOI: 10.1016/j.physa.2020.124402

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