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arXiv 1904.03069cond-mat.softcond-mat.stat-mechphysics.flu-dyn
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三维有源turbulence的粒子分辨格子Boltzmann模拟

Particle-resolved lattice Boltzmann simulations of 3-dimensional active turbulence

Dora Bardfalvy, Henrik Nordanger, Cesare Nardini, Alexander Morozov, Joakim Stenhammar

摘要:

悬浮液中的微型游泳者的集体行为往往是由长期的流体动力学相互作用的影响。这些现象包括主动湍流,其中足够密度的推进细菌悬浮液表现出大规模的混沌流动。为了研究这种集体现象,我们使用大规模(高达$N=3\times 10^6$)的粒子分辨晶格玻尔兹曼模拟模型microsomymer描述的扩展应力。这样的系统尺寸使我们能够获得定量信息的过渡到活跃的湍流和湍流状态本身的特征。在稀释极限,我们测试分析预测的静态和动态特性对我们的模拟结果。对于较高的游泳者密度,游泳者-游泳者的相互作用变得显着,我们数值计算表明,湍流的长度和时间尺度急剧增加附近的预测有限系统的过渡密度。

英文摘要:

Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit large-scale, chaotic flows. To study this collective phenomenon, we use large-scale (up to $N=3\times 10^6$) particle-resolved lattice Boltzmann simulations of model microswimmers described by extended stresslets. Such system sizes enable us to obtain quantitative information about both the transition to active turbulence and characteristic features of the turbulent state itself. In the dilute limit, we test analytical predictions for a number of static and dynamic properties against our simulation results. For higher swimmer densities, where swimmer-swimmer interactions become significant, we numerically show that the length- and timescales of the turbulent flows increase steeply near the predicted finite-system transition density.

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