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arXiv 2102.03571physics.flu-dyn

简单的集群游动者通过流体动力学相互作用产生二维稳定的自组织

Two-dimensionally stable self-organization arises in simple schooling swimmers through hydrodynamic interactions

Pedro Costa Ormonde, Melike Kurt, Amin Mivehchi, Keith W. Moored

AI总结:

通过水翼实验与模拟,发现并排阵型存在由后缘涡机制维持的二维超稳定平衡,且能显著提升游动效率与推力,揭示了流体介导平衡在集群控制中的作用。

摘要:

我们提出了一对在最小化鱼群中相互作用的俯仰水翼的新的约束和自由游动实验与模拟。水翼具有反相同步,并且在二维相互作用平面内通过串联、交错和并排阵型进行变化。我们发现,并排阵型存在一个二维稳定平衡点。事实上,这种阵型是超稳定的,这意味着即使在外部扰动下,流体动力也会被动地维持这种阵型,且整个鱼群没有净力作用导致其向一侧或另一侧漂移。此外,先前发现的由尾涡相互作用驱动的一维稳定平衡,实际上被证明是二维不稳定的,至少对于反相同步是如此。另外,我们发现后缘涡机制提供了恢复力以稳定并排阵型。该稳定平衡进一步通过存在动态反冲运动的自由游动水翼的实验和模拟得到了验证。在受约束时,紧凑并排阵型中的游动者经历了高达40%和100%的集体效率和推力提升,而稍微交错的阵型输出了更高的84%效率提升和87%的推力提升。稳定并排阵型中的自由游动水翼分别表现出高达9%和15%的效率和速度提升。这些新发现的集群性能和稳定性特征表明,流体介导的平衡可能在集群鱼类和仿鱼机器人的控制策略中发挥作用。

英文摘要:

We present new constrained and free-swimming experiments and simulations of a pair of pitching hydrofoils interacting in a minimal school. The hydrofoils have an out-of-phase synchronization and they are varied through in-line, staggered, and side-by-side formations within the two-dimensional interaction plane. It is discovered that there is a \textit{two-dimensionally} stable equilibrium point for a side-by-side formation. In fact, this formation is super-stable, meaning that hydrodynamic forces will passively maintain this formation even under external perturbations and the school as a whole has no net forces acting on it that cause it to drift to one side or the other. Moreover, previously discovered \textit{one-dimensionally} stable equilibria driven by wake vortex interactions are shown to be, in fact, two-dimensionally \textit{unstable}, at least for an out-of-phase synchronization. Additionally, it is discovered that a trailing-edge vortex mechanism provides the restorative force to stabilize a side-by-side formation. The stable equilibrium is further verified by experiments and simulations for freely-swimming foils where dynamic recoil motions are present. When constrained, swimmers in compact side-by-side formations experience collective efficiency and thrust increases up to 40\% and 100\%, respectively, whereas slightly staggered formations output an even higher efficiency improvement of 84\% with a 87\% increase in thrust. Freely-swimming foils in a stable side-by-side formation show an efficiency and speed enhancement of up to 9\% and 15\%, respectively. These newfound schooling performance and stability characteristics suggest that fluid-mediated equilibria may play a role in the control strategies of schooling fish and fish-inspired robots.

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