通用游泳者模型的普适标度律
Universal Scaling Laws for a Generic Swimmer Model
AI总结：
本文提出基于力偶极子和力矩偶极子的无变形游泳者最小模型，通过三维Navier-Stokes数值模拟与标度论证获得从Stokes流到湍流的普适标度律，并验证其与多种微生物实验数据吻合，可用于大规模鱼群集体效应模拟。
摘要：
我们基于力偶极子和力矩偶极子建立了一个无身体变形的游泳者最小模型，该模型能够进行精确的三维Navier-Stokes计算。我们的模型可以在大范围Reynolds数下重现游泳者的推进过程，并在惯性区产生尾涡，这些尾涡使人联想到真实鱼类拍动尾部所产生的流动。我们对模型从低Reynolds数到高Reynolds数进行了数值探索，并利用标度论证获得了普适定律。我们收集了来自多种微生物的数据，从而扩展了（M. Gazzola et al., Nature Physics 10, 758, 2014）中给出的实验数据。我们的理论标度律在从Stokes流到湍流的不同区域中都与实验数据非常吻合。我们相信，由于该模型设计相对简单，它对于获得由数百个个体组成的鱼群内部集体效应的数值模拟将非常有用。
英文摘要：
We have developed a minimal model of a swimmer without body deformation based on force and torque dipoles which allows accurate 3D Navier-Stokes calculations. Our model can reproduce swimmer propulsion for a large range of Reynolds numbers, and generate wake vortices in the inertial regime, reminiscent of the flow generated by the flapping tails of real fish. We performed a numerical exploration of the model from low to high Reynolds numbers and obtained universal laws using scaling arguments. We collected data from a wide variety of micro-organisms, thereby extending the experimental data presented in (M. Gazzola et al., Nature Physics 10, 758, 2014). Our theoretical scaling laws compare very well with experimental data across the different regimes, from Stokes to turbulent flows. We believe that this model, due to its relatively simple design, will be very useful for obtaining numerical simulations of collective effects within fish schools composed of hundreds of individuals.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
