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首页> 外文期刊>Journal of Fluid Mechanics >Transport of inertial particles by Lagrangian coherent structures: application to predator-prey interaction in jellyfish feeding
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Transport of inertial particles by Lagrangian coherent structures: application to predator-prey interaction in jellyfish feeding

机译:拉格朗日相干结构传输惯性粒子:在水母喂养中捕食者与食饵相互作用中的应用

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摘要

We use a dynamical systems approach to identify coherent structures from often chaotic motions of inertial particles in open flows. We show that particle Lagrangian coherent structures (pLCS) act as boundaries between regions in which particles have different kinematics. They provide direct geometric information about the motion of ensembles of inertial particles, which is helpful to understand their transport. As an application, we apply the methodology to a planktonic predator-prey system in which moon jellyfish Aurelia aurita uses its body motion to generate a flow that transports small plankton such as copepods to its vicinity for feeding. With the flow field generated by the jellyfish measured experimentally and the dynamics of plankton described by a modified Maxey-Riley equation, we use the pLCS to identify a capture region in which prey can be captured by the jellyfish. The properties of the pLCS and the capture region enable analysis of the effect of several physiological and mechanical parameters on the predator-prey interaction, such as prey size, escape force, predator perception, etc. The methods developed here are equally applicable to multiphase and granular flows, and can be generalized to any other particle equation of motion, e.g. equations governing the motion of reacting particles or charged particles.
机译:我们使用动力学系统方法从惯性粒子在开放流中的经常混沌运动中识别相干结构。我们表明粒子拉格朗日相干结构(pLCS)充当粒子具有不同运动学的区域之间的边界。它们提供有关惯性粒子集合运动的直接几何信息,这有助于理解它们的传输。作为一种应用,我们将该方法应用于浮游式捕食者-捕食系统,在该系统中,月水母Aurelia aurita会利用其身体运动产生将小浮游生物(如co足类)运到附近进行觅食的流。通过实验测量的水母产生的流场,并通过修正的Maxey-Riley方程描述浮游生物的动力学,我们使用pLCS来识别水母可以捕获猎物的捕获区域。 pLCS和捕获区域的特性使得能够分析多种生理和机械参数对捕食者-猎物相互作用的影响,例如猎物大小,逃逸力,捕食者感知等。此处开发的方法同样适用于多相捕食和捕食颗粒流,并且可以推广到任何其他运动的粒子方程,例如控制反应粒子或带电粒子运动的方程。

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