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首页> 外文期刊>Journal of Theoretical Biology >Planktonic contact rates in homogeneous isotropic turbulence: Theoretical predictions and kinematic simulations
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Planktonic contact rates in homogeneous isotropic turbulence: Theoretical predictions and kinematic simulations

机译：均质各向同性湍流中的浮子接触速率：理论预测和运动学模拟

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The key role played by turbulence in the environment of plankton and larval fish populations has become appreciated in recent years. In particular, the turbulent enhancement of encounter rates between different species of microorganisms, either swimming or passively advected by the flow, is well established. However, most of the current modelling approaches are rather ad hoc, giving rise to ambiguities in the specification of certain key parameters. In this paper, the encounter problem in a turbulent flow of large Reynolds number is re-examined from first principles and a number of new formulae will be established for different swimming strategies. The key innovation is the proposal of a model form for the conditional joint probability density function of predator and prey velocities when the organisms are separated by their given contact radius, R. Particular attention will be paid to the case when a microorganism follows a random trajectory, due to a combination of its own swimming and the action of the flow. The theoretical predictions are subsequently tested against corresponding quantities derived from a series of kinematic simulations of a turbulent-like flow field. Good agreement is demonstrated between the predictions and simulations. (C) 2000 Academic Press. [References: 56]
机译：近年来，湍流在浮游生物和幼鱼种群环境中所起的关键作用已得到人们的认可。尤其是，已经确定了不同种类的微生物之间的接触速率的湍流增强，无论是游泳的还是通过流动被动地平流。但是，当前大多数建模方法都是临时的，在某些关键参数的规范中产生了歧义。在本文中，将从第一性原理中重新审查大雷诺数湍流中的相遇问题，并将针对不同的游泳策略建立许多新公式。关键的创新是提出了一种模型形式，用于当生物被给定的接触半径R分开时，捕食者和猎物的速度的条件联合概率密度函数。将特别注意微生物遵循随机轨迹的情况，由于其自​​身的游泳和流动的结合。随后针对相对于从类似湍流场的运动学模拟中得出的相应量来测试理论预测。预测和模拟之间显示出良好的一致性。 （C）2000学术出版社。 [参考：56]

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