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使用广义晶格弹簧晶格玻尔兹曼方法对柔性细丝的游动进行模拟。

Simulation of swimming of a flexible filament using the generalized lattice-spring lattice-Boltzmann method.

作者信息

Wu Tai-Hsien, Guo Rurng-Sheng, He Guo-Wei, Liu Ying-Ming, Qi Dewei

机构信息

Department of Chemical and Paper Engineering, Western Michigan University, Kalamazoo, MI 49009, USA; Department of Physics National Kaohsiung Normal University, Kaohsiung 82444, Taiwan.

Department of Physics National Kaohsiung Normal University, Kaohsiung 82444, Taiwan.

出版信息

J Theor Biol. 2014 May 21;349:1-11. doi: 10.1016/j.jtbi.2014.01.021. Epub 2014 Jan 28.

Abstract

A generalized lattice-spring lattice-Boltzmann model (GLLM) is introduced by adding a three-body force in the traditional lattice-spring model. This method is able to deal with bending deformation of flexible biological bodies in fluids. The interactions between elastic solids and fluid are treated with the immersed boundary-lattice Boltzmann method. GLLM is validated by comparing the present results with the existing theoretical and simulation results. As an application of GLLM, swimming of flagellum in fluid is simulated and propulsive force as a function of driven frequency and fluid structures at various Reynolds numbers 0.15-5.1 are presented in this paper.

摘要

通过在传统晶格弹簧模型中添加三体作用力,引入了一种广义晶格弹簧晶格玻尔兹曼模型(GLLM)。该方法能够处理柔性生物体在流体中的弯曲变形。弹性固体与流体之间的相互作用采用浸入边界晶格玻尔兹曼方法处理。通过将当前结果与现有的理论和模拟结果进行比较,对GLLM进行了验证。作为GLLM的一个应用,本文模拟了鞭毛在流体中的游动,并给出了在0.15 - 5.1的各种雷诺数下推进力随驱动频率和流体结构的变化情况。

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