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arXiv 1501.02935physics.flu-dynphysics.bio-phphysics.comp-ph
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适用于低Reynolds number的柔性纤维和活性长丝的珠粒模型的一般公式

A general formulation of Bead Models applied to flexible fibers and active filaments at low Reynolds number

Blaise Delmotte, Eric Climent, Franck Plouraboue

摘要:

这一贡献提供了一个通用的框架,使用拉格朗日乘子的珠模型(BM)的基础上模拟低雷诺数纤维动力学。这种形式主义提供了一种有效的方法来考虑运动约束。我们举例说明,与几个例子,在何种程度上,所提出的配方提供了一个灵活的和通用的框架,用于定量建模的柔性纤维的变形和旋转剪切流,驱动细丝的动力学和主动游泳者的推进。此外,一个新的接触模型称为齿轮模型,并成功地测试。它避免了使用数值技巧,如相邻珠子之间的排斥力,在以前的珠子模型的时间整合的数值困难的来源。

英文摘要:

This contribution provides a general framework to use Lagrange multipliers for the simulation of low Reynolds number fiber dynamics based on Bead Models (BM). This formalism provides an efficient method to account for kinematic constraints. We illustrate, with several examples, to which extent the proposed formulation offers a flexible and versatile framework for the quantitative modeling of flexible fibers deformation and rotation in shear flow, the dynamics of actuated filaments and the propulsion of active swimmers. Furthermore, a new contact model called Gears Model is proposed and successfully tested. It avoids the use of numerical artifices such as repulsive forces between adjacent beads, a source of numerical difficulties in the temporal integration of previous Bead Models.

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。

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