相互作用的弹性水力动力学丝和多体微水力动力学的三维粗粒度配方
Paul Fuchter1, Hermes Bloomfield-Gadêlha1
1Department of Engineering Mathematics and Bristol Robotics Laboratory, University of Bristol, Bristol, UK.
Journal of the Royal Society, Interface
|May 31, 2023
概括
一种新的3D粗粒法有效地模拟了弹性纤维,这对于生物和工程系统至关重要. 这种方法可以加快对毛和微机器人等复杂结构的计算,从而实现更广泛的研究应用.
科学领域:
- 计算物理和生物物理学
- 软质和生物质的机械学
- 微流体技术和微机器人技术
背景情况:
- 弹性纤维在生物和工程系统中是至关重要的,包括眼和人造游泳器.
- 在3D中模拟这些纤细的结构需要平衡弹性,身体,活性和水力动力力.
- 现有的方法经常面临复杂的几何和相互作用的效率和实施方面的挑战.
研究的目的:
- 提出一个通用,高效和可扩展的3D粗粒度配方来模拟弹性纤维.
- 为了实现模拟3D弹性纤维的集合与完整的曲和扭曲变形.
- 通过非局部的水力动力相互作用将这些丝结合起来,并包括任意几何体的多体微水力动力学.
主要方法:
- 开发了一个3D粗粒度配方,利用四次子的指数映射来实现高效的旋转跟踪.
- 采用球体作为构建模块,用于构建任意3D几何体的线程和微结构.
- 综合非局部水力动力相互作用和多体微水力动力学,用于合模拟.
主要成果:
- 实现了高达150倍的计算时间,比直接的四子实现快150倍.
- 证明了该方法能够模拟复杂的现象,如双鞭状游泳和小阵列的粒子传输.
- 通过使用球形构建块验证了任意3D几何结构的简单构建.
结论:
- 提出的3D粗粒法为模拟不同应用中的弹性纤维提供了一种高效和多功能工具.
- 该配方简化了复杂的微规模系统的模拟,包括生物微生物和工程微机器人.
- 提供的Matlab代码有助于进一步定制和扩展微水力学和软物质物理学研究.
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