Lubricated Immersed Boundary Method: Numerical Analysis, Benchmarking, and Applications

润滑浸入边界法：数值分析、基准测试和应用

• 批准号: 1913093
• 负责人: Thomas Fai
• 金额: $ 22.61万
• 依托单位: Brandeis University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-06-15 至 2023-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1913093&HistoricalAwards=false
• 关键词: Lubricated; Immersed; Boundary; Method; Numerical

Fluid-structure interaction is common in biological problems and engineering applications. In many cases of interest, such as red blood cell motion through the microcirculation and the opening and closing of the heart valves, small-scale fluid flows between structures in near-contact are important for the overall behavior. The presence of multiple scales in these problems poses challenges for both modeling and simulation. Whereas existing methods such as adaptive mesh refinement use algorithmic techniques to bridge these scales and incur significant computational costs, here the research develops an alternative method in which the governing equations are replaced at small scales by a much simpler asymptotic limit.The goal of this project is to develop an improved version of the immersed boundary method that uses lubrication theory to model fluid flows between structures in near contact. The immersed boundary method is a widely used approach for modeling fluid-structure interaction. A longstanding limitation of this method is that structures that are in near contact tend to stick together, so that they require unphysically large forces to separate. The lubricated immersed boundary method uses lubrication theory as a subgrid model to overcome this difficulty of the classical method. Because lubrication theory is exact in the limit that the spacing between two structures goes to zero, the accuracy of the subgrid model improves as structures come closer together. This research analyzes and benchmarks the lubricated immersed boundary method. Specific aims include performing a multiscale numerical analysis, developing efficient implementations in three dimensions, and investigating higher-order accurate extensions based on the immersed interface method.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

流固相互作用在生物学问题和工程应用中很常见。在许多感兴趣的情况下，例如红细胞通过微循环的运动以及心脏瓣膜的打开和关闭，近接触结构之间的小规模流体流动对于整体行为很重要。在这些问题中的多尺度的存在提出了挑战，建模和仿真。而现有的方法，如自适应网格细化使用算法技术来桥接这些尺度并产生显著的计算成本，本文的研究发展了一种替代方法，在这种方法中，控制方程在小尺度下被一个更简单的渐近极限所取代。本项目的目标是发展一种改进的浸入边界法，该方法利用润滑理论来模拟近距离结构之间的流体流动。contact.浸入边界法是一种广泛应用的流固耦合数值模拟方法。这种方法的一个长期存在的局限性是，接近接触的结构往往粘在一起，因此它们需要非物理的大力量来分离。润滑浸没边界法采用润滑理论作为亚网格模型，克服了经典方法的这一困难。由于润滑理论在两个结构之间的间距趋于零的限制下是精确的，因此随着结构靠近，亚网格模型的精度提高。本研究分析并基准润滑浸入边界法。具体目标包括执行多尺度数值分析，开发三维高效实现，并调查基于浸入式界面方法的高阶精度扩展。该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估来支持。

项目成果

Cavity Volume and Free Energy in Many-Body Systems

• DOI: 10.1007/s00332-021-09744-y
• 发表时间: 2021-04
• 期刊: Journal of Nonlinear Science
• 影响因子: 3
• 作者: Jamie M. Taylor;Thomas G. Fai;E. Virga;Xiaoyu Zheng;P. Palffy-Muhoray

Passive endocytosis in model protocells.

• DOI: 10.1073/pnas.2221064120
• 发表时间: 2023-06-13
• 期刊: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• 影响因子: 11.1
• 作者: Zhang, Stephanie J.;Lowe, Lauren A.;Anees, Palapuravan;Krishnan, Yamuna;Fai, Thomas G.;Szostak, Jack W.;Wang, Anna
• 通讯作者: Wang, Anna

Multi-scale model of clogging in microfluidic devices with grid-like geometries

网格状微流体装置堵塞的多尺度模型

• DOI: 10.1098/rspa.2022.0119
• 发表时间: 2022
• 期刊: Physical and Engineering Sciences
• 作者: Kelly, Gess;Fai, Thomas G.
• 通讯作者: Fai, Thomas G.

Leaky cell model of hard spheres

硬球的渗漏细胞模型

• DOI: 10.1063/5.0037442
• 发表时间: 2021
• 期刊: The Journal of Chemical Physics
• 作者: Fai, Thomas G.;Taylor, Jamie M.;Virga, Epifanio G.;Zheng, Xiaoyu;Palffy-Muhoray, Peter
• 通讯作者: Palffy-Muhoray, Peter