一种机械上一致的统一配方,用于流体 - 孔隙 - 结构 - 接触相互作用
Fannie M Gerosa1,2,3, Alison L Marsden1,2,3,4
1Department of Bioengineering, Stanford University, CA, USA.
概括
本研究提出了流体-孔隙-结构-接触相互作用 (FPSCI) 的统一框架,解决了流体动力学中复杂的接触挑战. 新模型精确模拟了表面粗效应,并确保了改善计算建模的机械一致性.
科学领域:
- 计算流体动力学的流体动力学.
- 多物理模拟器 多物理模拟器
- 接触力学 接触力学 联系力学
背景情况:
- 与接触的流体结构相互作用 (FSI) 带来了重大的数学和数值挑战.
- 现实的接触场景,包括表面粗,复杂的流体域拓和应力平衡.
- 现有的模型在复杂的接口合和在接触过程中保持机械一致性方面扎.
研究的目的:
- 引入一种新的数学框架,用于统一连续描述流体-孔隙-结构-接触相互作用 (FPSCI).
- 使用纳维尔-斯托克斯-布林克曼 (NSB) 方程,将表面度内的多孔效应纳入.
- 开发一种强大且计算效率高的方法来模拟复杂的FSI与接触.
主要方法:
- 利用纳维尔-斯托克斯-布林克曼 (NSB) 方程来计算接触区域的多孔效应.
- 采用统一的连续和变化的多尺度配方来稳定整合子问题.
- 保持机械的一致性,解决接触模型和接口合方面的挑战.
主要成果:
- 成功建模了由于表面粗而导致的接触式爬行流.
- 通过基准问题证明了计算效率和易于实施.
- 实现了流体,多孔和固体领域的强大和稳定的集成.
结论:
- 拟议的FPSCI框架提供了一种统一和一致的方法来建模复杂的流体结构相互作用与接触.
- 该方法有效地处理表面粗和多孔效应,克服传统模型的局限性.
- 这项研究推进了FSI的数值模拟技术,对各种科学和工程领域具有广泛的影响.
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