Multi-scale physics-informed neural networks for solving high Reynolds number boundary layer flows based on matched asymptotic expansions

IF 3.2 3区 工程技术 Q2 MECHANICS
Jianlin Huang , Rundi Qiu , Jingzhu Wang , Yiwei Wang
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引用次数: 0

Abstract

Multi-scale system remains a classical scientific problem in fluid dynamics, biology, etc. In the present study, a scheme of multi-scale Physics-informed neural networks (msPINNs) is proposed to solve the boundary layer flow at high Reynolds numbers without any data. The flow is divided into several regions with different scales based on Prandtl’s boundary theory. Different regions are solved with governing equations in different scales. The method of matched asymptotic expansions is used to make the flow field continuously. A flow on a semi infinite flat plate at a high Reynolds number is considered a multi-scale problem because the boundary layer scale is much smaller than the outer flow scale. The results are compared with the reference numerical solutions, which show that the msPINNs can solve the multi-scale problem of the boundary layer in high Reynolds number flows. This scheme can be developed for more multi-scale problems in the future.

Abstract Image

基于匹配渐近展开的多尺度物理信息神经网络求解高雷诺数边界层流动
多尺度系统仍然是流体动力学、生物学等领域的经典科学问题。本研究提出了一种多尺度物理信息神经网络(msPINNs)方案,用于在没有任何数据的情况下求解高雷诺数下的边界层流动。根据普朗特边界理论,流动被划分为多个不同尺度的区域。不同区域采用不同尺度的控制方程求解。采用匹配渐近展开法使流场连续。在高雷诺数下,半无限平板上的流动被视为多尺度问题,因为边界层尺度远小于外部流动尺度。将结果与参考数值解进行比较,结果表明 msPINNs 可以解决高雷诺数流动中边界层的多尺度问题。该方案今后可用于解决更多的多尺度问题。
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来源期刊
CiteScore
6.20
自引率
2.90%
发文量
545
审稿时长
12 weeks
期刊介绍: An international journal devoted to rapid communications on novel and original research in the field of mechanics. TAML aims at publishing novel, cutting edge researches in theoretical, computational, and experimental mechanics. The journal provides fast publication of letter-sized articles and invited reviews within 3 months. We emphasize highlighting advances in science, engineering, and technology with originality and rapidity. Contributions include, but are not limited to, a variety of topics such as: • Aerospace and Aeronautical Engineering • Coastal and Ocean Engineering • Environment and Energy Engineering • Material and Structure Engineering • Biomedical Engineering • Mechanical and Transportation Engineering • Civil and Hydraulic Engineering Theoretical and Applied Mechanics Letters (TAML) was launched in 2011 and sponsored by Institute of Mechanics, Chinese Academy of Sciences (IMCAS) and The Chinese Society of Theoretical and Applied Mechanics (CSTAM). It is the official publication the Beijing International Center for Theoretical and Applied Mechanics (BICTAM).
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