NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations

X Jin, S Cai, H Li, GE Karniadakis - Journal of Computational Physics, 2021 - Elsevier
In the last 50 years there has been a tremendous progress in solving numerically the Navier-
Stokes equations using finite differences, finite elements, spectral, and even meshless …

Flow over an espresso cup: inferring 3-D velocity and pressure fields from tomographic background oriented Schlieren via physics-informed neural networks

S Cai, Z Wang, F Fuest, YJ Jeon, C Gray… - Journal of Fluid …, 2021 - cambridge.org
Tomographic background oriented Schlieren (Tomo-BOS) imaging measures density or
temperature fields in three dimensions using multiple camera BOS projections, and is …

Review of machine learning for hydrodynamics, transport, and reactions in multiphase flows and reactors

LT Zhu, XZ Chen, B Ouyang, WC Yan… - Industrial & …, 2022 - ACS Publications
Artificial intelligence (AI), machine learning (ML), and data science are leading to a
promising transformative paradigm. ML, especially deep learning and physics-informed ML …

Machine learning approach for flow fields over a circular cylinder based on particle image velocimetry measurements

MH Aksoy, I Goktepeli, M Ispir, A Cakan - Measurement, 2023 - Elsevier
Flow around a circular cylinder has been experimentally studied at Reynolds numbers of
Re= 4× 10 3 and Re= 8× 10 3 using Particle Image Velocimetry (PIV). The Artificial Neural …

物理增强的流场深度学习建模与模拟方法

金晓威, 李惠 - 力学学报, 2021 - lxxb.cstam.org.cn
流体运动理论上可用Navier− Stokes 方程描述, 但由于对流项带来的非线性,
仅在少数情况可求得方程解析解. 对于复杂工程流动问题, 数值模拟难以高效精准计算高雷诺数 …

DeepTRNet: Time-resolved reconstruction of flow around a circular cylinder via spatiotemporal deep neural networks

S Laima, X Zhou, X Jin, D Gao, H Li - Physics of Fluids, 2023 - pubs.aip.org
We propose spatiotemporal deep neural networks for the time-resolved reconstruction of the
velocity field around a circular cylinder (DeepTRNet) based only on two flow data types: the …

Towards real-time prediction of velocity field around a building using generative adversarial networks based on the surface pressure from sparse sensor networks

B Zhang, R Ooka, H Kikumoto, C Hu, KT Tim - Journal of Wind Engineering …, 2022 - Elsevier
In this study, we used machine learning techniques to predict instantaneous velocity fields
around a single building, where a limited amount of surface pressure data obtained from …

Machine learning for flow field measurements: a perspective

S Discetti, Y Liu - Measurement Science and Technology, 2022 - iopscience.iop.org
Advancements in machine-learning (ML) techniques are driving a paradigm shift in image
processing. Flow diagnostics with optical techniques is not an exception. Considering the …

Predictions of transient vector solution fields with sequential deep operator network

J He, S Kushwaha, J Park, S Koric, D Abueidda… - Acta Mechanica, 2024 - Springer
The deep operator network (DeepONet) structure has shown great potential in
approximating complex solution operators with low generalization errors. Recently, a …

Physics-enhanced deep learning methods for modelling and simulating flow fields

J Xiaowei, L Shujin, L Hui - 力学学报, 2021 - lxxb.cstam.org.cn
Fluid flows can be theoretically described by the Navier− Stokes equations. However, due to
the nonlinear convection term, analytical solutions of the equations can only be obtained for …