Modern Koopman theory for dynamical systems

SL Brunton, M Budišić, E Kaiser, JN Kutz - arXiv preprint arXiv:2102.12086, 2021 - arxiv.org
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

The transformative potential of machine learning for experiments in fluid mechanics

R Vinuesa, SL Brunton, BJ McKeon - Nature Reviews Physics, 2023 - nature.com
The field of machine learning (ML) has rapidly advanced the state of the art in many fields of
science and engineering, including experimental fluid dynamics, which is one of the original …

Modal analysis of fluid flows: Applications and outlook

K Taira, MS Hemati, SL Brunton, Y Sun, K Duraisamy… - AIAA journal, 2020 - arc.aiaa.org
THE field of fluid mechanics involves a range of rich and vibrant problems with complex
dynamics stemming from instabilities, nonlinearities, and turbulence. The analysis of these …

[HTML][HTML] Uncovering near-wall blood flow from sparse data with physics-informed neural networks

A Arzani, JX Wang, RM D'Souza - Physics of Fluids, 2021 - pubs.aip.org
Near-wall blood flow and wall shear stress (WSS) regulate major forms of cardiovascular
disease, yet they are challenging to quantify with high fidelity. Patient-specific computational …

[HTML][HTML] Super-resolution and denoising of fluid flow using physics-informed convolutional neural networks without high-resolution labels

H Gao, L Sun, JX Wang - Physics of Fluids, 2021 - pubs.aip.org
High-resolution (HR) information of fluid flows, although preferable, is usually less
accessible due to limited computational or experimental resources. In many cases, fluid data …

Data-driven aerospace engineering: reframing the industry with machine learning

SL Brunton, J Nathan Kutz, K Manohar, AY Aravkin… - AIAA Journal, 2021 - arc.aiaa.org
Data science, and machine learning in particular, is rapidly transforming the scientific and
industrial landscapes. The aerospace industry is poised to capitalize on big data and …

[HTML][HTML] Machine learning for fluid mechanics

SL Brunton, BR Noack… - Annual review of fluid …, 2020 - annualreviews.org
The field of fluid mechanics is rapidly advancing, driven by unprecedented volumes of data
from experiments, field measurements, and large-scale simulations at multiple …

[HTML][HTML] Super-resolution analysis via machine learning: a survey for fluid flows

K Fukami, K Fukagata, K Taira - Theoretical and Computational Fluid …, 2023 - Springer
This paper surveys machine-learning-based super-resolution reconstruction for vortical
flows. Super resolution aims to find the high-resolution flow fields from low-resolution data …

Global field reconstruction from sparse sensors with Voronoi tessellation-assisted deep learning

K Fukami, R Maulik, N Ramachandra… - Nature Machine …, 2021 - nature.com
Achieving accurate and robust global situational awareness of a complex time-evolving field
from a limited number of sensors has been a long-standing challenge. This reconstruction …

Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre–Green–Naghdi equations

AD Jagtap, D Mitsotakis, GE Karniadakis - Ocean Engineering, 2022 - Elsevier
We consider strongly-nonlinear and weakly-dispersive surface water waves governed by
equations of Boussinesq type, known as the Serre–Green–Naghdi system; it describes …