Enhancing computational fluid dynamics with machine learning

R Vinuesa, SL Brunton - Nature Computational Science, 2022 - nature.com
Abstract Machine learning is rapidly becoming a core technology for scientific computing,
with numerous opportunities to advance the field of computational fluid dynamics. Here we …

Promising directions of machine learning for partial differential equations

SL Brunton, JN Kutz - Nature Computational Science, 2024 - nature.com
Partial differential equations (PDEs) are among the most universal and parsimonious
descriptions of natural physical laws, capturing a rich variety of phenomenology and …

Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control

U Fasel, JN Kutz, BW Brunton… - Proceedings of the …, 2022 - royalsocietypublishing.org
Sparse model identification enables the discovery of nonlinear dynamical systems purely
from data; however, this approach is sensitive to noise, especially in the low-data limit. In this …

Discovering causal relations and equations from data

G Camps-Valls, A Gerhardus, U Ninad, G Varando… - Physics Reports, 2023 - Elsevier
Physics is a field of science that has traditionally used the scientific method to answer
questions about why natural phenomena occur and to make testable models that explain the …

A review of physics-informed machine learning in fluid mechanics

P Sharma, WT Chung, B Akoush, M Ihme - Energies, 2023 - mdpi.com
Physics-informed machine-learning (PIML) enables the integration of domain knowledge
with machine learning (ML) algorithms, which results in higher data efficiency and more …

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 …

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 …

[PDF][PDF] The potential of machine learning to enhance computational fluid dynamics

R Vinuesa, SL Brunton - arxiv preprint arxiv:2110.02085, 2021 - researchgate.net
Abstract Machine learning is rapidly becoming a core technology for scientific computing,
with numerous opportunities to advance the field of computational fluid dynamics. This …

Benchmarking sparse system identification with low-dimensional chaos

AA Kaptanoglu, L Zhang, ZG Nicolaou, U Fasel… - Nonlinear …, 2023 - Springer
Sparse system identification is the data-driven process of obtaining parsimonious differential
equations that describe the evolution of a dynamical system, balancing model complexity …

Machine learning for partial differential equations

SL Brunton, JN Kutz - arxiv preprint arxiv:2303.17078, 2023 - arxiv.org
Partial differential equations (PDEs) are among the most universal and parsimonious
descriptions of natural physical laws, capturing a rich variety of phenomenology and multi …