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 …

A concise guide to modelling the physics of embodied intelligence in soft robotics

G Mengaldo, F Renda, SL Brunton, M Bächer… - Nature Reviews …, 2022 - nature.com
Embodied intelligence (intelligence that requires and leverages a physical body) is a well-
known paradigm in soft robotics, but its mathematical description and consequent …

Applying machine learning to study fluid mechanics

SL Brunton - Acta Mechanica Sinica, 2021 - Springer
This paper provides a short overview of how to use machine learning to build data-driven
models in fluid mechanics. The process of machine learning is broken down into five …

[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 …

Parsimony as the ultimate regularizer for physics-informed machine learning

JN Kutz, SL Brunton - Nonlinear Dynamics, 2022 - Springer
Data-driven modeling continues to be enabled by modern machine learning algorithms and
deep learning architectures. The goals of such efforts revolve around the generation of …

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 …

Time-dependent SOLPS-ITER simulations of the tokamak plasma boundary for model predictive control using SINDy

JD Lore, S De Pascuale, P Laiu, B Russo… - Nuclear …, 2023 - iopscience.iop.org
Time-dependent SOLPS-ITER simulations have been used to identify reduced models with
the sparse identification of nonlinear dynamics (SINDy) method and develop model …