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 …

[HTML][HTML] A review of physics-based machine learning in civil engineering

SR Vadyala, SN Betgeri, JC Matthews… - Results in Engineering, 2022 - Elsevier
The recent development of machine learning (ML) and Deep Learning (DL) increases the
opportunities in all the sectors. ML is a significant tool that can be applied across many …

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 …

Guide to spectral proper orthogonal decomposition

OT Schmidt, T Colonius - Aiaa journal, 2020 - arc.aiaa.org
This paper discusses the spectral proper orthogonal decomposition and its use in identifying
modes, or structures, in flow data. A specific algorithm based on estimating the cross …

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 …

Modal analysis of fluid flows: An overview

K Taira, SL Brunton, STM Dawson, CW Rowley… - Aiaa Journal, 2017 - arc.aiaa.org
SIMPLE aerodynamic configurations under even modest conditions can exhibit complex
flows with a wide range of temporal and spatial features. It has become common practice in …

Data-driven modeling for unsteady aerodynamics and aeroelasticity

J Kou, W Zhang - Progress in Aerospace Sciences, 2021 - Elsevier
Aerodynamic modeling plays an important role in multiphysics and design problems, in
addition to experiment and numerical simulation, due to its low-dimensional representation …

Spectral analysis of jet turbulence

OT Schmidt, A Towne, G Rigas, T Colonius… - Journal of Fluid …, 2018 - cambridge.org
Informed by large-eddy simulation (LES) data and resolvent analysis of the mean flow, we
examine the structure of turbulence in jets in the subsonic, transonic and supersonic …

[HTML][HTML] Towards extraction of orthogonal and parsimonious non-linear modes from turbulent flows

H Eivazi, S Le Clainche, S Hoyas, R Vinuesa - Expert Systems with …, 2022 - Elsevier
Modal-decomposition techniques are computational frameworks based on data aimed at
identifying a low-dimensional space for capturing dominant flow features: the so-called …

[HTML][HTML] A digital twin framework for civil engineering structures

M Torzoni, M Tezzele, S Mariani, A Manzoni… - Computer Methods in …, 2024 - Elsevier
The digital twin concept represents an appealing opportunity to advance condition-based
and predictive maintenance paradigms for civil engineering systems, thus allowing reduced …