Empowering engineering with data, machine learning and artificial intelligence: a short introductive review

F Chinesta, E Cueto - Advanced Modeling and Simulation in Engineering …, 2022 - Springer
Simulation-based engineering has been a major protagonist of the technology of the last
century. However, models based on well established physics fail sometimes to describe the …

Gaussian process subspace prediction for model reduction

R Zhang, S Mak, D Dunson - SIAM Journal on Scientific Computing, 2022 - SIAM
Subspace-valued functions arise in a wide range of problems, including parametric reduced
order modeling (PROM), parameter reduction, and subspace tracking. In PROM, each …

Greedy identification of latent dynamics from parametric flow data

M Oulghelou, A Ammar, R Ayoub - Computer Methods in Applied …, 2024 - Elsevier
Projection-based reduced-order models (ROMs) play a crucial role in simplifying the
complex dynamics of fluid systems. Such models are achieved by projecting the Navier …

A new method to interpolate POD reduced bases–Application to the parametric model order reduction of a gas bearings supported rotor

D Goutaudier, F Nobile… - International Journal for …, 2023 - Wiley Online Library
The proper orthogonal decomposition (POD) is successfully employed in a variety of
projection‐based methods for parametric model order reduction (pMOR) of large dynamical …

Stiefel manifold interpolation for non-intrusive model reduction of parameterized fluid flow problems

A El Omari, M El Khlifi, L Cordier - Journal of Computational Physics, 2025 - Elsevier
Many engineering problems are parameterized. In order to minimize the computational cost
necessary to evaluate a new operating point, the interpolation of singular matrices …

Assessing the wall energy efficiency design under climate change using POD reduced order model

J Berger, C Allery, A Machard - Energy and Buildings, 2022 - Elsevier
Within the environmental context, numerical modeling is a promising approach to assess the
energy efficiency of building. Resilient buildings need to be designed, capable of adapting …

Improved Greedy Identification of Latent Dynamics with Application to Fluid Flows

R Ayoub, M Oulghelou, PJ Schmid - arXiv preprint arXiv:2411.08071, 2024 - arxiv.org
Model reduction is a key technology for large-scale physical systems in science and
engineering, as it brings behavior expressed in many degrees of freedom to a more …

A Closed Machine Learning Parametric Reduced Order Model Approach-Application to Turbulent Flows

M Oulghelou, A Ammar, R Ayoub - Available at SSRN 4446495, 2023 - papers.ssrn.com
Generally, reduced order models of fluid flows are obtained by projecting the Navier-Stokes
equations onto a reduced subspace spanned by vector functions that carry the meaningful …