Data-driven POD-Galerkin reduced order model for turbulent flows

S Hijazi, G Stabile, A Mola, G Rozza - Journal of Computational Physics, 2020 - Elsevier
In this work we present a Reduced Order Model which is specifically designed to deal with
turbulent flows in a finite volume setting. The method used to build the reduced order model …

[KÖNYV][B] Advanced reduced order methods and applications in computational fluid dynamics

G Rozza, G Stabile, F Ballarin - 2022 - SIAM
Reduced order modeling is an important and fast-growing research field in computational
science and engineering, motivated by several reasons, of which we mention just a few …

On closures for reduced order models—A spectrum of first-principle to machine-learned avenues

SE Ahmed, S Pawar, O San, A Rasheed, T Iliescu… - Physics of …, 2021 - pubs.aip.org
For over a century, reduced order models (ROMs) have been a fundamental discipline of
theoretical fluid mechanics. Early examples include Galerkin models inspired by the Orr …

A one-shot overlap** Schwarz method for component-based model reduction: application to nonlinear elasticity

A Iollo, G Sambataro, T Taddei - Computer Methods in Applied Mechanics …, 2023 - Elsevier
We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations (PDEs) based on …

Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity

N Barral, T Taddei, I Tifouti - Journal of Computational Physics, 2024 - Elsevier
We propose an automated nonlinear model reduction and mesh adaptation framework for
rapid and reliable solution of parameterized advection-dominated problems, with emphasis …

Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs

T Taddei, L Zhang - ESAIM: Mathematical Modelling and …, 2021 - esaim-m2an.org
We propose a model reduction procedure for rapid and reliable solution of parameterized
hyperbolic partial differential equations. Due to the presence of parameter-dependent shock …

Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning

H Gao, JX Wang, MJ Zahr - Physica D: Nonlinear Phenomena, 2020 - Elsevier
Projection-based model reduction has become a popular approach to reduce the cost
associated with integrating large-scale dynamical systems so they can be used in many …

Train small, model big: Scalable physics simulators via reduced order modeling and domain decomposition

SW Chung, Y Choi, P Roy, T Moore, T Roy… - Computer Methods in …, 2024 - Elsevier
Numerous cutting-edge scientific technologies originate at the laboratory scale, but
transitioning them to practical industry applications is a formidable challenge. Traditional …

Registration-based model reduction of parameterized two-dimensional conservation laws

A Ferrero, T Taddei, L Zhang - Journal of Computational Physics, 2022 - Elsevier
We propose a nonlinear registration-based model reduction procedure for rapid and reliable
solution of parameterized two-dimensional steady conservation laws. This class of problems …

Residual-Based Stabilized Reduced-Order Models of the Transient Convection–Diffusion–Reaction Equation Obtained Through Discrete and Continuous Projection

E Parish, M Yano, I Tezaur, T Iliescu - Archives of Computational Methods …, 2024 - Springer
Abstract Galerkin and Petrov–Galerkin projection-based reduced-order models (ROMs) of
transient partial differential equations are typically obtained by performing a dimension …