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 …

On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows

S Grimberg, C Farhat, N Youkilis - Journal of Computational Physics, 2020 - Elsevier
In the literature on nonlinear projection-based model order reduction for computational fluid
dynamics problems, it is often claimed that due to modal truncation, a projection-based …

Data-driven filtered reduced order modeling of fluid flows

X Xie, M Mohebujjaman, LG Rebholz, T Iliescu - SIAM Journal on Scientific …, 2018 - SIAM
We propose a data-driven filtered reduced order model (DDF-ROM) framework for the
numerical simulation of fluid flows. The novel DDF-ROM framework consists of two steps:(i) …

A reduced order variational multiscale approach for turbulent flows

G Stabile, F Ballarin, G Zuccarino, G Rozza - Advances in Computational …, 2019 - Springer
The purpose of this work is to present different reduced order model strategies starting from
full order simulations stabilized using a residual-based variational multiscale (VMS) …

[图书][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 …

Data-driven variational multiscale reduced order models

C Mou, B Koc, O San, LG Rebholz, T Iliescu - Computer Methods in Applied …, 2021 - Elsevier
We propose a new data-driven reduced order model (ROM) framework that centers around
the hierarchical structure of the variational multiscale (VMS) methodology and utilizes data …

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 …

Consistency of the full and reduced order models for evolve‐filter‐relax regularization of convection‐dominated, marginally‐resolved flows

M Strazzullo, M Girfoglio, F Ballarin… - International Journal …, 2022 - Wiley Online Library
Numerical stabilization is often used to eliminate (alleviate) the spurious oscillations
generally produced by full order models (FOMs) in under‐resolved or marginally‐resolved …

Bridging Large Eddy Simulation and Reduced Order Modeling of Convection-Dominated Flows through Spatial Filtering: Review and Perspectives

A Quaini, O San, A Veneziani, T Iliescu - arXiv preprint arXiv:2407.00231, 2024 - arxiv.org
Reduced order models (ROMs) have achieved a lot of success in reducing the
computational cost of traditional numerical methods across many disciplines. For convection …

Error analysis of supremizer pressure recovery for POD based reduced-order models of the time-dependent Navier--Stokes equations

K Kean, M Schneier - SIAM Journal on Numerical Analysis, 2020 - SIAM
For incompressible flow models, the pressure term serves as a Lagrange multiplier to
ensure that the incompressibility constraint is satisfied. In engineering applications, the …