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 …

Approximate deconvolution reduced order modeling

X Xie, D Wells, Z Wang, T Iliescu - Computer Methods in Applied Mechanics …, 2017 - Elsevier
This paper proposes a large eddy simulation reduced order model (LES-ROM) framework
for the numerical simulation of convection-dominated flows. In this LES-ROM framework, the …

[HTML][HTML] Approximate deconvolution Leray reduced order model for convection-dominated flows

A Sanfilippo, I Moore, F Ballarin, T Iliescu - Finite Elements in Analysis and …, 2023 - Elsevier
In this paper, we propose a novel ROM stabilization strategy for under-resolved convection-
dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL …

An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier--Stokes Equations

M Gunzburger, T Iliescu, M Mohebujjaman… - SIAM/ASA Journal on …, 2019 - SIAM
In this paper, we propose a filter-based stabilization of reduced order models (ROMs) for
uncertainty quantification (UQ) of the time-dependent Navier--Stokes equations in …

Filter based stabilization methods for reduced order models of convection-dominated systems

IR Moore - 2023 - vtechworks.lib.vt.edu
In this thesis, I examine filtering based stabilization methods to design new regularized
reduced order models (ROMs) for under-resolved simulations of unsteady, nonlinear …

[PDF][PDF] Proper orthogonal decomposition for fluid mechanics problems

J Roth - Leibniz Universitat Hannover, 2021 - julianroth.org
The goal of this thesis is the reduced order modelling (ROM) of fluid mechanics problems by
using the proper orthogonal decomposition (POD). The main motivation of this work is the …

[PDF][PDF] Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows

A Sanfilippoa, I Mooreb, F Ballarinc… - arXiv preprint arXiv …, 2023 - researchgate.net
In this paper, we propose a novel ROM stabilization strategy for underresolved convection-
dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL …

Adjoint and Acceleration Methods for Projection-based Reduced Order Modeling

G Collins - 2022 - deepblue.lib.umich.edu
Computational modeling is a pillar of modern aerospace research and is increasingly
becoming more important as computer technology and numerical methods grow more …

Nonintrusive stabilization of reduced order models for uncertainty quantification of time-dependent convection-dominated flows

M Gunzburger, T Iliescu, M Mohebujjaman… - arXiv preprint arXiv …, 2018 - arxiv.org
In this paper, we propose a nonintrusive filter-based stabilization of reduced order models
(ROMs) for uncertainty quantification (UQ) of the time-dependent Navier-Stokes equations in …

Nonlinear Parametid Model Order Reduction

S Blok - 2023 - diva-portal.org
Abstract Model order reduction techniques are a powerful tool to ease the computational
burden of simulating complex systems. By reducing the dimensionality of high-fidelity …