Learning physics-based models from data: perspectives from inverse problems and model reduction

O Ghattas, K Willcox - Acta Numerica, 2021 - cambridge.org
This article addresses the inference of physics models from data, from the perspectives of
inverse problems and model reduction. These fields develop formulations that integrate data …

Linear closed-loop control of fluid instabilities and noise-induced perturbations: a review of approaches and tools

D Sipp, PJ Schmid - Applied Mechanics Reviews, 2016 - asmedigitalcollection.asme.org
This review article is concerned with the design of linear reduced-order models and control
laws for closed-loop control of instabilities in transitional flows. For oscillator flows, such as …

A deep learning enabler for nonintrusive reduced order modeling of fluid flows

S Pawar, SM Rahman, H Vaddireddy, O San… - Physics of …, 2019 - pubs.aip.org
In this paper, we introduce a modular deep neural network (DNN) framework for data-driven
reduced order modeling of dynamical systems relevant to fluid flows. We propose various …

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) …

Reduced order models for the quasi-geostrophic equations: A brief survey

C Mou, Z Wang, DR Wells, X Xie, T Iliescu - Fluids, 2020 - mdpi.com
Reduced order models (ROMs) are computational models whose dimension is significantly
lower than those obtained through classical numerical discretizations (eg, finite element …

[HTML][HTML] Data-driven recovery of hidden physics in reduced order modeling of fluid flows

S Pawar, SE Ahmed, O San, A Rasheed - Physics of Fluids, 2020 - pubs.aip.org
In this article, we introduce a modular hybrid analysis and modeling (HAM) approach to
account for hidden physics in reduced order modeling (ROM) of parameterized systems …

A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications

D Xiao, F Fang, CC Pain, IM Navon - Computer Methods in Applied …, 2017 - Elsevier
A novel parameterized non-intrusive reduced order model (P-NIROM) based on proper
orthogonal decomposition (POD) has been developed. This P-NIROM is a generic and …

Non-intrusive reduced order modelling of fluid–structure interactions

D Xiao, P Yang, F Fang, J Xiang, CC Pain… - Computer Methods in …, 2016 - Elsevier
A novel non-intrusive reduced order model (NIROM) for fluid–structure interaction (FSI) has
been developed. The model is based on proper orthogonal decomposition (POD) and radial …

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 …

Physically constrained data‐driven correction for reduced‐order modeling of fluid flows

M Mohebujjaman, LG Rebholz… - International Journal for …, 2019 - Wiley Online Library
We have recently proposed a data‐driven correction reduced‐order model (DDC‐ROM)
framework for the numerical simulation of fluid flows, which can be formally written as …