Comparing different nonlinear dimensionality reduction techniques for data-driven unsteady fluid flow modeling

H Csala, S Dawson, A Arzani - Physics of Fluids, 2022 - pubs.aip.org
Computational fluid dynamics (CFD) is known for producing high-dimensional
spatiotemporal data. Recent advances in machine learning (ML) have introduced a myriad …

Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier–Stokes equation

M Dehghan, M Abbaszadeh - Computer Methods in Applied Mechanics …, 2016 - Elsevier
Recently, because of simplicity of meshless methods, they have been employed for solving
many partial differential equations. One of the meshless methods is element free Galerkin …

Calibration of POD reduced‐order models using Tikhonov regularization

L Cordier, BA El Majd, J Favier - International journal for …, 2010 - Wiley Online Library
In this paper we compare various methods of calibration that can be used in practice to
improve the accuracy of reduced‐order models based on proper orthogonal decomposition …

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 …

2D Burgers equation with large Reynolds number using POD/DEIM and calibration

Y Wang, IM Navon, X Wang… - International Journal for …, 2016 - Wiley Online Library
Model order reduction of the two‐dimensional Burgers equation is investigated. The
mathematical formulation of POD/discrete empirical interpolation method (DEIM)‐reduced …

Identification strategies for model-based control

L Cordier, BR Noack, G Tissot, G Lehnasch… - Experiments in …, 2013 - Springer
A reduced-order modelling (ROM) strategy is crucial to achieve model-based control in a
wide class of flow configurations. In turbulence, ROMs are mostly derived by Galerkin …

Low-dimensional characteristics of a transonic jet. Part 2. Estimate and far-field prediction

CE Tinney, LS Ukeiley, MN Glauser - Journal of Fluid Mechanics, 2008 - cambridge.org
Complementary low-dimensional techniques are modified to estimate the most energetic
turbulent features of a Mach 0.85 axisymmetric jet in the flow's near-field regions via spectral …

Data-driven modeling of transonic unsteady flows and efficient analysis of fluid–structure stability

X Yao, R Huang, H Hu - Journal of Fluids and Structures, 2022 - Elsevier
The reduced-order aerodynamic models constructed via the linear/nonlinear system
identification methodologies cannot reveal the flow characteristics of the fluid–structure …

Spiral flow instability between a rotor and a stator in high-speed turbomachinery and its relation to fan noise

T Suzuki - Journal of Fluid Mechanics, 2023 - cambridge.org
Hydrodynamic instabilities in the interstage of turbomachinery and their relation to fan
broadband noise are investigated over wide operating conditions. By applying compressible …

Linear reduced-order model based on PIV data of flow field around airfoil

K Nankai, Y Ozawa, T Nonomura… - Transactions of the Japan …, 2019 - jstage.jst.go.jp
In this study, a linear reduced-order model of flow fields around a NACA0015 is constructed
based on time-resolved particle image velocimetry (PIV) data. The PIV data were obtained at …