Modal analysis of fluid flows: An overview

K Taira, SL Brunton, STM Dawson, CW Rowley… - Aiaa Journal, 2017 - arc.aiaa.org
SIMPLE aerodynamic configurations under even modest conditions can exhibit complex
flows with a wide range of temporal and spatial features. It has become common practice in …

Model reduction for flow analysis and control

CW Rowley, STM Dawson - Annual Review of Fluid Mechanics, 2017 - annualreviews.org
Advances in experimental techniques and the ever-increasing fidelity of numerical
simulations have led to an abundance of data describing fluid flows. This review discusses a …

Data-driven modeling for unsteady aerodynamics and aeroelasticity

J Kou, W Zhang - Progress in Aerospace Sciences, 2021 - Elsevier
Aerodynamic modeling plays an important role in multiphysics and design problems, in
addition to experiment and numerical simulation, due to its low-dimensional representation …

Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses

KK Chen, JH Tu, CW Rowley - Journal of nonlinear science, 2012 - Springer
Dynamic mode decomposition (DMD) is an Arnoldi-like method based on the Koopman
operator. It analyzes empirical data, typically generated by nonlinear dynamics, and …

Convolutional neural network and long short-term memory based reduced order surrogate for minimal turbulent channel flow

T Nakamura, K Fukami, K Hasegawa, Y Nabae… - Physics of …, 2021 - pubs.aip.org
We investigate the applicability of the machine learning based reduced order model (ML-
ROM) to three-dimensional complex flows. As an example, we consider a turbulent channel …

Convolutional neural network based hierarchical autoencoder for nonlinear mode decomposition of fluid field data

K Fukami, T Nakamura, K Fukagata - Physics of Fluids, 2020 - pubs.aip.org
We propose a customized convolutional neural network based autoencoder called a
hierarchical autoencoder, which allows us to extract nonlinear autoencoder modes of flow …

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 …

Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction

K Carlberg, M Barone, H Antil - Journal of Computational Physics, 2017 - Elsevier
Abstract Least-squares Petrov–Galerkin (LSPG) model-reduction techniques such as the
Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they …

Koopman operator-based model reduction for switched-system control of PDEs

S Peitz, S Klus - Automatica, 2019 - Elsevier
We present a new framework for optimal and feedback control of PDEs using Koopman
operator-based reduced order models (K-ROMs). The Koopman operator is a linear but …

Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations

G Stabile, G Rozza - Computers & Fluids, 2018 - Elsevier
In this work a stabilised and reduced Galerkin projection of the incompressible unsteady
Navier–Stokes equations for moderate Reynolds number is presented. The full-order model …