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 …

[BOOK][B] Dynamic mode decomposition: data-driven modeling of complex systems

The integration of data and scientific computation is driving a paradigm shift across the
engineering, natural, and physical sciences. Indeed, there exists an unprecedented …

Dynamic mode decomposition with control

JL Proctor, SL Brunton, JN Kutz - SIAM Journal on Applied Dynamical Systems, 2016 - SIAM
We develop a new method which extends dynamic mode decomposition (DMD) to
incorporate the effect of control to extract low-order models from high-dimensional, complex …

Data-driven sparse sensor placement for reconstruction: Demonstrating the benefits of exploiting known patterns

K Manohar, BW Brunton, JN Kutz… - IEEE Control Systems …, 2018 - ieeexplore.ieee.org
Optimal sensor and actuator placement is an important unsolved problem in control theory.
Nearly every downstream control decision is affected by these sensor and actuator …

Generalizing Koopman theory to allow for inputs and control

JL Proctor, SL Brunton, JN Kutz - SIAM Journal on Applied Dynamical Systems, 2018 - SIAM
We develop a new generalization of Koopman operator theory that incorporates the effects
of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of …

A kernel-based approach to data-driven Koopman spectral analysis

MO Williams, CW Rowley, IG Kevrekidis - arxiv preprint arxiv:1411.2260, 2014 - arxiv.org
A data driven, kernel-based method for approximating the leading Koopman eigenvalues,
eigenfunctions, and modes in problems with high dimensional state spaces is presented …

CNN-LSTM based reduced order modeling of two-dimensional unsteady flows around a circular cylinder at different Reynolds numbers

K Hasegawa, K Fukami, T Murata… - Fluid Dynamics …, 2020 - iopscience.iop.org
We investigate the capability of machine learning (ML) based reduced order model (ML-
ROM) for two-dimensional unsteady flows around a circular cylinder at different Reynolds …

An improved criterion to select dominant modes from dynamic mode decomposition

J Kou, W Zhang - European Journal of Mechanics-B/Fluids, 2017 - Elsevier
Dynamic mode decomposition (DMD) has been extensively utilized to analyze the coherent
structures in many complex flows. Although specific flow patterns with dominant frequency …

Data-driven modal decomposition of transient cavitating flow

Y Liu, J Long, Q Wu, B Huang, G Wang - Physics of Fluids, 2021 - pubs.aip.org
The objective of this paper is to identify the dominant coherent structures within cavitating
flow around a Clark-Y hydrofoil using two data-driven modal decomposition methods, proper …