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Model Reduction for Flow Analysis and Control

Model Reduction for Flow Analysis and Control 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 range of techniques for analyzing such data, with the aim of extracting simplified models that capture the essential features of these flows, in order to gain insight into the flow physics, and potentially identify mechanisms for controlling these flows. We review well-developed techniques, such as proper orthogonal decomposition and Galerkin projection, and discuss more recent techniques developed for linear systems, such as balanced truncation and dynamic mode decomposition (DMD). We then discuss some of the methods available for nonlinear systems, with particular attention to the Koopman operator, an infinite-dimensional linear operator that completely characterizes the dynamics of a nonlinear system and provides an extension of DMD to nonlinear systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annual Review of Fluid Mechanics Annual Reviews

Model Reduction for Flow Analysis and Control

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References (135)

Publisher
Annual Reviews
Copyright
Copyright © 2017 by Annual Reviews. All rights reserved
ISSN
0066-4189
eISSN
1545-4479
DOI
10.1146/annurev-fluid-010816-060042
Publisher site
See Article on Publisher Site

Abstract

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 range of techniques for analyzing such data, with the aim of extracting simplified models that capture the essential features of these flows, in order to gain insight into the flow physics, and potentially identify mechanisms for controlling these flows. We review well-developed techniques, such as proper orthogonal decomposition and Galerkin projection, and discuss more recent techniques developed for linear systems, such as balanced truncation and dynamic mode decomposition (DMD). We then discuss some of the methods available for nonlinear systems, with particular attention to the Koopman operator, an infinite-dimensional linear operator that completely characterizes the dynamics of a nonlinear system and provides an extension of DMD to nonlinear systems.

Journal

Annual Review of Fluid MechanicsAnnual Reviews

Published: Jan 3, 2017

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