Dynamic mode shaping for fluid flow control: New strategies for transient growth suppression

Maziar S. Hemati, Huaijin Yao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Abstract

Sub-critical transition to turbulence is often attributed to transient energy growth that arises from non-normality of the linearized Navier-Stokes operator. Here, we introduce a new dynamic mode shaping perspective for transient growth suppression that focuses on using feedback control to shape the spectral properties of the linearized flow. Specifically, we propose a dynamic mode matching strategy can be used to reduce non-normality and transient growth. We also propose a dynamic mode orthogonalization strategy that can be used to eliminate non-normality and fully suppress transient growth. We further formulate dynamic mode shaping strategies that aim to handle the practical challenges of high-dimensionality, nonlinearity, and uncertainty that are inherent to fluid flow control applications. Dynamic mode shaping methods are demonstrated on a number of simple illustrative examples that show the utility of this new perspective for transient growth suppression. The methods and perspectives introduced here will serve as a foundation for developing practical fluid flow control strategies in the future.

Original languageEnglish (US)
Title of host publication8th AIAA Theoretical Fluid Mechanics Conference, 2017
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624104978
DOIs
StatePublished - 2017
Event8th AIAA Theoretical Fluid Mechanics Conference, 2017 - Denver, United States
Duration: Jun 5 2017Jun 9 2017

Publication series

Name8th AIAA Theoretical Fluid Mechanics Conference, 2017

Other

Other8th AIAA Theoretical Fluid Mechanics Conference, 2017
CountryUnited States
CityDenver
Period6/5/176/9/17

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