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Low-Dimensional Models for Control of Leading-Edge Vortices: Equilibria and Linearized Models

Ahuja, Sunil and Rowley, Clarence W. and Kevrekidis, Ioannis G. and Wei, Mingjun and Colonius, Tim and Tadmor, Gilead (2007) Low-Dimensional Models for Control of Leading-Edge Vortices: Equilibria and Linearized Models. In: 45th AIAA Aerospace Sciences Meeting and Exhibit, 8-11 January 2007, Reno, NV.

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When an airfoil is pitched up rapidly, a dynamic stall vortex forms at the leading edge and produces high transient lift before shedding and stall occur. The aim of this work is to develop low-dimensional models of the dynamics of these leading-edge vortices, which may be used to develop feedback laws to stabilize these vortices using closed-loop control, and maintain high lift. We first perform a numerical study of the two-dimensional incompressible flow past an airfoil at varying angles of attack, finding steady states using a timestepper-based Newton/GMRES scheme, and dominant eigenvectors using ARPACK. These steady states may be either stable or unstable; we develop models linearized about the stable steady states using a method called Balanced Proper Orthogonal Decomposition, an approximation of balanced truncation that is tractable for large systems. The balanced POD models dramatically outperform models using the standard POD/Galerkin procedure, and are used to develop observers that reconstruct the flow state from a single surface pressure measurement.

Item Type:Conference or Workshop Item (Paper)
Related URLs:
URLURL TypeDescription Paper Paper
Rowley, Clarence W.0000-0002-9099-5739
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2007 by the authors. Published by the American Institute of Aeronautics and Astronautics, Inc. with permission. Published Online: 18 Jun 2012. We gratefully acknowledge Sam Taira for help with the immersed boundary simulations, and Liang Qiao for help with timestepper based analysis of steady states. This research was supported by AFOSR, grants FA9550-05-1-0369 and FA9550-06-1-0371.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-05-1-0369
Air Force Office of Scientific Research (AFOSR)FA9550-06-1-0371
Subject Keywords:Aerospace Systems, Operations and Life Cycle
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Other Numbering System NameOther Numbering System ID
AIAA Paper2007-709
Record Number:CaltechAUTHORS:20190718-165125547
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97251
Deposited By: Melissa Ray
Deposited On:22 Jul 2019 18:26
Last Modified:16 Nov 2021 17:30

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