A low-order nonlinear model of a stalled airfoil from data: Exploiting sparse regression with physical constraints

A. Leonid Heide, Katherine J. Asztalos, Scott T.M. Dawson, Maziar S. Hemati

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


This work uses data-driven sparsity-promoting methods to obtain low-order governing equations for the wake of a stalled airfoil. Direct numerical simulation data of a NACA-0009 airfoil at an angle of attack of α = 15 is utilized in this study, with actuation being performed by injecting momentum into the flow near the airfoil’s leading edge. Proper Orthogonal Decomposition (POD) is used to obtain a reduced order representation of the flow field. The Sparse Identification of Nonlinear Dynamics (SINDy) framework is then implemented to obtain low-order quadratic governing equations for the flow over the stalled airfoil. The SINDy model is constrained to preserve the energy-conserving property of the quadratic nonlinear-ity and associated triadic energy-transfer mechanisms. Low-order nonlinear models of the unsteady flow field associated with the stalled airfoil are obtained and cross-validated using off-design data. Furthermore, an output equation that predicts the lift coefficient is also identified and cross-validated. These low-order nonlinear models are expected to facilitate future developments in model-based analysis and control of separated flows.

Original languageEnglish (US)
Title of host publicationAIAA AVIATION 2022 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624106354
StatePublished - 2022
EventAIAA AVIATION 2022 Forum - Chicago, United States
Duration: Jun 27 2022Jul 1 2022

Publication series

NameAIAA AVIATION 2022 Forum


ConferenceAIAA AVIATION 2022 Forum
Country/TerritoryUnited States

Bibliographical note

Funding Information:
This material is based upon work supported by the Air Force Office of Scientific Research under award number FA9550-21-1-0434.

Publisher Copyright:
© 2022, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.


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