Reduced order modeling of a dielectric barrier discharge controlled mixing layer using minimum basis rotations

John A. Chabot, Edgar J. Caraballo, Jesse C Little

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

Abstract

This work focuses on the development of reduced order models for flow control application in a mixing layer. Reduced order models are obtain by applying the Proper Orthogonal Decomposition (POD) method to empirical data sets of the baseline and open loop forced mixing layer to determine the spatial basis of the flow. The forcing is introduced using dielectric barrier discharge (DBD) plasma actuators. The time evolution of the modal amplitude for the models are obtained by a Galerkin Projection of the Navier-Stoke (NS) equations on the spatial basis (POD Modes). This POD-Galerkin based model has well known tendencies to produce models that vastly over predict turbulent kinetic energy in the flow. Several eddy-viscosity models, as well a basis transformation, are simulated in multiple combinations to elicit trends in effectiveness. The results indicate that models derived from lower order POD modes tend to show more accurate results in terms of both frequency spectrum and predicted energy. Additionally, nonlinear scaling of eddy viscosity terms and the basis transformation show improvement over simple linear correctors.

Original languageEnglish (US)
Title of host publication45th AIAA Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624103629
StatePublished - 2015
Event45th AIAA Fluid Dynamics Conference, 2015 - Dallas, United States
Duration: Jun 22 2015Jun 26 2015

Other

Other45th AIAA Fluid Dynamics Conference, 2015
CountryUnited States
CityDallas
Period6/22/156/26/15

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Decomposition
Viscosity
Flow control
Kinetic energy
Navier Stokes equations
Actuators
Plasmas

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Aerospace Engineering

Cite this

Chabot, J. A., Caraballo, E. J., & Little, J. C. (2015). Reduced order modeling of a dielectric barrier discharge controlled mixing layer using minimum basis rotations. In 45th AIAA Fluid Dynamics Conference American Institute of Aeronautics and Astronautics Inc, AIAA.

Reduced order modeling of a dielectric barrier discharge controlled mixing layer using minimum basis rotations. / Chabot, John A.; Caraballo, Edgar J.; Little, Jesse C.

45th AIAA Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 2015.

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

Chabot, JA, Caraballo, EJ & Little, JC 2015, Reduced order modeling of a dielectric barrier discharge controlled mixing layer using minimum basis rotations. in 45th AIAA Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 45th AIAA Fluid Dynamics Conference, 2015, Dallas, United States, 6/22/15.
Chabot JA, Caraballo EJ, Little JC. Reduced order modeling of a dielectric barrier discharge controlled mixing layer using minimum basis rotations. In 45th AIAA Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA. 2015
Chabot, John A. ; Caraballo, Edgar J. ; Little, Jesse C. / Reduced order modeling of a dielectric barrier discharge controlled mixing layer using minimum basis rotations. 45th AIAA Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 2015.
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