Abstract
We develop a collection of reduced-order models for fluid systems that operate under time-varying flow and actuation parameters. A switched dynamical system is formulated that is a combination of reduced-order models valid for specific parametric subspaces and discrete switching logic. An open-loop simulation of the switched dynamical system on a two-sided driven cavity demonstrates the system’s ability to capture the evolution of the flow and input parameters in the full-order model.
This research was conducted while the author held a National Research Council (NRC) Research Associateship at the U. S. Air Force Research Laboratory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Burns, J.A., King, B.B., Rubio, D.: On the design of feedback controllers for a convecting fluid flow via reduced order modeling. In: Proceedings of IEEE International Conference on Control Applications, Kohala Coast, Hawai’i (1999).
Ravindran, S.S.: Reduced-order adaptive controllers for fluid flows using POD. Journal of Scientific Computing 15(4) (2000) 457–478.
Fahl, M.: Trust-region methods for flow control based on reduced-order modeling. PhD Thesis, Universität Trier, Germany (December 2000).
Jørgensen, B.H., Sørensen, J.N., Brøns, M.: Low-dimensional modeling of a driven cavity flow with two free parameters. Theoretical and Computational Fluid Dynamics 16 (2003) 299–317.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer
About this paper
Cite this paper
Hamilton, H.H., Kurdila, A.J., Jammulamadaka, A.K. (2008). A Switched Reduced-Order Dynamical System for Fluid Flows under Time-Varying Flow Conditions. In: Morrison, J.F., Birch, D.M., Lavoie, P. (eds) IUTAM Symposium on Flow Control and MEMS. IUTAM Bookseries, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6858-4_41
Download citation
DOI: https://doi.org/10.1007/978-1-4020-6858-4_41
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6857-7
Online ISBN: 978-1-4020-6858-4
eBook Packages: EngineeringEngineering (R0)