NDLI: Obtaining regional dynamical models for flow control using wavelet transform

Content Provider	IEEE Xplore Digital Library
Author	Erbil, T.N. Kasnakoglu, C.
Copyright Year	2009
Description	Author affiliation: Electrical and Electronics Engineering Department, TOBB Economics and Technology University, Sö¿ütözü, Ankara 06560, Turkey (Erbil, T.N.; Kasnakoglu, C.)
Abstract	In this paper, we utilize wavelet transform to obtain dynamical models describing the behavior of fluid flow in a local spatial region of interest. First, snapshots of the flow are obtained from experiments or from computational fluid dynamics (CFD) simulations of the governing equations. A wavelet family and decomposition level is selected by assessing the reconstruction success under the resulting inverse transform. The flow is then expanded onto a set of basis vectors which are constructed from the wavelet function. The wavelet coefficients associated with the basis vectors capture the time variation of the flow within the spatial region covered by the support of basis vectors. A dynamical model is established for these coefficients by using subspace identification methods. The approach developed is applied to a sample flow configuration on a square domain where the input affects the system through the boundary conditions. It is observed that there is good agreement between CFD simulation results and the predictions of the dynamical model. A controller is designed based on the dynamical model and is seen to be successful in regulating the velocity of a given point within the region of interest.
Starting Page	576
Ending Page	581
File Size	625013
Page Count	6
File Format	PDF
ISBN	9781424446841
DOI	10.1109/MED.2009.5164604
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-24
Publisher Place	Greece
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet transforms Fluid flow control Computational fluid dynamics Computational modeling Fluid flow wavelet transform Predictive models Boundary conditions flow control Equations Wavelet coefficients Velocity control regional dynamic modeling
Content Type	Text
Resource Type	Article

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