Reduced-order modeling of channel flow using traveling POD and balanced POD

M. Ilak, C. W. Rowley

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

23 Scopus citations

Abstract

Reduced-order models of the flow in a plane channel flow are constructed in two regimes: a minimal flow unit in which turbulence is sustained, and a transitional flow linearized about the laminar profile. Proper orthogonal decomposition (POD) of data from a direct numerical simulation of a channel flow in a minimal flow unit is performed in order to examine the coherent structures and their dynamical interactions. Empirical basis functions are obtained both using Fourier modes in the streamwise and spanwise directions, with POD modes in the wall-normal direction, and using 3D (non-Fourier) POD modes that can translate in the streamwise direction (traveling modes). Traveling modes capture more energy than standard Fourier-POD for the same number of modes. In addition, models of a channel flow linearized about a laminar profile are constructed using both POD and balanced POD, an approximation to balanced truncation that is tractable for very large systems. Balanced POD models significantly outperform standard POD, especially at including the effects of actuation.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 3rd AIAA Flow Control Conference
Pages864-874
Number of pages11
StatePublished - Dec 11 2006
Event3rd AIAA Flow Control Conference - San Francisco, CA, United States
Duration: Jun 5 2006Jun 8 2006

Publication series

NameCollection of Technical Papers - 3rd AIAA Flow Control Conference
Volume2

Other

Other3rd AIAA Flow Control Conference
CountryUnited States
CitySan Francisco, CA
Period6/5/066/8/06

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Ilak, M., & Rowley, C. W. (2006). Reduced-order modeling of channel flow using traveling POD and balanced POD. In Collection of Technical Papers - 3rd AIAA Flow Control Conference (pp. 864-874). (Collection of Technical Papers - 3rd AIAA Flow Control Conference; Vol. 2).