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Dynamical Models for Control of Cavity Oscillations 
Abstract 
We investigate nonlinear dynamical models … We investigate nonlinear dynamical models for self sustained
oscillations in the flow past a rectangular cavity. The models are
based on the method of Proper Orthogonal Decomposition (POD) and
Galerkin projection, and we introduce an inner product and formulation
of the equations of motion which enables one to use vectorvalued POD
modes for compressible flows. We obtain models between 3 and 20
states, which accurately describe both the shorttime and longtime
dynamics. This is a substantial improvement over previous models
based on scalarvalued POD modes,which capture the dynamics for short
time, but deviate for long time. for short
time, but deviate for long time. +


Authors  Clarence W.Rowley, Tim Colonius, Richard M.Murray + 
ID  2001e + 
Source  7th AIAA/CEAS Aeroacoustics Conference + 
Tag  rcm01ceas + 
Title  Dynamical Models for Control of Cavity Oscillations + 
Type  Conference Paper + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:19:17 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/rcm01ceas.pdf + 
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Dynamical Models for Control of Cavity Oscillations +  Title 
