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	<id>https://murray.cds.caltech.edu/index.php?action=history&amp;feed=atom&amp;title=Dynamical_Models_for_Control_of_Cavity_Oscillations</id>
	<title>Dynamical Models for Control of Cavity Oscillations - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://murray.cds.caltech.edu/index.php?action=history&amp;feed=atom&amp;title=Dynamical_Models_for_Control_of_Cavity_Oscillations"/>
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	<updated>2026-06-28T18:53:26Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Dynamical_Models_for_Control_of_Cavity_Oscillations&amp;diff=19962&amp;oldid=prev</id>
		<title>Murray: htdb2wiki: creating page for 2001e_rcm01-ceas.html</title>
		<link rel="alternate" type="text/html" href="https://murray.cds.caltech.edu/index.php?title=Dynamical_Models_for_Control_of_Cavity_Oscillations&amp;diff=19962&amp;oldid=prev"/>
		<updated>2016-05-15T06:19:17Z</updated>

		<summary type="html">&lt;p&gt;htdb2wiki: creating page for 2001e_rcm01-ceas.html&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{HTDB paper&lt;br /&gt;
| authors = Clarence W.Rowley, Tim Colonius, Richard M.Murray&lt;br /&gt;
| title = Dynamical Models for Control of Cavity Oscillations&lt;br /&gt;
| source = 7th AIAA/CEAS Aeroacoustics Conference&lt;br /&gt;
| year = 2001&lt;br /&gt;
| type =  Conference &lt;br /&gt;
  Paper&lt;br /&gt;
| funding = AFOSR&lt;br /&gt;
| url = http://www.cds.caltech.edu/~murray/preprints/rcm01-ceas.pdf&lt;br /&gt;
| abstract = &lt;br /&gt;
We investigate nonlinear dynamical models for self- sustained&lt;br /&gt;
oscillations in the flow past a rectangular cavity.  The models are&lt;br /&gt;
based on the method of Proper Orthogonal Decomposition (POD) and&lt;br /&gt;
Galerkin projection, and we introduce an inner product and formulation&lt;br /&gt;
of the equations of motion which enables one to use vector-valued POD&lt;br /&gt;
modes for compressible flows.  We obtain models between 3 and 20&lt;br /&gt;
states, which accurately describe both the short-time and long-time&lt;br /&gt;
dynamics.  This is a substantial improvement over previous models&lt;br /&gt;
based on scalar-valued POD modes,which capture the dynamics for short&lt;br /&gt;
time, but deviate for long time.&lt;br /&gt;
&lt;br /&gt;
| flags = &lt;br /&gt;
| tag = rcm01-ceas&lt;br /&gt;
| id = 2001e&lt;br /&gt;
}}&lt;/div&gt;</summary>
		<author><name>Murray</name></author>
	</entry>
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