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Model Reduction for Compressible Flows using POD and Galerkin Projection 
Abstract 
We present a framework for applying the me … We present a framework for applying the method of Proper Orthogonal Decomposition
(POD) and Galerkin projection to compressible fluids. For incompressible flows,
only the kinematic variables are important, and the techniques are well known. In
a compressible flow, both the kinematic and thermodynamic variables are dynamically
important, and must be included in the configuration space. We introduce
an energybased inner product which may be used to obtain POD modes for this
configuration space. We then obtain an approximate version of the NavierStokes
equations, valid for cold flows at moderate Mach number, and project these equations
onto a POD basis. The resulting equations of motion are quadratic, and are
much simpler than projections of the full compressible NavierStokes equations. full compressible NavierStokes equations. +


Authors  Clarence W. Rowley, Tim Colonius, Richard M. Murray + 
ID  2002w + 
Source  <i>Physica D</i>, 189(12):115129 + 
Tag  rcm04physd + 
Title  Model Reduction for Compressible Flows using POD and Galerkin Projection + 
Type  Journal submission + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:18:49 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/rcm03physd.pdf + 
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Model Reduction for Compressible Flows using POD and Galerkin Projection +  Title 
