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2022-10-05T01:29:00+00:00
Model Reduction for Compressible Flows using POD and Galerkin Projection
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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 energy-based inner product which may be used to obtain POD modes for this
configuration space. We then obtain an approximate version of the Navier-Stokes
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 Navier-Stokes equations.
Clarence W. Rowley, Tim Colonius, Richard M. Murray
2002w
<i>Physica D</i>, 189(1�2):115�129
rcm04-physd
Journal submission
2016-05-15T06:18:49Z
2457523.7630671
Model Reduction for Compressible Flows using POD and Galerkin Projection
Title
102
en
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