Abstract
This paper studies a reduced-order model based on proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The difficulties resulting from nonlinearity are eliminated using the variational multiscale (VMS) method. The time filter is added as a separate post-processing step to the standard VMS-POD approximation. This increases the accuracy and presents a better energy preserving scheme without adding additional computational complexity. Theoretical analyses of the method are given. Numerical experiments are presented to verify the theoretical findings.
Publisher
Gazi University Journal of Science
Subject
Multidisciplinary,General Engineering
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