A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM‐POD), for a 2D incompressible fluid flow

A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM‐POD), for a 2D incompressible fluid flow

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Article ID: iaor20141710
Volume: 270
Issue: 6
Start Page Number: 522
End Page Number: 530
Publication Date: Nov 2014
Journal: Journal of Computational and Applied Mathematics
Authors: , , ,
Keywords: fluid models
Abstract:

In this work, we present contributions concerning a mathematical study of the sensitivity of a reduced order model (ROM) by the proper orthogonal decomposition (POD) technique applied to a quasi‐linear parabolic equation. In particular, we apply our theoretical study to the Navier–Stokes equations for a 2D incompressible fluid flow. We present a numerical test of our theoretical result, for an unsteady fluid flow in a channel around a circular cylinder.

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