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: | Akkari N, Hamdouni A, Liberge E, Jazar M |
Keywords: | fluid models |
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.