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

[摘要] 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. (C) 2013 Elsevier B.V. All rights reserved.

[发布日期] 2014-11-01

[效力级别]  Proceedings Paper

[关键词] ROM-POD;Sensitivity;Parametric evolution;POD modes number;Error estimates;Navier-Stokes equations