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

被引：14
作者：
Akkari, N. [1 ,2 ]
Hamdouni, A. [1 ]
Liberge, E. [1 ]
Jazar, M. [2 ]
机构：
[1] Univ La Rochelle, LaSIE Lab Engn Sci Environm, F-17042 La Rochelle 1, France
[2] Lebanese Univ, LaMA Lab Math & Applicat, Tripoli, Lebanon
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 270卷
关键词：
ROM-POD; Sensitivity; Parametric evolution; POD modes number; Error estimates; Navier-Stokes equations;
D O I：
10.1016/j.cam.2013.11.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：522 / 530
页数：9
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