Enablers for robust POD models

JOURNAL OF COMPUTATIONAL PHYSICS

卷:228

Article

Bergmann, M.¹ 

[1] Univ Bordeaux 1, Team MC2, INRIA Bordeaux Sud Ouest, F-33405 Talence, France

关键词: Proper orthogonal decomposition;    Reduced order model;    Stabilization;    Functional subspace improvement;   

DOI  :  10.1016/j.jcp.2008.09.024

来源: Elsevier

【 摘 要 】

This paper focuses on improving the stability as well as the approximation properties of reduced order models (ROMs) based on proper orthogonal decomposition (POD). The ROM is obtained by seeking a solution belonging to the POD subspace and that at the same time minimizes the Navier-Stokes residuals. We propose a modified ROM that directly incorporates the pressure term in the model. The ROM is then stabilized making use of a method based on the fine scale equations. An improvement of the POD solution subspace is performed, thanks to a hybrid method that couples direct numerical simulations and reduced order model simulations. The methods proposed are tested on the two-dimensional confined square cylinder wake flow in laminar regime. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free