HAL - INRIA :: [inria-00336177, version 1] Improvement of Reduced Order Modeling based on Proper Orthogonal Decomposition

inria-00336177, version 1

Improvement of Reduced Order Modeling based on Proper Orthogonal Decomposition

Michel Bergmann ( Author to contact preferably ) ^1, 2, Charles-Henri Bruneau ^1, 2, Angelo Iollo () ^1, 2

The Fifth International Conference on Computational Fluid Dynamics (2008)

Abstract: This study focuses on stabilizing Reduced Order Model based on Proper Orthogonal Decomposition (POD) and on improving the POD functional subspace. A modified reduced order model (ROM) that incorporates directly the pressure term is proposed. The ROM is obtained by seeking a solution that lives in the POD subspace and at the same time minimizes the Navier-Stokes residuals. Both ROM stabilization and POD subspace adaptation make use of methods based on the fine scale equation that is approximated using the residuals of the Navier-Sokes equations. Results are shown for the 2D confined cylinder wake flow.

1: Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2: MC2 (INRIA Bordeaux - Sud-Ouest)
INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR

inria-00336177, version 1
http://hal.inria.fr/inria-00336177
oai:hal.inria.fr:inria-00336177
From: Michel Bergmann <>
Submitted on: Monday, 3 November 2008 10:11:42
Updated on: Monday, 3 November 2008 15:44:09

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