BERGMANN, Michel; BRUNEAU, Charles-Henri; IOLLO, Angelo

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BERGMANN, Michel
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

BRUNEAU, Charles-Henri
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

IOLLO, Angelo
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

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Rapport

Ce document a été publié dans

2008p. 37

Résumé en anglais

This report focuses on improving the stability as well as the approximation properties of Reduced Order Models (ROM) 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 an 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.< Réduire

Mots clés en anglais

Proper Orthogonal Decomposition

Reduced Order Model

Stabilization

Functional subspace

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251