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Improvement of Reduced Order Modeling based on Proper Orthogonal Decomposition

Michel Bergmann 1, 2, * Charles-Henri Bruneau 1, 2 Angelo Iollo 1, 2
* Corresponding author
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
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.
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Submitted on : Monday, November 3, 2008 - 10:11:42 AM
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Michel Bergmann, Charles-Henri Bruneau, Angelo Iollo. Improvement of Reduced Order Modeling based on Proper Orthogonal Decomposition. The Fifth International Conference on Computational Fluid Dynamics, Jul 2008, Séoul, South Korea. ⟨inria-00336177⟩

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