Enablers for robust POD models |
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Authors: | M Bergmann C-H Bruneau A Iollo |
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Institution: | INRIA Bordeaux Sud Ouest, Team MC2 and Institut de Mathématiques de Bordeaux, Université Bordeaux 1, UMR 5251 CNRS, 351, Cours de la Libération, 33405 Talence cedex, France |
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Abstract: | 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. |
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