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Numerical methods for low-order modeling of fluid flows based on POD

Jessie Weller 1, 2 Edoardo Lombardi 1, 2 Michel Bergmann 1, 2, * Angelo Iollo 1, 2
* Corresponding author
1 MC2 - Modélisation, contrôle et calcul
CNRS - Centre National de la Recherche Scientifique : UMR5251, UB - Université de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : This report explores some numerical alternatives that can be exploited to derive efficient low-order models of the Navier-Stokes equations. It is shown that an optimal solution sampling can be derived using appropriate norms of the Navier-Stokes residuals. Then the classical Galerkin approach is derived in the context of a residual minimization method that is similar to variational multiscale modeling. Finally, calibration techniques are reviewed and applied to the computation of unsteady aerodynamic forces. Examples pertaining to both non-actuated and actuated flows are shown.
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https://hal.inria.fr/inria-00345184
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Submitted on : Monday, December 8, 2008 - 3:18:10 PM
Last modification on : Thursday, February 11, 2021 - 2:54:02 PM
Long-term archiving on: : Tuesday, June 28, 2011 - 6:13:55 PM

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Jessie Weller, Edoardo Lombardi, Michel Bergmann, Angelo Iollo. Numerical methods for low-order modeling of fluid flows based on POD. [Research Report] RR-6758, INRIA. 2008, pp.23. ⟨inria-00345184⟩

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