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.
https://hal.inria.fr/inria-00345184
Contributeur : Michel Bergmann
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Soumis le : lundi 8 décembre 2008 - 15:18:10
Dernière modification le : jeudi 11 janvier 2018 - 06:22:12
Document(s) archivé(s) le : mardi 28 juin 2011 - 18:13:55
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〉