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.
https://hal.inria.fr/inria-00336177 Contributor : Michel BergmannConnect in order to contact the contributor Submitted on : Monday, November 3, 2008 - 10:11:42 AM Last modification on : Wednesday, February 2, 2022 - 3:53:28 PM Long-term archiving on: : Monday, June 7, 2010 - 8:54:43 PM
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⟩