AZAÏEZ, Mejdi; CHACÓN, Tomás; RUBINO, Samuele

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AZAÏEZ, Mejdi

CHACÓN, Tomás

RUBINO, Samuele

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Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2021-01-15

Elsevier

Résumé en anglais

In this paper, we propose to improve the stabilized POD-ROM introduced in [48] to deal with the numerical simulation of advection-dominated advection-diffusion-reaction equations. In particular, we propose a three-stage stabilizing strategy that will be very useful when considering very low diffusion coefficients, i.e. in the strongly advection-dominated regime. This approach mainly consists in three ingredients: (1) the addition of a "streamline diffusion" stabilization term to the governing projected equations, (2) the modification of the correlation matrix defining the POD modes associated to the advection stabilization term, and (3) an a-posteriori stabilization scheme. Numerical studies are performed to discuss the accuracy and performance of the new method in handling strongly advection-dominated cases.< Réduire

Mots clés en anglais

finite element method

filtered advection stabilization

a-posteriori stabiliza- tion

proper orthogonal decomposition

reduced order models

convection-dominated flows

URI

https://oskar-bordeaux.fr/handle/20.500.12278/75960

Projet Européen

Accurate Roms for Industrial Applications

Origine

Importé de hal

Unités de recherche

Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295