AZAÏEZ, Mejdi; CHACÓN REBOLLO, Tomás; RUBINO, Samuele

doi:10.1016/j.jcp.2020.109916

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AZAÏEZ, Mejdi
Institut de Mécanique et d'Ingénierie [I2M]

CHACÓN REBOLLO, Tomás

RUBINO, Samuele

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Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2020-10-01, vol. 425, p. 109916

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 stabilization

Proper orthogonal decomposition

Reduced order models

Convection-dominated flows

URI

https://oskar-bordeaux.fr/handle/20.500.12278/124257

DOI

http://dx.doi.org/10.1016/j.jcp.2020.109916

Project ANR

Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003

Unités de recherche

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