A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations
| dc.contributor.author | AZAÏEZ, Mejdi | |
| dc.contributor.author | CHACÓN, Tomás | |
| dc.contributor.author | RUBINO, Samuele | |
| dc.date.accessioned | 2021-05-14T09:32:24Z | |
| dc.date.available | 2021-05-14T09:32:24Z | |
| dc.date.issued | 2021-01-15 | |
| dc.identifier.issn | 0021-9991 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/75960 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | finite element method | |
| dc.subject.en | filtered advection stabilization | |
| dc.subject.en | a-posteriori stabiliza- tion | |
| dc.subject.en | proper orthogonal decomposition | |
| dc.subject.en | reduced order models | |
| dc.subject.en | convection-dominated flows | |
| dc.title.en | A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math] | |
| dc.description.sponsorshipEurope | Accurate Roms for Industrial Applications | |
| bordeaux.journal | Journal of Computational Physics | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03000327 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03000327v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20Physics&rft.date=2021-01-15&rft.eissn=0021-9991&rft.issn=0021-9991&rft.au=AZA%C3%8FEZ,%20Mejdi&CHAC%C3%93N,%20Tom%C3%A1s&RUBINO,%20Samuele&rft.genre=article |
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