A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations
| dc.rights.license | open | en_US |
| hal.structure.identifier | Institut de Mécanique et d'Ingénierie [I2M] | |
| dc.contributor.author | AZAÏEZ, Mejdi | |
| dc.contributor.author | CHACÓN REBOLLO, Tomás | |
| dc.contributor.author | RUBINO, Samuele | |
| dc.date.accessioned | 2021-12-21T09:31:34Z | |
| dc.date.available | 2021-12-21T09:31:34Z | |
| dc.date.issued | 2020-10-01 | |
| dc.identifier.issn | 0021-9991 | en_US |
| dc.identifier.uri | oai:crossref.org:10.1016/j.jcp.2020.109916 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/124257 | |
| 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.description.sponsorship | Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003 | en_US |
| dc.language.iso | EN | en_US |
| dc.source | crossref | |
| dc.subject.en | Finite element method | |
| dc.subject.en | Filtered advection stabilization | |
| dc.subject.en | A-posteriori stabilization | |
| 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 | en_US |
| dc.identifier.doi | 10.1016/j.jcp.2020.109916 | en_US |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Matériaux | en_US |
| bordeaux.journal | Journal of Computational Physics | en_US |
| bordeaux.page | 109916 | en_US |
| bordeaux.volume | 425 | en_US |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | Bordeaux INP | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.institution | INRAE | en_US |
| bordeaux.institution | Arts et Métiers | en_US |
| bordeaux.peerReviewed | oui | en_US |
| bordeaux.inpress | non | en_US |
| bordeaux.import.source | dissemin | |
| hal.identifier | hal-03498727 | |
| hal.version | 1 | |
| hal.date.transferred | 2021-12-21T09:31:37Z | |
| hal.export | true | |
| workflow.import.source | dissemin | |
| dc.rights.cc | Pas de Licence CC | en_US |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20Physics&rft.date=2020-10-01&rft.volume=425&rft.spage=109916&rft.epage=109916&rft.eissn=0021-9991&rft.issn=0021-9991&rft.au=AZA%C3%8FEZ,%20Mejdi&CHAC%C3%93N%20REBOLLO,%20Tom%C3%A1s&RUBINO,%20Samuele&rft.genre=article |
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