dc.creator | Azaïez, Mejdi | es |
dc.creator | Chacón Rebollo, Tomás | es |
dc.creator | Rubino, Samuele | es |
dc.date.accessioned | 2022-10-28T10:38:33Z | |
dc.date.available | 2022-10-28T10:38:33Z | |
dc.date.issued | 2021-01-15 | |
dc.identifier.citation | Azaïez, M., Chacón Rebollo, T. y Rubino, S. (2021). A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations. Journal of Computational Physics, 425, 109916. https://doi.org/10.1016/j.jcp.2020.109916. | |
dc.identifier.issn | 0021-9991 | es |
dc.identifier.uri | https://hdl.handle.net/11441/138465 | |
dc.description.abstract | 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. | es |
dc.format | application/pdf | es |
dc.format.extent | 27 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Computational Physics, 425, 109916. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Finite element method | es |
dc.subject | Filtered advection stabilization | es |
dc.subject | A-posteriori stabilization | es |
dc.subject | Proper orthogonal decomposition | es |
dc.subject | Reduced order models | es |
dc.subject | Convection-dominated flows | es |
dc.title | A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.jcp.2020.109916 | es |
dc.identifier.doi | 10.1016/j.jcp.2020.109916 | es |
dc.contributor.group | Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales | es |
dc.journaltitle | Journal of Computational Physics | es |
dc.publication.volumen | 425 | es |
dc.publication.initialPage | 109916 | es |