dc.creator | Chacón Rebollo, Tomás | es |
dc.creator | Delgado Ávila, Enrique | es |
dc.creator | Gómez Mármol, María Macarena | es |
dc.creator | Ballarin, Francesco | es |
dc.creator | Rozza, Gianluigi | es |
dc.date.accessioned | 2018-01-30T07:54:30Z | |
dc.date.available | 2018-01-30T07:54:30Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Chacón Rebollo, T., Delgado Ávila, E., Gómez Mármol, M.M., Ballarin, F. y Rozza, G. (2017). On a certified Smagorinsky reduced basis turbulence model. SIAM Journal on Numerical Analysis, 55 (6), 3047-3067. | |
dc.identifier.issn | 0036-1429 | es |
dc.identifier.issn | 1095-7170 | es |
dc.identifier.uri | https://hdl.handle.net/11441/69698 | |
dc.description.abstract | In this work we present a reduced basis Smagorinsky turbulence model for steady flows. We approximate the nonlinear eddy diffusion term using the empirical interpolation method (cf. [M. A. Grepl et al., ESAIM Math. Model. Numer. Anal., 41 (2007), pp. 575-605; Barrault et al., C. R. Acad. Sci. Paris Sér. I Math., 339 (2004), pp. 667-672]) and the velocity-pressure unknowns by
an independent reduced-basis procedure. This model is based upon an a posteriori error estimation for a Smagorinsky turbulence model. The theoretical development of the a posteriori error estimation is based on [S. Deparis, SIAM J. Sci. Comput., 46 (2008), pp. 2039-2067] and [A. Manzoni, ESAIM Math. Model. Numer. Anal., 48 (2014), pp. 1199-1226], according to the Brezzi-Rappaz-Raviart stability theory, and adapted for the nonlinear eddy diffusion term. We present some numerical tests, programmed in FreeFem++ (cf. [F. Hecht, J. Numer. Math., 20 (2012), pp. 251-265]), in which we
show a speedup on the computation by factor larger than 1000 in benchmark two-dimensional flows. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Numerical Analysis, 55 (6), 3047-3067. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Reduced basis method | es |
dc.subject | Empirical interpolation method | es |
dc.subject | A posteriori error estimation | es |
dc.subject | Steady Smagorinsky model | es |
dc.title | On a certified Smagorinsky reduced basis turbulence model | 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.projectID | MTM2015-64577-C2-1-R | es |
dc.relation.projectID | TD1307 | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/pdf/10.1137/17M1118233 | es |
dc.identifier.doi | 10.1137/17M1118233 | es |
dc.contributor.group | Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales | es |
idus.format.extent | 21 p. | es |
dc.journaltitle | SIAM Journal on Numerical Analysis | es |
dc.publication.volumen | 55 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 3047 | es |
dc.publication.endPage | 3067 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |