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A second order characteristics finite element scheme for natural convection problems
dc.contributor.author | Benítez, Marta | |
dc.contributor.author | Bermúdez, Alfredo | |
dc.date.accessioned | 2024-02-06T15:23:39Z | |
dc.date.available | 2024-02-06T15:23:39Z | |
dc.date.issued | 2011-01-31 | |
dc.identifier.citation | Benítez, M., & Bermúdez, A. (2011). A second order characteristics finite element scheme for natural convection problems. Journal of computational and applied mathematics, 235(11), 3270-3284. https://doi.org/10.1016/j.cam.2011.01.007 | es_ES |
dc.identifier.issn | 0377-0427 | |
dc.identifier.issn | 1879-1778 (e-ISSN) | |
dc.identifier.uri | http://hdl.handle.net/2183/35441 | |
dc.description | Manuscript version accepted for publication | es_ES |
dc.description.abstract | [Abstract]: In this paper a second order characteristics finite element scheme is applied to the numerical solution of natural convection problems. Firstly, after recalling the mathe-matical model, a second order time discretization of the material time derivative is introduced. Next, fully discretized schemes are proposed by using finite element methods. Numer-cal results for the two-dimensional problem of buoyancy-driven flow in a square cavity with differentially heated side walls are given and compared with a reference solution. | es_ES |
dc.description.sponsorship | This research has been partially by Ministerio de Ciencia e Innovación (Spain) under research projects Consolider MATHEMATICA CSD2006-00032 and MTM2008- 02483. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/Plan Nacional de I+D+i 2008-2011/MTM2008-02483/ES/ANALISIS Y SIMULACION NUMERICA DE MODELOS MATEMATICOS CON APLICACIONES INDUSTRIALES | es_ES |
dc.relation | info:eu-repo/grantAgreement/MEC/Consolider-Ingenio/CSD2006-00032/ES/INGENIO-MATHEMATICA | es_ES |
dc.relation.uri | https://doi.org/10.1016/j.cam.2011.01.007 | es_ES |
dc.rights | © 2011. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/(opens in new tab/window) https://www.elsevier.com/about/policies-and-standards/sharing | es_ES |
dc.subject | Natural convection | es_ES |
dc.subject | Finite elements methods | es_ES |
dc.subject | Characteristics method | es_ES |
dc.subject | Lagrange-Galerkin methods | es_ES |
dc.title | A second order characteristics finite element scheme for natural convection problems | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
UDC.journalTitle | Journal of computational and applied mathematics | es_ES |
UDC.volume | 235 | es_ES |
UDC.issue | 11 | es_ES |
UDC.startPage | 3270 | es_ES |
UDC.endPage | 3284 | es_ES |
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