Mostra el registre d'ítem simple

dc.contributor.authorVillardi de Montlaur, Adeline de
dc.contributor.authorFernández Méndez, Sonia
dc.contributor.authorHuerta, Antonio
dc.contributor.otherEscola Politècnica Superior de Castelldefels
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2010-07-13T14:51:47Z
dc.date.available2010-07-13T14:51:47Z
dc.date.created2008-07
dc.date.issued2008-07
dc.identifier.citationMontlaur, A.; Fernandez, S.; Huerta, A. Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations. "International journal for numerical methods in fluids", Juliol 2008, vol. 57, núm. 9, p. 1071-1092.
dc.identifier.issn0271-2091
dc.identifier.urihttp://hdl.handle.net/2117/8152
dc.descriptionThis is the pre-peer reviewed version of the following article: Montlaur, A.; Fernandez, S.; Huerta, A. Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations. "International journal for numerical methods in fluids", Juliol 2008, vol. 57, núm. 9, p. 1071-1092., which has been published in final form at http://www3.interscience.wiley.com/journal/117953707/abstract?CRETRY=1&SRETRY=0
dc.description.abstractA discontinuous Galerkin (DG) method with solenoidal approximation for the simulation of incompressible flow is proposed. It is applied to the solution of the Stokes equations. The interior penalty method is employed to construct the DG weak form. For every element, the approximation space for the velocity field is decomposed as the direct sum of a solenoidal space and an irrotational space. This allows to split the DG weak form into two uncoupled problems: the first one solves for the velocity and the hybrid pressure (pressure along the mesh edges) and the second one allows the computation of the pressure in the element interior. Furthermore, the introduction of an extra penalty term leads to an alternative DG formulation for the computation of solenoidal velocities with no presence of pressure terms. Pressure can then be computed as a post-process of the velocity solution. Numerical examples demonstrate the applicability of the proposed methodologies.
dc.format.extent22 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshGalerkin methods
dc.subject.lcshStokes equations
dc.titleDiscontinuous Galerkin methods for the Stokes equations using divergence-free approximations
dc.typeArticle
dc.subject.lemacGalerkin, Mètodes de
dc.subject.lemacEquacions de Navier-Stokes
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1002/fld.1716
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
drac.iddocument672739
dc.description.versionPostprint (author’s final draft)
upcommons.citation.authorMontlaur, A.; Fernandez, S.; Huerta, A.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameInternational journal for numerical methods in fluids
upcommons.citation.volume57
upcommons.citation.number9
upcommons.citation.startingPage1071
upcommons.citation.endingPage1092


Fitxers d'aquest items

Thumbnail

Aquest ítem apareix a les col·leccions següents

Mostra el registre d'ítem simple

Tots els drets reservats. Aquesta obra està protegida pels drets de propietat intel·lectual i industrial corresponents. Sense perjudici de les exempcions legals existents, queda prohibida la seva reproducció, distribució, comunicació pública o transformació sense l'autorització del titular dels drets