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dc.contributor.authorPrincipe, Ricardo Javier
dc.contributor.authorCodina, Ramon
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.identifier.citationPrincipe, R.; Codina, R. On the stabilization parameter in the subgrid scale approximation of scalar convection-diffusion-reaction equations on distorted meshes. "Computer methods in applied mechanics and engineering", 01 Abril 2010, vol. 199, núm. 21-22, p. 1386-1402.
dc.description.abstractIn this paper we revisit the definition of the stabilization parameter in the finite element approximation of the convection–diffusion–reaction equation. The starting point is the decomposition of the unknown into its finite element component and a subgrid scale that needs to be approximated. In order to incorporate the distortion of the mesh into this approximation, we transform the equation for the subgrid scale within each element to the shape-regular reference domain. The expression for the subgrid scale arises from an approximate Fourier analysis and the identification of the wave number direction where instabilities are most likely to occur. The final outcome is an expression for the stabilization parameter that accounts for anisotropy and the dominance of either convection or reaction terms in the equation.
dc.format.extent17 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.titleOn the stabilization parameter in the subgrid scale approximation of scalar convection-diffusion-reaction equations on distorted meshes
dc.contributor.groupUniversitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
dc.description.peerreviewedPeer Reviewed
dc.subject.inspecDiffusion in liquids
dc.subject.inspecFourier analysis
dc.subject.inspecGene expression
dc.subject.inspecHeat convection
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
upcommons.citation.authorPrincipe, R.; Codina, R.
upcommons.citation.publicationNameComputer methods in applied mechanics and engineering

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