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dc.contributor.authorPuigferrat Pérez, Albert
dc.contributor.authorPouplana Sarda, Ignasi de
dc.contributor.authorOñate Ibáñez de Navarra, Eugenio
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Enginyeria Civil
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationPuigferrat, A.; De Pouplana, I.; Oñate, E. FIC–FEM formulation for the multidimensional transient advection–diffusion–absorption equation. "Computer methods in applied mechanics and engineering", Juny 2020, vol. 365, p. 112984:1-112984:22.
dc.description.abstractIn this paper we present a stabilized FIC–FEM formulation for the multidimensional transient advection–diffusion–absorption equation. The starting point is the non-local form of the governing equations for the multidimensional transient advection–diffusion–absorption problems obtained via the Finite Increment Calculus (FIC) procedure. The FIC governing equations have a residual form that introduces a characteristic length vector that depends on streamline, absorption and shock capturing stabilization parameters, as well as on a characteristic element size that ensures a stabilized numerical solution using a standard Galerkin FEM. The value of the stabilization parameters is obtained as an extension of the steady-state form. The accuracy of the FIC–FEM formulation is verified in the solution of several transient advection–diffusion–absorption problems using regular meshes of 3-noded triangles and 4-noded quadrilaterals.
dc.description.sponsorshipThis research was partially funded by the PRECISE, Spain project (BIA2017-83805-R) of the National Research Plan of the Spanish Government. Support for this work was also provided from the Office for Naval Research Global (ONRG) of the US Navy through the NICE-SHIP project.The authors acknowledge financial support from the Spanish Ministry of Economy and Competitiveness through the Severo Ochoa Programme for Centres of Excellence in RTD (CEX2018-000797-S). We also acknowledge the financial support of the CERCA programme of the Generalitat de Catalunya (Spain).
dc.rights© 2019. Elsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subjectÀrees temàtiques de la UPC::Física::Física de fluids
dc.subject.lcshFluid dynamics--Mathematical models
dc.subject.otherTransient solution
dc.subject.otherFinite element method
dc.subject.otherFinite increment calculus
dc.titleFIC–FEM formulation for the multidimensional transient advection–diffusion–absorption equation
dc.subject.lemacDinàmica de fluids -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
local.citation.authorPuigferrat, A.; De Pouplana, I.; Oñate, E.
local.citation.publicationNameComputer methods in applied mechanics and engineering

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