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FIC–FEM formulation for the multidimensional transient advection–diffusion–absorption equation
dc.contributor.author | Puigferrat Pérez, Albert |
dc.contributor.author | Pouplana Sarda, Ignasi de |
dc.contributor.author | Oñate Ibáñez de Navarra, Eugenio |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Enginyeria Civil |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2020-06-04T11:31:08Z |
dc.date.available | 2022-03-21T01:29:57Z |
dc.date.issued | 2020-06 |
dc.identifier.citation | Puigferrat, 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.identifier.issn | 0045-7825 |
dc.identifier.other | https://www.scipedia.com/public/Puigferrat_et_al_2020a# |
dc.identifier.uri | http://hdl.handle.net/2117/189994 |
dc.description.abstract | In 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.sponsorship | This 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.language.iso | eng |
dc.rights | © 2019. Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject | Àrees temàtiques de la UPC::Física::Física de fluids |
dc.subject.lcsh | Fluid dynamics--Mathematical models |
dc.subject.other | Advection–diffusion–absorption |
dc.subject.other | Transient solution |
dc.subject.other | Multidimensional |
dc.subject.other | Finite element method |
dc.subject.other | Finite increment calculus |
dc.subject.other | FIC |
dc.title | FIC–FEM formulation for the multidimensional transient advection–diffusion–absorption equation |
dc.type | Article |
dc.subject.lemac | Dinàmica de fluids -- Models matemàtics |
dc.contributor.group | Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria |
dc.identifier.doi | 10.1016/j.cma.2020.112984 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0045782520301675 |
dc.rights.access | Open Access |
local.identifier.drac | 28440440 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/BIA2017-83805-R/ES/METODOS NUMERICOS AVANZADOS PARA EL ESTUDIO DE ESTRUCTURAS CIVILES FRENTE A FLUJOS DE AGUA EXTREMOS/ |
local.citation.author | Puigferrat, A.; De Pouplana, I.; Oñate, E. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 365 |
local.citation.startingPage | 112984:1 |
local.citation.endingPage | 112984:22 |
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