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Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation
dc.contributor.author | Moreno Martínez, Laura |
dc.contributor.author | Codina, Ramon |
dc.contributor.author | Baiges Aznar, Joan |
dc.contributor.author | Castillo, Ernesto |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Anàlisi Estructural |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2020-04-24T13:27:57Z |
dc.date.available | 2021-06-19T00:34:48Z |
dc.date.issued | 2019-09 |
dc.identifier.citation | Moreno, L. [et al.]. Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation. "Computer methods in applied mechanics and engineering", Setembre 2019, vol. 354, p. 706-731. |
dc.identifier.issn | 0045-7825 |
dc.identifier.other | https://deca.upc.edu/en/people/ramon.codina/publications-1/articles-in-journals/artweb154-pp.pdf |
dc.identifier.uri | http://hdl.handle.net/2117/185034 |
dc.description.abstract | The log-conformation reformulation, originally proposed by Fattal and Kupferman (2004), allows computing incompressible viscoelastic problems with high Weissenberg numbers which are impossible to solve with the typical three-field formulation. By following this approach, in this work we develop a new stabilized finite element formulation based on the logarithmic reformulation using the Variational Multiscale (VMS) method as stabilization technique, together with a modified log-conformation formulation. Our approach follows the term-by-term stabilization proposed by Castillo and Codina (2014) for the standard formulation, which is more effective when there are stress singularities. The formulation can be used when the relaxation parameter is set to zero, and permits a direct steady numerical resolution. The formulation is validated in the classical benchmark flow past a cylinder and in the well-known planar contraction 4:1, achieving very accurate, stable and mesh independent results for highly elastic fluids. |
dc.description.sponsorship | L. Moreno acknowledges the support received from the Spanish Governement through a predoctoral FPI Grant. R. Codina acknowledges the support received from the ICREA Academia Research Program of the Catalan Government. J. Baiges acknowledges the support of the Spanish Government through the Ramon y Cajal grant RYC-2015-17367. E Castillo acknowledges the support of the Chilean Council for Scientific and Technological Research through the project CONICYT-FONDECYT 11160160. This work is partially funded through the ELASTIC-FLOW project, Ref. DPI2015-67857-R of the Spanish Government. |
dc.format.extent | 26 p. |
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::Física::Física de fluids::Flux de fluids |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Fluid dynamics--Mathematical models |
dc.subject.other | Viscoelastic fluids |
dc.subject.other | Log-conformation |
dc.subject.other | Stabilized finite element methods |
dc.subject.other | Multiscale |
dc.subject.other | Contraction 4:1 |
dc.subject.other | Flow around a cylinder |
dc.title | Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation |
dc.type | Article |
dc.subject.lemac | Dinàmica de fluids -- Models matemàtics |
dc.contributor.group | Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica |
dc.identifier.doi | 10.1016/j.cma.2019.06.001 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0045782519303330 |
dc.rights.access | Open Access |
local.identifier.drac | 25312744 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//DPI2015-67857-R/ES/AUMENTO DE LA EFICIENCIA EN PROCESOS DE MEZCLA Y TRANSMISION DE CALOR UTILIZANDO FLUIDOS VISCOELASTICOS EN REGIMEN LAMINAR Y TURBULENTO./ |
local.citation.author | Moreno, L.; Codina, R.; Baiges, J.; Castillo, E. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 354 |
local.citation.startingPage | 706 |
local.citation.endingPage | 731 |
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