dc.contributor
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
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Universitat Politècnica de Catalunya. Doctorat en Anàlisi Estructural
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Centre Internacional de Mètodes Numèrics en Enginyeria
dc.contributor
Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica
dc.contributor.author
Codina, Ramon
dc.contributor.author
Moreno Martínez, Laura
dc.identifier
Codina, R.; Moreno, L. Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem. "ESAIM. Mathematical modeling and numerical analysis. Modelisation mathématique", Febrer 2021, vol. 55, núm. S1, p. S279-S300.
dc.identifier
https://hdl.handle.net/2117/347381
dc.identifier
10.1051/m2an/2020038
dc.description.abstract
In this paper we present the numerical analysis of a finite element method for a linearized viscoelastic flow problem. In particular, we analyze a linearization of the logarithmic reformulation of the problem, which in particular should be able to produce results for Weissenberg numbers higher than the standard one. In order to be able to use the same interpolation for all the unknowns (velocity, pressure and logarithm of the conformation tensor), we employ a stabilized finite element formulation based on the Variational Multi-Scale concept. The study of the linearized problem already serves to show why the logarithmic reformulation performs better than the standard one for high Weissenberg numbers; this is reflected in the stability and error estimates that we provide in this paper.
dc.description.abstract
R. Codina gratefully acknowledges the support received from the ICREA Acad`emia Program, from the Catalan Government. L. Moreno acknowledges the support received from the Spanish Government through a predoctoral FPI Grant.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (published version)
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application/pdf
dc.relation
https://www.esaim-m2an.org/articles/m2an/abs/2021/01/m2an200037/m2an200037.html
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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Àrees temàtiques de la UPC::Física::Física de fluids
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Viscoelasticity--Mathematical models
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Stabilized finite element methods
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Viscoelastic fluids
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Logarithm reformulation
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High Weissenberg number problem
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Viscoelasticitat -- Models matemàtics
dc.title
Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem
