Finite element approximation of the viscoelastic flow problem: A non-residual based stabilized formulation.
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| Title: | Finite element approximation of the viscoelastic flow problem: A non-residual based stabilized formulation. |
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| Authors: | Castillo, E.1,2 ernesto.castillode@usach.cl, Codina, R.2,3 ramon.codina@upc.edu |
| Source: | Computers & Fluids. Jan2017, Vol. 142, p72-78. 7p. |
| Subjects: | Finite element method, Approximation theory, Interpolation algorithms, Viscoelastic materials, Viscoelasticity |
| Abstract: | In this paper, a three-field finite element stabilized formulation for the incompressible viscoelastic fluid flow problem is tested numerically. Starting from a residual based formulation, a non-residual based one is designed, the benefits of which are highlighted in this work. Both formulations allow one to deal with the convective nature of the problem and to use equal interpolation for the problem unknowns σ − u − p (deviatoric stress, velocity and pressure). Additionally, some results from the numerical analysis of the formulation are stated. Numerical examples are presented to show the robustness of the method, which include the classical 4: 1 planar contraction problem and the flow over a confined cylinder case, as well as a two-fluid formulation for the planar jet buckling problem. [ABSTRACT FROM AUTHOR] |
| Copyright of Computers & Fluids is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 119928597 AccessLevel: 6 PubType: Periodical PubTypeId: serialPeriodical PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Finite element approximation of the viscoelastic flow problem: A non-residual based stabilized formulation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Castillo%2C+E%2E%22">Castillo, E.</searchLink><relatesTo>1,2</relatesTo><i> ernesto.castillode@usach.cl</i><br /><searchLink fieldCode="AR" term="%22Codina%2C+R%2E%22">Codina, R.</searchLink><relatesTo>2,3</relatesTo><i> ramon.codina@upc.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computers+%26+Fluids%22">Computers & Fluids</searchLink>. Jan2017, Vol. 142, p72-78. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation+algorithms%22">Interpolation algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelastic+materials%22">Viscoelastic materials</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelasticity%22">Viscoelasticity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, a three-field finite element stabilized formulation for the incompressible viscoelastic fluid flow problem is tested numerically. Starting from a residual based formulation, a non-residual based one is designed, the benefits of which are highlighted in this work. Both formulations allow one to deal with the convective nature of the problem and to use equal interpolation for the problem unknowns σ − u − p (deviatoric stress, velocity and pressure). Additionally, some results from the numerical analysis of the formulation are stated. Numerical examples are presented to show the robustness of the method, which include the classical 4: 1 planar contraction problem and the flow over a confined cylinder case, as well as a two-fluid formulation for the planar jet buckling problem. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computers & Fluids is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.compfluid.2016.07.012 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 72 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Interpolation algorithms Type: general – SubjectFull: Viscoelastic materials Type: general – SubjectFull: Viscoelasticity Type: general Titles: – TitleFull: Finite element approximation of the viscoelastic flow problem: A non-residual based stabilized formulation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Castillo, E. – PersonEntity: Name: NameFull: Codina, R. IsPartOfRelationships: – BibEntity: Dates: – D: 05 M: 01 Text: Jan2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 00457930 Numbering: – Type: volume Value: 142 Titles: – TitleFull: Computers & Fluids Type: main |
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