Dual-mixed finite elements for the three-field Stokes model as a finite volume method on staggered grids

Handle URI:
http://hdl.handle.net/10754/625056
Title:
Dual-mixed finite elements for the three-field Stokes model as a finite volume method on staggered grids
Authors:
Kou, Jisheng; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
In this paper, a new three-field weak formulation for Stokes problems is developed, and from this, a dual-mixed finite element method is proposed on a rectangular mesh. In the proposed mixed methods, the components of stress tensor are approximated by piecewise constant functions or Q1 functions, while the velocity and pressure are discretized by the lowest-order Raviart-Thomas element and the piecewise constant functions, respectively. Using quadrature rules, we demonstrate that this scheme can be reduced into a finite volume method on staggered grid, which is extensively used in computational fluid mechanics and engineering.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Citation:
Kou J, Sun S (2017) Dual-mixed finite elements for the three-field Stokes model as a finite volume method on staggered grids. Procedia Computer Science 108: 2265–2274. Available: http://dx.doi.org/10.1016/j.procs.2017.05.093.
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Issue Date:
9-Jun-2017
DOI:
10.1016/j.procs.2017.05.093
Type:
Article
ISSN:
1877-0509
Additional Links:
http://www.sciencedirect.com/science/article/pii/S1877050917306361
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorKou, Jishengen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2017-06-19T09:21:45Z-
dc.date.available2017-06-19T09:21:45Z-
dc.date.issued2017-06-09en
dc.identifier.citationKou J, Sun S (2017) Dual-mixed finite elements for the three-field Stokes model as a finite volume method on staggered grids. Procedia Computer Science 108: 2265–2274. Available: http://dx.doi.org/10.1016/j.procs.2017.05.093.en
dc.identifier.issn1877-0509en
dc.identifier.doi10.1016/j.procs.2017.05.093en
dc.identifier.urihttp://hdl.handle.net/10754/625056-
dc.description.abstractIn this paper, a new three-field weak formulation for Stokes problems is developed, and from this, a dual-mixed finite element method is proposed on a rectangular mesh. In the proposed mixed methods, the components of stress tensor are approximated by piecewise constant functions or Q1 functions, while the velocity and pressure are discretized by the lowest-order Raviart-Thomas element and the piecewise constant functions, respectively. Using quadrature rules, we demonstrate that this scheme can be reduced into a finite volume method on staggered grid, which is extensively used in computational fluid mechanics and engineering.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S1877050917306361en
dc.rightsUnder a Creative Commons licenseen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectStokes equationsen
dc.subjectthree-field modelen
dc.subjectmixed finite elementsen
dc.subjectstaggered griden
dc.titleDual-mixed finite elements for the three-field Stokes model as a finite volume method on staggered gridsen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, Chinaen
kaust.authorSun, Shuyuen
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