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Article: Development of a finite element solution for the unsteady Navier-Stokes equations using projection method and fractional-θ-scheme

TitleDevelopment of a finite element solution for the unsteady Navier-Stokes equations using projection method and fractional-θ-scheme
Authors
KeywordsBackward-Facing Steps
Driven Cavity
Finite Element
Numerical Model
Square Cylinder
Issue Date2001
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods in Applied Mechanics and Engineering, 2001, v. 190 n. 32-33, p. 4301-4317 How to Cite?
AbstractA numerical model for computing non-stationary incompressible Navier-Stokes equations is developed and evaluated. The spatial domain is discretized by the consistent streamline upwind Petrov-Galerkin (SUPG) finite element method to stabilize the convection terms for high Reynolds number flow. The velocity-pressure formulation of the discretized problem is decoupled by the projection method. Moreover, the semi-discretized problem is integrated by the fractional-θ-scheme in the temporal domain. Finally, the resulting symmetric and non-symmetric linear problems are respectively, solved by the preconditioned conjugate gradient method and the preconditioned quasi minimal residual method. Numerical experiments for flows inside a driven cavity, over a backward-facing step and over a square cylinder were performed and compared with experimental measurements and other numerical results. © 2001 Elsevier Science B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156614
ISSN
2015 Impact Factor: 3.467
2015 SCImago Journal Rankings: 2.952
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, CHen_US
dc.contributor.authorLeung, DYCen_US
dc.date.accessioned2012-08-08T08:43:12Z-
dc.date.available2012-08-08T08:43:12Z-
dc.date.issued2001en_US
dc.identifier.citationComputer Methods in Applied Mechanics and Engineering, 2001, v. 190 n. 32-33, p. 4301-4317en_US
dc.identifier.issn0045-7825en_US
dc.identifier.urihttp://hdl.handle.net/10722/156614-
dc.description.abstractA numerical model for computing non-stationary incompressible Navier-Stokes equations is developed and evaluated. The spatial domain is discretized by the consistent streamline upwind Petrov-Galerkin (SUPG) finite element method to stabilize the convection terms for high Reynolds number flow. The velocity-pressure formulation of the discretized problem is decoupled by the projection method. Moreover, the semi-discretized problem is integrated by the fractional-θ-scheme in the temporal domain. Finally, the resulting symmetric and non-symmetric linear problems are respectively, solved by the preconditioned conjugate gradient method and the preconditioned quasi minimal residual method. Numerical experiments for flows inside a driven cavity, over a backward-facing step and over a square cylinder were performed and compared with experimental measurements and other numerical results. © 2001 Elsevier Science B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_US
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_US
dc.rightsComputer Methods in Applied Mechanics and Engineering. Copyright © Elsevier BV.-
dc.subjectBackward-Facing Stepsen_US
dc.subjectDriven Cavityen_US
dc.subjectFinite Elementen_US
dc.subjectNumerical Modelen_US
dc.subjectSquare Cylinderen_US
dc.titleDevelopment of a finite element solution for the unsteady Navier-Stokes equations using projection method and fractional-θ-schemeen_US
dc.typeArticleen_US
dc.identifier.emailLiu, CH: chliu@hkucc.hku.hken_US
dc.identifier.emailLeung, DYC: ycleung@hku.hken_US
dc.identifier.authorityLiu, CH=rp00152en_US
dc.identifier.authorityLeung, DYC=rp00149en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0045-7825(00)00320-0en_US
dc.identifier.scopuseid_2-s2.0-0035843807en_US
dc.identifier.hkuros59301-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035843807&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume190en_US
dc.identifier.issue32-33en_US
dc.identifier.spage4301en_US
dc.identifier.epage4317en_US
dc.identifier.isiWOS:000168840300008-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridLiu, CH=36065161300en_US
dc.identifier.scopusauthoridLeung, DYC=7203002484en_US

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