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Article: Development of a scalable finite element solution to the Navier-Stokes equations

TitleDevelopment of a scalable finite element solution to the Navier-Stokes equations
Authors
KeywordsFinite element method
Fluid turbulence
Parallel computer
Issue Date2003
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00466/index.htm
Citation
Computational Mechanics, 2003, v. 32 n. 3, p. 185-198 How to Cite?
AbstractA scalable numerical model to solve the unsteady incompressible Navier-Stokes equations is developed using the Galerkin finite element method. The coupled equations are decoupled by the fractional-step method and the systems of equations are inverted by the Krylov subspace iterations. The data structure makes use of a domain decomposition of which each processor stores the parameters in its subdomain, while the linear equations solvers and matrices constructions are parallelized by a data parallel approach. The accuracy of the model is tested by modeling laminar flow inside a two-dimensional square lid-driven cavity for Reynolds numbers at 1,000 as well as three-dimensional turbulent plane and wavy Couette flow and heat transfer at high Reynolds numbers. The parallel performance of the code is assessed by measuring the CPU time taken on an IBM SP2 supercomputer. The speed up factor and parallel efficiency show a satisfactory computational performance.
Persistent Identifierhttp://hdl.handle.net/10722/75900
ISSN
2015 Impact Factor: 2.639
2015 SCImago Journal Rankings: 2.126
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, CHen_HK
dc.contributor.authorLeung, DYCen_HK
dc.contributor.authorWoo, CMen_HK
dc.date.accessioned2010-09-06T07:15:40Z-
dc.date.available2010-09-06T07:15:40Z-
dc.date.issued2003en_HK
dc.identifier.citationComputational Mechanics, 2003, v. 32 n. 3, p. 185-198en_HK
dc.identifier.issn0178-7675en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75900-
dc.description.abstractA scalable numerical model to solve the unsteady incompressible Navier-Stokes equations is developed using the Galerkin finite element method. The coupled equations are decoupled by the fractional-step method and the systems of equations are inverted by the Krylov subspace iterations. The data structure makes use of a domain decomposition of which each processor stores the parameters in its subdomain, while the linear equations solvers and matrices constructions are parallelized by a data parallel approach. The accuracy of the model is tested by modeling laminar flow inside a two-dimensional square lid-driven cavity for Reynolds numbers at 1,000 as well as three-dimensional turbulent plane and wavy Couette flow and heat transfer at high Reynolds numbers. The parallel performance of the code is assessed by measuring the CPU time taken on an IBM SP2 supercomputer. The speed up factor and parallel efficiency show a satisfactory computational performance.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00466/index.htmen_HK
dc.relation.ispartofComputational Mechanicsen_HK
dc.subjectFinite element methoden_HK
dc.subjectFluid turbulenceen_HK
dc.subjectParallel computeren_HK
dc.titleDevelopment of a scalable finite element solution to the Navier-Stokes equationsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0178-7675&volume=32&spage=185&epage=198&date=2003&atitle=Development+of+a+scalable+finite+element+solution+to+the+Navier-Stokes+Equationsen_HK
dc.identifier.emailLiu, CH:chliu@hkucc.hku.hken_HK
dc.identifier.emailLeung, DYC:ycleung@hku.hken_HK
dc.identifier.authorityLiu, CH=rp00152en_HK
dc.identifier.authorityLeung, DYC=rp00149en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00466-003-0474-8en_HK
dc.identifier.scopuseid_2-s2.0-1242298736en_HK
dc.identifier.hkuros89068en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1242298736&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume32en_HK
dc.identifier.issue3en_HK
dc.identifier.spage185en_HK
dc.identifier.epage198en_HK
dc.identifier.isiWOS:000186374400005-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridLiu, CH=36065161300en_HK
dc.identifier.scopusauthoridLeung, DYC=7203002484en_HK
dc.identifier.scopusauthoridWoo, CM=7102600998en_HK

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