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Article: Characteristic-based operator-splitting finite element method for Navier-Stokes equations

TitleCharacteristic-based operator-splitting finite element method for Navier-Stokes equations
Authors
KeywordsCbos Algorithm
Finite Element Method
N-S Equations
Issue Date2011
Citation
Science China Technological Sciences, 2011, v. 54 n. 8, p. 2157-2166 How to Cite?
AbstractA new finite element method, which is the characteristic-based operator-splitting (CBOS) algorithm, is developed to solve Navier-Stokes (N-S) equations. In each time step, the equations are split into the diffusive part and the convective part by adopting the operator-splitting algorithm. For the diffusive part, the temporal discretization is performed by the backward difference method which yields an implicit scheme and the spatial discretization is performed by the standard Galerkin method. The convective part can be discretized using the characteristic Galerkin method and solved explicitly. The driven square flow and backward-facing step flow are conducted to validate the model. It is shown that the numerical results agree well with the standard solutions or existing experimental data, and the present model has high accuracy and good stability. It provides a prospective research method for solving N-S equations. © 2011 Science China Press and Springer-Verlag Berlin Heidelberg.
Persistent Identifierhttp://hdl.handle.net/10722/150585
ISSN
2014 Impact Factor: 1.192
2014 SCImago Journal Rankings: 0.583
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation of China41072235
50809008
Hong Kong Research Grants CouncilHKU 7171/06E
National Basic Research Program of China ("973" Project)2007CB209400
Natural Science Foundation of LiaoNing Province of China20102006
Funding Information:

This work was supported by the National Natural Science Foundation of China (Grant Nos. 41072235, 50809008), the Hong Kong Research Grants Council (Grant No. HKU 7171/06E), the National Basic Research Program of China ("973" Project) (Grant No. 2007CB209400) and the Natural Science Foundation of LiaoNing Province of China (Grant No. 20102006).

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorWang, Den_US
dc.contributor.authorWang, Hen_US
dc.contributor.authorXiong, Jen_US
dc.contributor.authorTham, LGen_US
dc.date.accessioned2012-06-26T06:05:55Z-
dc.date.available2012-06-26T06:05:55Z-
dc.date.issued2011en_US
dc.identifier.citationScience China Technological Sciences, 2011, v. 54 n. 8, p. 2157-2166en_US
dc.identifier.issn1674-7321en_US
dc.identifier.urihttp://hdl.handle.net/10722/150585-
dc.description.abstractA new finite element method, which is the characteristic-based operator-splitting (CBOS) algorithm, is developed to solve Navier-Stokes (N-S) equations. In each time step, the equations are split into the diffusive part and the convective part by adopting the operator-splitting algorithm. For the diffusive part, the temporal discretization is performed by the backward difference method which yields an implicit scheme and the spatial discretization is performed by the standard Galerkin method. The convective part can be discretized using the characteristic Galerkin method and solved explicitly. The driven square flow and backward-facing step flow are conducted to validate the model. It is shown that the numerical results agree well with the standard solutions or existing experimental data, and the present model has high accuracy and good stability. It provides a prospective research method for solving N-S equations. © 2011 Science China Press and Springer-Verlag Berlin Heidelberg.en_US
dc.languageengen_US
dc.relation.ispartofScience China Technological Sciencesen_US
dc.subjectCbos Algorithmen_US
dc.subjectFinite Element Methoden_US
dc.subjectN-S Equationsen_US
dc.titleCharacteristic-based operator-splitting finite element method for Navier-Stokes equationsen_US
dc.typeArticleen_US
dc.identifier.emailTham, LG:hrectlg@hkucc.hku.hken_US
dc.identifier.authorityTham, LG=rp00176en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s11431-011-4444-7en_US
dc.identifier.scopuseid_2-s2.0-80051590694en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80051590694&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume54en_US
dc.identifier.issue8en_US
dc.identifier.spage2157en_US
dc.identifier.epage2166en_US
dc.identifier.isiWOS:000293513000024-
dc.relation.projectLandslide induced wave in reservoir district and its effects on dams-
dc.identifier.scopusauthoridWang, D=15764075300en_US
dc.identifier.scopusauthoridWang, H=48762095000en_US
dc.identifier.scopusauthoridXiong, J=7202010068en_US
dc.identifier.scopusauthoridTham, LG=7006213628en_US

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