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Article: Characteristic-based operator-splitting finite element method for Navier-Stokes equations
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TitleCharacteristic-based operator-splitting finite element method for Navier-Stokes equations
 
AuthorsWang, D1
Wang, H1
Xiong, J3
Tham, LG2
 
KeywordsCbos Algorithm
Finite Element Method
N-S Equations
 
Issue Date2011
 
CitationScience China Technological Sciences, 2011, v. 54 n. 8, p. 2157-2166 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s11431-011-4444-7
 
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.
 
ISSN1674-7321
2012 Impact Factor: 1.187
2012 SCImago Journal Rankings: 0.394
 
DOIhttp://dx.doi.org/10.1007/s11431-011-4444-7
 
ISI Accession Number IDWOS:000293513000024
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).

 
ReferencesReferences in Scopus
 
GrantsLandslide induced wave in reservoir district and its effects on dams
 
DC FieldValue
dc.contributor.authorWang, D
 
dc.contributor.authorWang, H
 
dc.contributor.authorXiong, J
 
dc.contributor.authorTham, LG
 
dc.date.accessioned2012-06-26T06:05:55Z
 
dc.date.available2012-06-26T06:05:55Z
 
dc.date.issued2011
 
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.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationScience China Technological Sciences, 2011, v. 54 n. 8, p. 2157-2166 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s11431-011-4444-7
 
dc.identifier.doihttp://dx.doi.org/10.1007/s11431-011-4444-7
 
dc.identifier.epage2166
 
dc.identifier.isiWOS:000293513000024
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).

 
dc.identifier.issn1674-7321
2012 Impact Factor: 1.187
2012 SCImago Journal Rankings: 0.394
 
dc.identifier.issue8
 
dc.identifier.scopuseid_2-s2.0-80051590694
 
dc.identifier.spage2157
 
dc.identifier.urihttp://hdl.handle.net/10722/150585
 
dc.identifier.volume54
 
dc.languageeng
 
dc.relation.ispartofScience China Technological Sciences
 
dc.relation.projectLandslide induced wave in reservoir district and its effects on dams
 
dc.relation.referencesReferences in Scopus
 
dc.subjectCbos Algorithm
 
dc.subjectFinite Element Method
 
dc.subjectN-S Equations
 
dc.titleCharacteristic-based operator-splitting finite element method for Navier-Stokes equations
 
dc.typeArticle
 
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Author Affiliations
  1. Dalian University
  2. The University of Hong Kong
  3. Tongji University