Academic Journal
Efficient multilevel restriction-prolongation expressions for hybrid finite volume element method.
| Title: | Efficient multilevel restriction-prolongation expressions for hybrid finite volume element method. |
|---|---|
| Authors: | Darbandi, Masoud, Vakili, Soheyl, Schneider, Gerry E. |
| Source: | International Journal of Computational Fluid Dynamics; Jan2008, Vol. 22 Issue 1-2, p29-38, 10p, 6 Diagrams, 3 Charts, 2 Graphs |
| Subject Terms: | Multigrid methods (Numerical analysis), Fluid dynamics, Finite volume method, Finite element method, Fluid mechanics, Education |
| Abstract: | A multigrid acceleration technique is suitably extended to solve the 2D incompressible Navier-Stokes equations using a fully implicit hybrid finite volume element method. As is known, the convergence of classical relaxation techniques performs an initial rapid decrease of residuals followed by a slower rate of decrease. This means that a relaxation procedure is efficient for eliminating only the high frequency components of the residuals. This problem can be overcome using a multigrid method. There are different restriction and prolongation operators to establish a multigrid procedure. An efficient operator is suitably extended in this work. It provides data during refining and coarsening stages using modified bilinear finite element interpolators. The extended formulations are then examined by solving a thermobuoyant flow problem, and the effects of using mid cell-face values in the extended restriction and prolongation operators are measured. The results indicate that the current formulation effectively improves the performance of the original fully implicit solver. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Computational Fluid Dynamics is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Complementary Index |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:edb&genre=article&issn=10618562&ISBN=&volume=22&issue=1-2&date=20080101&spage=29&pages=29-38&title=International Journal of Computational Fluid Dynamics&atitle=Efficient%20multilevel%20restriction-prolongation%20expressions%20for%20hybrid%20finite%20volume%20element%20method.&aulast=Darbandi%2C%20Masoud&id=DOI:10.1080/10618560701737203 Name: Full Text Finder (for New FTF UI) (ns324271) Category: fullText Text: Full Text Finder MouseOverText: Full Text Finder |
|---|---|
| Header | DbId: edb DbLabel: Complementary Index An: 31499970 RelevancyScore: 833 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 833.183898925781 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Efficient multilevel restriction-prolongation expressions for hybrid finite volume element method. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Darbandi%2C+Masoud%22">Darbandi, Masoud</searchLink><br /><searchLink fieldCode="AR" term="%22Vakili%2C+Soheyl%22">Vakili, Soheyl</searchLink><br /><searchLink fieldCode="AR" term="%22Schneider%2C+Gerry+E%2E%22">Schneider, Gerry E.</searchLink> – Name: TitleSource Label: Source Group: Src Data: International Journal of Computational Fluid Dynamics; Jan2008, Vol. 22 Issue 1-2, p29-38, 10p, 6 Diagrams, 3 Charts, 2 Graphs – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Multigrid+methods+%28Numerical+analysis%29%22">Multigrid methods (Numerical analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+volume+method%22">Finite volume method</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+mechanics%22">Fluid mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Education%22">Education</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A multigrid acceleration technique is suitably extended to solve the 2D incompressible Navier-Stokes equations using a fully implicit hybrid finite volume element method. As is known, the convergence of classical relaxation techniques performs an initial rapid decrease of residuals followed by a slower rate of decrease. This means that a relaxation procedure is efficient for eliminating only the high frequency components of the residuals. This problem can be overcome using a multigrid method. There are different restriction and prolongation operators to establish a multigrid procedure. An efficient operator is suitably extended in this work. It provides data during refining and coarsening stages using modified bilinear finite element interpolators. The extended formulations are then examined by solving a thermobuoyant flow problem, and the effects of using mid cell-face values in the extended restriction and prolongation operators are measured. The results indicate that the current formulation effectively improves the performance of the original fully implicit solver. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of International Journal of Computational Fluid Dynamics is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edb&AN=31499970 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/10618560701737203 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 29 Subjects: – SubjectFull: Multigrid methods (Numerical analysis) Type: general – SubjectFull: Fluid dynamics Type: general – SubjectFull: Finite volume method Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Fluid mechanics Type: general – SubjectFull: Education Type: general Titles: – TitleFull: Efficient multilevel restriction-prolongation expressions for hybrid finite volume element method. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Darbandi, Masoud – PersonEntity: Name: NameFull: Vakili, Soheyl – PersonEntity: Name: NameFull: Schneider, Gerry E. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2008 Type: published Y: 2008 Identifiers: – Type: issn-print Value: 10618562 Numbering: – Type: volume Value: 22 – Type: issue Value: 1-2 Titles: – TitleFull: International Journal of Computational Fluid Dynamics Type: main |
| ResultId | 1 |