SUBGRID STABILIZED DEFECT CORRECTION METHODS FOR THE NAVIER-STOKES EQUATIONS.
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| Title: | SUBGRID STABILIZED DEFECT CORRECTION METHODS FOR THE NAVIER-STOKES EQUATIONS. |
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| Authors: | Kaya, Songul1 songul@math.metu.edu.tr, Layton, William2 wjl@pitt.edu, Rivière, Béatrice2 riviere@math.pitt.edu |
| Source: | SIAM Journal on Numerical Analysis. 2006, Vol. 44 Issue 4, p1639-1654. 16p. 4 Charts, 5 Graphs. |
| Subjects: | Numerical solutions to Navier-Stokes equations, Defect correction methods (Numerical analysis), Approximation theory, Reynolds number, Numerical analysis |
| Abstract: | We consider the synthesis of a recent subgrid stabilization method with defect correction methods. The combination is particularly efficient and combines the best algorithmic features of each. We prove convergence of the method for a fixed number of corrections as the mesh size goes to zero and derive parameter scalings from the analysis. We also present some numerical tests which both verify the theoretical predictions and illustrate the method's promise. [ABSTRACT FROM AUTHOR] |
| Copyright of SIAM Journal on Numerical Analysis is the property of Society for Industrial & Applied Mathematics 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: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 26338166 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: SUBGRID STABILIZED DEFECT CORRECTION METHODS FOR THE NAVIER-STOKES EQUATIONS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kaya%2C+Songul%22">Kaya, Songul</searchLink><relatesTo>1</relatesTo><i> songul@math.metu.edu.tr</i><br /><searchLink fieldCode="AR" term="%22Layton%2C+William%22">Layton, William</searchLink><relatesTo>2</relatesTo><i> wjl@pitt.edu</i><br /><searchLink fieldCode="AR" term="%22Rivière%2C+Béatrice%22">Rivière, Béatrice</searchLink><relatesTo>2</relatesTo><i> riviere@math.pitt.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Numerical+Analysis%22">SIAM Journal on Numerical Analysis</searchLink>. 2006, Vol. 44 Issue 4, p1639-1654. 16p. 4 Charts, 5 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+solutions+to+Navier-Stokes+equations%22">Numerical solutions to Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Defect+correction+methods+%28Numerical+analysis%29%22">Defect correction methods (Numerical analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider the synthesis of a recent subgrid stabilization method with defect correction methods. The combination is particularly efficient and combines the best algorithmic features of each. We prove convergence of the method for a fixed number of corrections as the mesh size goes to zero and derive parameter scalings from the analysis. We also present some numerical tests which both verify the theoretical predictions and illustrate the method's promise. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of SIAM Journal on Numerical Analysis is the property of Society for Industrial & Applied Mathematics 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1137/050623942 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 1639 Subjects: – SubjectFull: Numerical solutions to Navier-Stokes equations Type: general – SubjectFull: Defect correction methods (Numerical analysis) Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Reynolds number Type: general – SubjectFull: Numerical analysis Type: general Titles: – TitleFull: SUBGRID STABILIZED DEFECT CORRECTION METHODS FOR THE NAVIER-STOKES EQUATIONS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kaya, Songul – PersonEntity: Name: NameFull: Layton, William – PersonEntity: Name: NameFull: Rivière, Béatrice IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: 2006 Type: published Y: 2006 Identifiers: – Type: issn-print Value: 00361429 Numbering: – Type: volume Value: 44 – Type: issue Value: 4 Titles: – TitleFull: SIAM Journal on Numerical Analysis Type: main |
| ResultId | 1 |
