Calibrated reduced-order POD-Galerkin system for fluid flow modelling
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| Title: | Calibrated reduced-order POD-Galerkin system for fluid flow modelling |
|---|---|
| Authors: | Couplet, M.1 mathieu.couplet@laposte.net, Basdevant, C.2 basdevant@lmd.ens.fr, Sagaut, P.3 sagaut@lmm.jussieu.fr |
| Source: | Journal of Computational Physics. Jul2005, Vol. 207 Issue 1, p192-220. 29p. |
| Subjects: | Galerkin methods, Fluid dynamics, Numerical analysis, Fluid mechanics |
| Abstract: | Abstract: To improve the behaviour of reduced-order proper orthogonal decomposition (POD)-Galerkin systems, two numerical methods are proposed. These methods determine free parameters in the POD-Galerkin system from flow simulations via a minimization problem. They give rise to linear systems and their computational costs are reasonable. Both methods are assessed for two flow configurations: a two-dimensional flow around a square–cylinder for a Reynolds number of 100 and a three-dimensional flow past a backward-facing step for a Reynolds number of 7432 based on the step height and the streamwise velocity at the middle of the inlet. For both configurations, the methods are effective since accurate calibrated reduced-order POD-Galerkin systems are obtained. [Copyright &y& Elsevier] |
| Copyright of Journal of Computational Physics is the property of Academic Press Inc. 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 | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 17809358 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Calibrated reduced-order POD-Galerkin system for fluid flow modelling – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Couplet%2C+M%2E%22">Couplet, M.</searchLink><relatesTo>1</relatesTo><i> mathieu.couplet@laposte.net</i><br /><searchLink fieldCode="AR" term="%22Basdevant%2C+C%2E%22">Basdevant, C.</searchLink><relatesTo>2</relatesTo><i> basdevant@lmd.ens.fr</i><br /><searchLink fieldCode="AR" term="%22Sagaut%2C+P%2E%22">Sagaut, P.</searchLink><relatesTo>3</relatesTo><i> sagaut@lmm.jussieu.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+Physics%22">Journal of Computational Physics</searchLink>. Jul2005, Vol. 207 Issue 1, p192-220. 29p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Galerkin+methods%22">Galerkin methods</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+mechanics%22">Fluid mechanics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: To improve the behaviour of reduced-order proper orthogonal decomposition (POD)-Galerkin systems, two numerical methods are proposed. These methods determine free parameters in the POD-Galerkin system from flow simulations via a minimization problem. They give rise to linear systems and their computational costs are reasonable. Both methods are assessed for two flow configurations: a two-dimensional flow around a square–cylinder for a Reynolds number of 100 and a three-dimensional flow past a backward-facing step for a Reynolds number of 7432 based on the step height and the streamwise velocity at the middle of the inlet. For both configurations, the methods are effective since accurate calibrated reduced-order POD-Galerkin systems are obtained. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. 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: 10.1016/j.jcp.2005.01.008 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 192 Subjects: – SubjectFull: Galerkin methods Type: general – SubjectFull: Fluid dynamics Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Fluid mechanics Type: general Titles: – TitleFull: Calibrated reduced-order POD-Galerkin system for fluid flow modelling Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Couplet, M. – PersonEntity: Name: NameFull: Basdevant, C. – PersonEntity: Name: NameFull: Sagaut, P. IsPartOfRelationships: – BibEntity: Dates: – D: 20 M: 07 Text: Jul2005 Type: published Y: 2005 Identifiers: – Type: issn-print Value: 00219991 Numbering: – Type: volume Value: 207 – Type: issue Value: 1 Titles: – TitleFull: Journal of Computational Physics Type: main |
| ResultId | 1 |
