Defect-correction finite element method based on Crank-Nicolson extrapolation scheme for the transient conduction-convection problem with high Reynolds number.
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| Title: | Defect-correction finite element method based on Crank-Nicolson extrapolation scheme for the transient conduction-convection problem with high Reynolds number. |
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| Authors: | Su, Haiyan1 shymath@163.com, Feng, Xinlong1 fxlmath@xju.edu.cn, He, Yinnian1,2 heyn@mail.xjtu.edu.cn |
| Source: | International Communications in Heat & Mass Transfer. Feb2017, Vol. 81, p229-249. 21p. |
| Subjects: | Defect correction methods (Numerical analysis), Finite element method, Crank-Nicolson method, Heat conduction, Heat convection, Reynolds number |
| Abstract: | A defect-correction finite element (FE) method is designed and analyzed for solving the two-dimensional (2D) transient conduction-convection problem at high Reynolds number. The method combines the merits of Crank-Nicolson (CN) extrapolation discretization and defect-correction scheme, which consists of solving a linearized problem with an added artificial viscosity term and then correcting the previous numerical solutions by a linearized defect-correction technique. The stability and optimal error estimate of the fully discrete scheme are derived. Finally, performance of the proposed method is investigated by numerical experiments. [ABSTRACT FROM AUTHOR] |
| Copyright of International Communications in Heat & Mass Transfer is the property of Pergamon Press - An Imprint of Elsevier Science 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: 121403020 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Defect-correction finite element method based on Crank-Nicolson extrapolation scheme for the transient conduction-convection problem with high Reynolds number. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Su%2C+Haiyan%22">Su, Haiyan</searchLink><relatesTo>1</relatesTo><i> shymath@163.com</i><br /><searchLink fieldCode="AR" term="%22Feng%2C+Xinlong%22">Feng, Xinlong</searchLink><relatesTo>1</relatesTo><i> fxlmath@xju.edu.cn</i><br /><searchLink fieldCode="AR" term="%22He%2C+Yinnian%22">He, Yinnian</searchLink><relatesTo>1,2</relatesTo><i> heyn@mail.xjtu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Communications+in+Heat+%26+Mass+Transfer%22">International Communications in Heat & Mass Transfer</searchLink>. Feb2017, Vol. 81, p229-249. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Defect+correction+methods+%28Numerical+analysis%29%22">Defect correction methods (Numerical analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Crank-Nicolson+method%22">Crank-Nicolson method</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+conduction%22">Heat conduction</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+convection%22">Heat convection</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A defect-correction finite element (FE) method is designed and analyzed for solving the two-dimensional (2D) transient conduction-convection problem at high Reynolds number. The method combines the merits of Crank-Nicolson (CN) extrapolation discretization and defect-correction scheme, which consists of solving a linearized problem with an added artificial viscosity term and then correcting the previous numerical solutions by a linearized defect-correction technique. The stability and optimal error estimate of the fully discrete scheme are derived. Finally, performance of the proposed method is investigated by numerical experiments. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Communications in Heat & Mass Transfer is the property of Pergamon Press - An Imprint of Elsevier Science 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.icheatmasstransfer.2016.12.014 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 229 Subjects: – SubjectFull: Defect correction methods (Numerical analysis) Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Crank-Nicolson method Type: general – SubjectFull: Heat conduction Type: general – SubjectFull: Heat convection Type: general – SubjectFull: Reynolds number Type: general Titles: – TitleFull: Defect-correction finite element method based on Crank-Nicolson extrapolation scheme for the transient conduction-convection problem with high Reynolds number. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Su, Haiyan – PersonEntity: Name: NameFull: Feng, Xinlong – PersonEntity: Name: NameFull: He, Yinnian IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 07351933 Numbering: – Type: volume Value: 81 Titles: – TitleFull: International Communications in Heat & Mass Transfer Type: main |
| ResultId | 1 |
