Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes.
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| Title: | Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes. |
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| Authors: | Boujoudar, Mohammed1 (AUTHOR), Franck, Emmanuel2 (AUTHOR), Hoch, Philippe3 (AUTHOR), Lasuen, Clément3 (AUTHOR), Le Hénaff, Yoan4 (AUTHOR), Paragot, Paul5 (AUTHOR) |
| Source: | ESAIM: Proceedings & Surveys. 2024, Vol. 77, p123-144. 22p. |
| Subjects: | Unpublished materials |
| Abstract: | In this work we focus on an adaptation of the method described in [1] in order to deal with source term in the 2D Euler equations. This method extends classical 1D solvers (such as VFFC, Roe, Rusanov) to the two-dimensional case on unstructured meshes. The resulting schemes are said to be composite as they can be written as a convex combination of a purely node-based scheme and a purely edge-based scheme. We combine this extension with the ideas developed by Alouges, Ghidaglia and Tajchman in an unpublished work [2] – focused mainly on the 1D case – and we propose two attempts at discretizing the source term of the Euler equations in order to better preserve stationary solutions. We compare these discretizations with the "usual" centered discretization on several numerical examples. [ABSTRACT FROM AUTHOR] |
| Copyright of ESAIM: Proceedings & Surveys is the property of EDP Sciences 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 |
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| Items | – Name: Title Label: Title Group: Ti Data: Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Boujoudar%2C+Mohammed%22">Boujoudar, Mohammed</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Franck%2C+Emmanuel%22">Franck, Emmanuel</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hoch%2C+Philippe%22">Hoch, Philippe</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lasuen%2C+Clément%22">Lasuen, Clément</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Le+Hénaff%2C+Yoan%22">Le Hénaff, Yoan</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Paragot%2C+Paul%22">Paragot, Paul</searchLink><relatesTo>5</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22ESAIM%3A+Proceedings+%26+Surveys%22">ESAIM: Proceedings & Surveys</searchLink>. 2024, Vol. 77, p123-144. 22p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Unpublished+materials%22">Unpublished materials</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work we focus on an adaptation of the method described in [1] in order to deal with source term in the 2D Euler equations. This method extends classical 1D solvers (such as VFFC, Roe, Rusanov) to the two-dimensional case on unstructured meshes. The resulting schemes are said to be composite as they can be written as a convex combination of a purely node-based scheme and a purely edge-based scheme. We combine this extension with the ideas developed by Alouges, Ghidaglia and Tajchman in an unpublished work [2] – focused mainly on the 1D case – and we propose two attempts at discretizing the source term of the Euler equations in order to better preserve stationary solutions. We compare these discretizations with the "usual" centered discretization on several numerical examples. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of ESAIM: Proceedings & Surveys is the property of EDP Sciences 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: 10.1051/proc/202477123 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 123 Subjects: – SubjectFull: Unpublished materials Type: general Titles: – TitleFull: Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Boujoudar, Mohammed – PersonEntity: Name: NameFull: Franck, Emmanuel – PersonEntity: Name: NameFull: Hoch, Philippe – PersonEntity: Name: NameFull: Lasuen, Clément – PersonEntity: Name: NameFull: Le Hénaff, Yoan – PersonEntity: Name: NameFull: Paragot, Paul IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: 2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 22673059 Numbering: – Type: volume Value: 77 Titles: – TitleFull: ESAIM: Proceedings & Surveys Type: main |
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