Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes*
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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2024-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407706.pdf |
| _version_ | 1826947748543332352 |
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| author | Boujoudar Mohammed Franck Emmanuel Hoch Philippe Lasuen Clément Le Hénaff Yoan Paragot Paul |
| author_facet | Boujoudar Mohammed Franck Emmanuel Hoch Philippe Lasuen Clément Le Hénaff Yoan Paragot Paul |
| author_sort | Boujoudar Mohammed |
| collection | DOAJ |
| description | 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 We combine this extension with the ideas developed by Alouges, Ghidaglia and Tajchman in an unpublished work [2] – focused mainly on the 1D case – and we propose two attempts at discretizing the source term of the Euler equations in order to better preserve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. |
| first_indexed | 2025-02-17T21:36:54Z |
| format | Article |
| id | doaj.art-97869546da5445d4aae72547c2994e09 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2025-02-17T21:36:54Z |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-97869546da5445d4aae72547c2994e092024-12-06T10:47:33ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592024-01-017712314410.1051/proc/202477123proc2407706Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes*Boujoudar Mohammed0Franck Emmanuel1Hoch Philippe2Lasuen Clément3Le Hénaff Yoan4Paragot Paul5Mohammed VI Polytechnic UniversityUniversité de Strasbourg, CNRS, Inria, IRMACEA, DAM, DIFCEA, DAM, DIFUniversité de Rennes, IRMAR UMR 6625, Centre INRIA de l’Université de Rennes (MINGuS)Laboratoire J.A. Dieudonné, Université Côte d’AzurIn 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.https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407706.pdf |
| spellingShingle | Boujoudar Mohammed Franck Emmanuel Hoch Philippe Lasuen Clément Le Hénaff Yoan Paragot Paul Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes* ESAIM: Proceedings and Surveys |
| title | Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes* |
| title_full | Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes* |
| title_fullStr | Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes* |
| title_full_unstemmed | Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes* |
| title_short | Cemracs project: A composite finite volume scheme for the Euler equations with source term on unstructured meshes* |
| title_sort | cemracs project a composite finite volume scheme for the euler equations with source term on unstructured meshes |
| url | https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407706.pdf |
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