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A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AREGBA-DRIOLLET, Denise | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOUHARGUANE, Afaf | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRULL, Stéphane | |
| dc.date.accessioned | 2024-04-04T02:37:01Z | |
| dc.date.available | 2024-04-04T02:37:01Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190771 | |
| dc.description.abstractEn | This paper is devoted to the construction of a discontinuous Galerkin discretisation (DG) for the nonconservative bitemperature Euler system via a a discrete BGK formulation. This formulation is compatible with the entropy properties of the system and thus provides admissible solutions. The DG method is used to approximate the linear transport part of the BGK model while the force and source-terms are treated implicitly but with explicit expressions. High order in time has also been investigated using SSP Runge-Kutta methods. We numerically show the good agreement of our results with the ones provided by other schemes, including solutions with shocks. | |
| dc.language.iso | en | |
| dc.subject.en | nonconservative hyperbolic system | |
| dc.subject.en | discrete BGK approximation | |
| dc.subject.en | discontinuous Galerkin methods | |
| dc.subject.en | Runge-Kutta methods AMS subject classification | |
| dc.title.en | A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03903339 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03903339v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AREGBA-DRIOLLET,%20Denise&BOUHARGUANE,%20Afaf&BRULL,%20St%C3%A9phane&rft.genre=preprint |
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