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An asymptotic preserving kinetic scheme for the M1 model of linear transport
| hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
| dc.contributor.author | FEUGEAS, Jean-Luc | |
| hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
| dc.contributor.author | MATHIAUD, Julien | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MIEUSSENS, Luc | |
| hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
| dc.contributor.author | VIGIER, Thomas | |
| dc.date.accessioned | 2024-04-04T02:33:24Z | |
| dc.date.available | 2024-04-04T02:33:24Z | |
| dc.date.issued | 2023-04-13 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190474 | |
| dc.description.abstractEn | Moment models with suitable closure can lead to accurate and computationally efficient solvers for particle transport. Hence, we propose a new asymptotic preserving scheme for the M1 model of linear transport that works uniformly for any Knudsen number. Our idea is to apply the M1 closure at the numerical level to an existing asymptotic preserving scheme for the corresponding kinetic equation, namely the Unified Gas Kinetic scheme (UGKS) originally proposed in [27] and extended to linear transport in [24]. In order to ensure the moments realizability in this new scheme, the UGKS positivity needs to be maintained. We propose a new density reconstruction in time to obtain this property. A second order extension is also suggested and validated. Several test cases show the performances of this new scheme. | |
| dc.language.iso | en | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/ | |
| dc.subject.en | linear transport UGKS M1 closure asymptotic preserving scheme diffusion limit | |
| dc.subject.en | linear transport | |
| dc.subject.en | UGKS | |
| dc.subject.en | M1 closure | |
| dc.subject.en | asymptotic preserving scheme | |
| dc.subject.en | diffusion limit | |
| dc.title.en | An asymptotic preserving kinetic scheme for the M1 model of linear transport | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.identifier.arxiv | 2305.02804 | |
| 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-04190560 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04190560v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-04-13&rft.au=FEUGEAS,%20Jean-Luc&MATHIAUD,%20Julien&MIEUSSENS,%20Luc&VIGIER,%20Thomas&rft.genre=preprint |
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