THE M 1 ANGULAR MOMENTS MODEL IN A MOVING REFERENCE FRAME FOR RAREFIED GAS DYNAMICS APPLICATIONS
hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
dc.contributor.author | GUISSET, S | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | AREGBA-DRIOLLET, Denise | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BRULL, Stéphane | |
hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
dc.contributor.author | DUBROCA, B. | |
dc.date.accessioned | 2024-04-04T03:03:54Z | |
dc.date.available | 2024-04-04T03:03:54Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1540-3459 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193108 | |
dc.description.abstractEn | In the present work the M 1 angular moments model in a moving reference frame is presented for rarefied gas dynamics applications. First of all, the derivation of the angular M 1 moments model in the particles mean velocity frame is introduced. The choice of the mean velocity framework in order to enforce the Galilean invariance property of the model is highlighted. In addition , it is shown that the model rewritten in terms of the entropic variables is Friedrichs-symmetric. Also, the derivation of the associated conservation laws and the zero mean velocity condition are detailed. Secondly, a suitable numerical scheme, preserving the realisable requirement of the numerical solution for the angular M 1 moments model in the mean velocity frame is proposed. Thirdly, some numerical results obtained considering several test cases in different collisional regimes are displayed. | |
dc.language.iso | en | |
dc.publisher | Society for Industrial and Applied Mathematics | |
dc.subject.en | Galilean invariance | |
dc.subject.en | entropy minimisation closure | |
dc.subject.en | Angular moments models | |
dc.subject.en | HLL schemes | |
dc.title.en | THE M 1 ANGULAR MOMENTS MODEL IN A MOVING REFERENCE FRAME FOR RAREFIED GAS DYNAMICS APPLICATIONS | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
bordeaux.journal | Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01934321 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01934321v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Multiscale%20Modeling%20and%20Simulation:%20A%20SIAM%20Interdisciplinary%20Journal&rft.date=2017&rft.eissn=1540-3459&rft.issn=1540-3459&rft.au=GUISSET,%20S&AREGBA-DRIOLLET,%20Denise&BRULL,%20St%C3%A9phane&DUBROCA,%20B.&rft.genre=article |
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