The M1 angular moments model in a moving reference frame for rarefied gas dynamics applications
GUISSET, S
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
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Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
GUISSET, S
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Document de travail - Pré-publication
English Abstract
In the present work the M1 angular moments model in a moving reference frame is presented for rarefied gas dynamics applications. First of all, the derivation of the angular M1 moments model in the particles mean velocity ...Read more >
In the present work the M1 angular moments model in a moving reference frame is presented for rarefied gas dynamics applications. First of all, the derivation of the angular M1 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 M1 moments model in the mean velocity frame is proposed. Thirdly, some numerical results obtained considering several test cases in different collisional regimes are displayed.Read less <
English Keywords
Angular moments models
entropy minimisation closure
Galilean invariance
HLL schemes
Origin
Hal imported