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Abgrall, Rémi; Dallet, Sophie (2014). An asymptotic preserving scheme for the barotropic baer-nunziato model. In: Fuhrmann, Jürgen; Ohlberger, Mario; Rohde, Christian. Finite volumes for complex applications vii-elliptic, parabolic and hyperbolic problems. Cham: Springer (Bücher), 749-757.
We introduce in this paper a new scheme for obtaining approximations of solutions of the barotropic Baer-Nunziato (BN) model. This scheme is expected to provide relevant approximations when relaxation time scales embedded in pressure and velocity relaxation terms vanish. A brief recall of the BN model and the asymptotic model is first given. The scheme and its main properties are described and some numerical results are provided confirming that it behaves reasonably well.
| Item Type: | Book Section, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2014 |
| Deposited On: | 28 Mar 2018 09:24 |
| Last Modified: | 22 Aug 2024 03:38 |
| Publisher: | Springer (Bücher) |
| Series Name: | Springer Proceedings in Mathematics |
| ISSN: | 2190-5614 |
| ISBN: | 978-3-319-05590-9 |
| Additional Information: | Conference Proceeding, FVCA 7, Berlin, June 2014, Springer Proceedings in Mathematics & Statistics, vol 78. |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/978-3-319-05591-6_75 |
Abgrall, Rémi