| HAL : inria-00633917, version 1 |
| DOI : 10.1007/s10915-010-9415-9 |
| Voir la fiche détaillée | BibTeX,EndNote,... |
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| Journal of Scientific Computing 48, 1-3 (2011) 296-303 |
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| A conservative method for the simulation of the isothermal Euler system with the van-der-Waals equation of state |
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| Vincent Perrier 1, 2 |
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| (2011) |
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| In this article, we are interested in the simulation of phase transition in compressible flows, with the isothermal Euler system, closed by the van-der-Waals model. We formulate the problem as an hyperbolic system, with a source term located at the interface between liquid and vapour. The numerical scheme is based on [1, 5]. Compared with previous discretizations of the van-der-Waals system, the novelty of this algorithm is that it is fully conservative. Its Godunov-type formulation allows an easy implementation on multidimensional unstructured meshes. |
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| 1 : | CAGIRE (INRIA Bordeaux - Sud-Ouest) |
| INRIA | |
| 2 : | Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP) |
| CNRS : UMR5142 – Université de Pau et des Pays de l'Adour [UPPA] | |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| inria-00633917, version 1 | |
| http://hal.inria.fr/inria-00633917 | |
| oai:hal.inria.fr:inria-00633917 | |
| Contributeur : Vincent Perrier | |
| Soumis le : Mercredi 19 Octobre 2011, 17:52:17 | |
| Dernière modification le : Jeudi 20 Octobre 2011, 08:45:37 | |