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| HAL : hal-00394437, version 1 |
| arXiv : 0906.2118 |
| Fiche détaillée |  Récupérer au format |
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| Two-fluid barotropic models for powder-snow avalanche flows |
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Yannick Meyapin 1Denys Dutykh 1 |
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| (11/06/2009) |
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| In the present study we discuss several modeling issues of powder-snow avalanche flows. We take a two-fluid modeling paradigm. For the sake of simplicity, we will restrict our attention to barotropic equations. We begin the exposition by a compressible model with two velocities for each fluid. However, this model may become non-hyperbolic and thus, represents serious challenges for numerical methods. To overcome these issues, we derive a single velocity model as a result of a relaxation process. This model can be easily shown to be hyperbolic for any reasonable equation of state. Finally, an incompressible limit of this model is derived. |
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| 1 : | Laboratoire de Mathématiques (LAMA) |
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CNRS : UMR5127 – Université de Savoie |
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| Domaine | : | Physique/Mécanique/Mécanique des fluides Mathématiques/Equations aux dérivées partielles Planète et Univers/Sciences de la Terre/Géophysique Physique/Physique/Dynamique des Fluides Physique/Physique/Physique Numérique Sciences de l'ingénieur/Milieux fluides et réactifs Planète et Univers/Sciences de la Terre/Glaciologie |
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| two-phase flow – two-fluid flow – powder snow avalanche – Chapman-Enskog expansion |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00394437, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00394437 | |
| oai:hal.archives-ouvertes.fr:hal-00394437 | |
| Contributeur : Denys Dutykh | |
| Soumis le : Jeudi 11 Juin 2009, 16:18:06 | |
| Dernière modification le : Dimanche 14 Juin 2009, 08:05:08 | |
