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| HAL : hal-00354000, version 4 |
| arXiv : 0901.2781 |
| DOI : 10.1111/j.1467-9590.2010.00511.x |
| Fiche détaillée |  Récupérer au format |
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| Studies in Applied Mathematics 127, 1 (2011) 38-66 |
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| Versions disponibles : | v1 (19-01-2009) | v2 (05-02-2009) | v3 (20-07-2010) | v4 (11-11-2010) |
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| Mathematical modeling of powder-snow avalanche flows |
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Denys Dutykh 1Céline Acary-Robert 1 |
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| (06/07/2011) |
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| Powder-snow avalanches are violent natural disasters which represent a major risk for infrastructures and populations in mountain regions. In this study we present a novel model for the simulation of avalanches in the aerosol regime. The second scope of this study is to get more insight into the interaction process between an avalanche and a rigid obstacle. An incompressible model of two miscible fluids can be successfully employed in this type of problems. We allow for mass diffusion between two phases according to the Fick's law. The governing equations are discretized with a contemporary fully implicit finite volume scheme. The solver is able to deal with arbitrary density ratios. Several numerical results are presented. Volume fraction, velocity and pressure fields are presented and discussed. Finally we point out how this methodology can be used for practical problems. |
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| 1 : | Laboratoire de Mathématiques (LAMA) |
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CNRS : UMR5127 – Université de Savoie |
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| EDPs² |
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| Domaine | : | Physique/Mécanique/Mécanique des fluides Sciences de l'ingénieur/Mécanique/Mécanique des fluides Mathématiques/Analyse numérique Physique/Physique/Physique Numérique Mathématiques/Equations aux dérivées partielles Mathématiques/Physique mathématique Physique/Physique mathématique Planète et Univers/Sciences de la Terre/Glaciologie Planète et Univers/Sciences de la Terre/Géophysique Physique/Physique/Géophysique Sciences de l'environnement/Milieux et Changements globaux Sciences de l'ingénieur/Milieux fluides et réactifs |
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| snow avalanche – gravity-driven flow – miscible fluids – two-phase flow – Fick's law – finite volumes |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00354000, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00354000 | |
| oai:hal.archives-ouvertes.fr:hal-00354000 | |
| Contributeur : Denys Dutykh | |
| Soumis le : Mardi 9 Novembre 2010, 09:42:18 | |
| Dernière modification le : Mercredi 6 Juillet 2011, 12:35:29 | |
