Modeling and Simulation of Mixture Flows : Application to Powder-Snow Avalanches

Caterina Calgaro 1, 2 Emmanuel Creusé 2, 1 Thierry Goudon 3, 4
1 MEPHYSTO - Quantitative methods for stochastic models in physics
LPP - Laboratoire Paul Painlevé - UMR 8524, ULB - Université Libre de Bruxelles [Bruxelles], Inria Lille - Nord Europe
4 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : We are concerned with the numerical simulation of certain multi-fluids flows, which in particular arise in the modeling of powder-snow avalanches. The behavior of the mixture is described through a single mass density and a velocity field, with an unusual constraint that relates the divergence of the velocity to derivatives of the density. We discuss a derivation of the model from a Eulerian-Lagrangian description of the mixture. We propose a numerical scheme based on a hybrid Finite Volume/Finite Element method. This approach is validated by comparison to analytical solutions, numerical solutions and experimental data. The scheme works on unstructured meshes and it can be advantageously coupled to mesh refnements strategies in order to follow fronts of high density variation. We explore numerically the role of the leading coeffcients that characterize the flow: the Froude, the Reynolds and the Schmidt numbers.
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https://hal.archives-ouvertes.fr/hal-00732112
Contributor : Thierry Goudon <>
Submitted on : Thursday, October 23, 2014 - 11:27:37 AM
Last modification on : Tuesday, July 3, 2018 - 11:21:13 AM

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Caterina Calgaro, Emmanuel Creusé, Thierry Goudon. Modeling and Simulation of Mixture Flows : Application to Powder-Snow Avalanches. 2014. ⟨hal-00732112v2⟩

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