Mathematical modeling of powder-snow avalanche flows

Denys Dutykh, Céline Acary-Robert, Didier Bresch

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

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.

Original languageBritish English
Pages (from-to)38-66
Number of pages29
JournalStudies in Applied Mathematics
Volume127
Issue number1
DOIs
StatePublished - Jul 2011

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