Two-fluid barotropic models for powder-snow avalanche flows

Yannick Meyapin, Denys Dutykh, Marguerite Gisclon

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


In the present study we discuss several modelling issues of powder-snow avalanche flows. We take a two-fluid modelling 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.

Original languageBritish English
Title of host publicationComputational Science and High Performance Computing IV
Subtitle of host publicationThe 4th Russian-German Advanced Research Workshop, Freiburg, Germany, October 12 to 16, 2009
Number of pages14
StatePublished - 2011

Publication series

NameNotes on Numerical Fluid Mechanics and Multidisciplinary Design
ISSN (Print)1612-2909


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