Two-fluid barotropic models for powder-snow avalanche flows

Abstract : 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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Yannick Meyapin, Denys Dutykh, Marguerite Gisclon. Two-fluid barotropic models for powder-snow avalanche flows. Computational Science and High Performance Computing IV, Springer Berlin Heidelberg, pp.219-232, 2011, 978-3-642-17770-5. ⟨10.1007/978-3-642-17770-5_17⟩. ⟨http://link.springer.com/chapter/10.1007/978-3-642-17770-5_17⟩. ⟨hal-00394437⟩

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