Two-fluid barotropic models for powder-snow avalanche flows

Details Two-fluid barotropic models for powder-snow avalanche flows Two-fluid barotropic models for powder-snow avalanche flows

2009-06-11

arxiv.org/abs/0906.2118v1

Physics

Classical Physics

14 pages, 1 figure. Accepted to Springer series "Notes on Numerical Fluid Mechanics and Multidisciplinary Design". Other autho

Scientific paper

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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