Abstract
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.
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Meyapin, Y., Dutykh, D., Gisclon, M. (2011). Two-Fluid Barotropic Models for Powder-Snow Avalanche Flows. In: Krause, E., Shokin, Y., Resch, M., Kröner, D., Shokina, N. (eds) Computational Science and High Performance Computing IV. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17770-5_17
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DOI: https://doi.org/10.1007/978-3-642-17770-5_17
Publisher Name: Springer, Berlin, Heidelberg
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