Denys Dutykh
All book chapters
2011

Two-fluid barotropic models for powder-snow avalanche flows

T
Y. Meyapin, D. Dutykh and M. Gisclon
In Computational Sci. & High Performance Computing IV, edited by E. Krause, NNFM vol. 115, pp. 219–232, Springer-Verlag, Berlin Heidelberg, 2011.
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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.

Keywords

Mach NumberStrouhal NumberSnow AvalancheMomentum Conservation EquationViscous Stress Tensor

Bibliographic record

Book: Computational Sci. & High Performance Computing IV
Editors: E. Krause
Series: NNFM
Volume: 115
Pages: 219–232
Publisher: Springer-Verlag, Berlin Heidelberg
ISBN (print): 978-3-642-17770-5
ISBN (online): 978-3-642-17770-5

BibTeX Citation

@incollection{Meyapin_2011_twofluid_barotropic_models,
  title = {Two-fluid barotropic models for powder-snow avalanche flows},
  author = {Meyapin, Y. and Dutykh, D. and Gisclon, M.},
  booktitle = {Computational Sci. & High Performance Computing IV},
  editor = {Krause, E.},
  publisher = {Springer-Verlag},
  year = {2011},
  pages = {219--232},
  doi = {10.1007/978-3-642-17770-5_17},
  url = {http://hal.archives-ouvertes.fr/hal-00394437/},
  series = {NNFM},
  volume = {115},
  isbn = {978-3-642-17770-5},
  keywords = {Mach Number, Strouhal Number, Snow Avalanche, Momentum Conservation Equation, Viscous Stress Tensor}
}