TY - GEN
T1 - Two-fluid barotropic models for powder-snow avalanche flows
AU - Meyapin, Yannick
AU - Dutykh, Denys
AU - Gisclon, Marguerite
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79551519923&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-17770-5_17
DO - 10.1007/978-3-642-17770-5_17
M3 - Conference contribution
AN - SCOPUS:79551519923
SN - 9783642177699
T3 - Notes on Numerical Fluid Mechanics and Multidisciplinary Design
SP - 219
EP - 232
BT - Computational Science and High Performance Computing IV
ER -