La Houille Blanche
Number 5-6, Août 1994
|Page(s)||25 - 39|
|Published online||01 October 2009|
Modélisation des avalanches denses Approches théorique et numérique
Modelling flowing avalanches
Centre d'Etudes du Machinisme Agricole, du Génie Rural des Eaux et Forêts 2 rue de la Papeterie, 38402 Saint Martin d'Hères, BP 76, tél. : 76 76 27 27
This paper focuses on physical and numerical modelling of flowing avalanches. The first part of this investigation examines previous models : it is shown that our sound knowledge of avalanches are insufficient, be it through the rheology of snow or through the accuracy of models. The second part presents a mathematical model based on mass and momentum equations. As constitutive relation, we use a Bingham law. Equations are written in curvilinear coordinates for one-dimensional simply sheared flow. For transient laminar regime, wall friction is calculated using the formula of corresponding uniform steady regime. The numerical resolution of this hyperbolic system is performed by a Godunov's scheme. Numerical simulations show that density variations during flow have no influence on large avalanches and that the determination of yield stress is essential for a correct velocity estimation.
© Société Hydrotechnique de France, 1994
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