Numerical methods for geophysical yield stress fluid flows

Paul Vigneaux (1, 2)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 NUMED - Numerical Medicine

We consider a prototype of a 2D Shallow Water Bingham model. We present a 2D well-balanced FV scheme coupled to duality methods which is able to compute accurately the arrested states of avalanches. To illustrate the ability of these schemes to handle the numerical difficulties encountered in geophysical applications (complex DEM topographies, long space domains and long time scales), we present in particular a simulation of an avalanche in the Taconnaz path (Chamonix, Mont-Blanc).

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Interfaces continentales, environnement

Paul Vigneaux. Numerical methods for geophysical yield stress fluid flows. ICIAM 2019 - 9th International Congress on Industrial and Applied Mathematics, Jul 2019, Valencia, Spain. ⟨hal-02202001⟩