Name
Abstract | ||
|---|---|---|
This paper deals with the numerical resolution of a shallow water viscoplastic flow model. Viscoplastic materials are characterized by the existence of a yield stress: below a certain critical threshold in the imposed stress, there is no deformation and the material behaves like a rigid solid, but when that yield value is exceeded, the material flows like a fluid. In the context of avalanches, it means that after going down a slope, the material can stop and its free surface has a non-trivial shape, as opposed to the case of water (Newtonian fluid). The model involves variational inequalities associated with the yield threshold: finite-volume schemes are used together with duality methods (namely Augmented Lagrangian and Bermudez-Moreno) to discretize the problem. To be able to accurately simulate the stopping behavior of the avalanche, new schemes need to be designed, involving the classical notion of well-balancing. In the present context, it needs to be extended to take into account the viscoplastic nature of the material as well as general bottoms with wet/dry fronts which are encountered in geophysical geometries. We derived such schemes and numerical experiments are presented to show their performances. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jcp.2014.01.026 | J. Comput. Physics |
Keywords | Field | DocType |
certain critical threshold,yield stress,numerical experiment,viscoplastic avalanche,viscoplastic material,material flow,yield value,numerical resolution,yield threshold,efficient numerical scheme,newtonian fluid,present context,viscoplastic,finite volume,shallow water,variational inequality | Discretization,Mathematical optimization,Mathematical analysis,Yield (engineering),Viscoplasticity,Augmented Lagrangian method,Newtonian fluid,Numerical analysis,Finite volume method,Mathematics,Variational inequality | Journal |
Volume | ISSN | Citations |
264 | 0021-9991 | 1 |
PageRank | References | Authors |
0.43 | 7 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Enrique D. Fernández-Nieto | 1 | 1 | 0.43 |
| José M. Gallardo | 2 | 126 | 13.35 |
| Paul Vigneaux | 3 | 13 | 1.78 |