A new MOX Report entitled “A semi-conservative depth-averaged Material Point Method for fast flow-like landslides and mudflows” by Fois, M.; de Falco, C.; Formaggia, L. has appeared in the MOX Report Collection.
Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/17-2024.pdf
Abstract: We present a two-dimensional semi-conservative variant of the depth averaged material point method (DAMPM) for modelling flow-like landslides. The mathematical model is given by the shallow water equations, derived from the depth-integration of the Navier-Stokes equations with the inclusion of an appropriate bed friction model and material rheology, namely Voellmy and the depth-integrated Bingham viscoplastic stress model, respectively. After assessing the accuracy and performance of the proposed numerical method by means of several idealised benchmarks, we test its behaviour in a realistic scenario.
