A semi-conservative depth-averaged Material Point Method for fast flow-like landslides and mudflows

Keywords

Advanced Numerical Methods for Scientific Computing
Geosciences/Protection of Land and Water Resources
Code:
17/2024
Title:
A semi-conservative depth-averaged Material Point Method for fast flow-like landslides and mudflows
Date:
Wednesday 14th February 2024
Author(s):
Fois, M.; de Falco, C.; Formaggia, L.
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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.
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Communications in Nonlinear Science and Numerical Simulation, Special Issue: Nonlinear models of natural disasters: prediction, risk mitigation and reduction