Numerical simulation of grain-fluid flow due to slope collapse

概要

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The Coulomb mixture model that was developed to predict the behavior of grain-fluid flows due to slope collapse is also promising to predict the behavior of debris-laden flash floods. The model assumes that grain-fluid flows behave as mixtures of interacting Newtonian fluids and Coulomb solids. Solid and fluid constituents obey three-dimensional mass and momentum balances, which are summed and depth-integrated to yield equations that describe shallow flows of the mixture as a whole. The leapfrog finite different method provides an effective tool for solving the shallow water flow equations. In order to exactly predict the range of sediment, a stop condition of grain-fluid flow, the third-order upwind scheme and the preserving mass conservation method are applied to the numerical model. The numerical method is verified by comparing with Denlinger's (2001) small-scale granular avalanche experiment. In addition, the simulated result for a slope collapse occurred in the suburb Hirosaki Japan is in good agreement with the actual phenomena.
公益社団法人日本地すべり学会の論文