Two-dimensional simulation of debris flows in erodible channels

Authors:
Aronne Armanini;Luigi Fraccarollo;Giorgio Rosatti
Affiliations:
Department of Civil and Environmental Engineering, CUDAM, University Centre for the Hydrogeological Defence of the Mountain Environment, University of Trento, Trento, Italy;Department of Civil and Environmental Engineering, CUDAM, University Centre for the Hydrogeological Defence of the Mountain Environment, University of Trento, Trento, Italy;Department of Civil and Environmental Engineering, CUDAM, University Centre for the Hydrogeological Defence of the Mountain Environment, University of Trento, Trento, Italy
Venue:
Computers & Geosciences
Year:
2009

Citing 1
Cited 3

A well-balanced approach for flows over mobile-bed with high sediment-transport

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Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed

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The Riemann Problem for the one-dimensional, free-surface Shallow Water Equations with a bed step: Theoretical analysis and numerical simulations

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Hyperconcentrated 1D Shallow Flows on Fixed Bed with Geometrical Source Term Due to a Bottom Step

Journal of Scientific Computing

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Abstract

Debris flows are massive sediment transports of poorly sorted material that occur in small steep mountain catchments. The paper addresses the problem of the propagation of cohesionless debris flows, in which the erosion and sedimentation processes are important and the fixed bed assumption is not acceptable. The depth-averaged motion equations are integrated numerically in a two-dimensional domain. The model is based on a two-phase description of the flow with immediate adaptation of the transport to local flow conditions and with rheological closure valid in the grain-inertia regime. The set of partial differential equations is simplified in order to end up with a hyperbolic system that is solved numerically by means of a second order Godunov-type, finite volume scheme that is accurate in space and time. The scheme uses an approximated Riemann solver of LHLL type, which takes into account the non-conservative terms, and an implicit discretization of the bed shear-stress source terms. The model parameters are determined by means of laboratory flume tests on the site material. Two real-case applications show the effectiveness of the code and how it can be used in predictive situations as in the case of defensive work assessment and verification or hazard mapping.