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Mathematical Modelling of Debris Flows with a Finite Volume Scheme

Author(s): Paolo Ghilardi; Fabrizio Savi; Maria Pilar Brufau; Pilar Garcia-Navarro

Linked Author(s): Pilar García-Navarro

Keywords: Debris flow; Alluvial fans; Unsteady flow

Abstract: An upwind finite volume scheme is applied to solve the differential equations governing the dynamics of a liquid-solid mixture. These equations differ from those of the monophasic water flow by the presence of some terms characteristic of the bifasic nature of the mixture, such as bed erosion rate, sediment concentration, bed shear stress, etc. The numerical method is first order in both space and time. The treatment of the source terms is specified in detail and some comparison with laboratory experiments and real world events are presented.


Year: 1999

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