Natural Hazards and Earth System Science www.nat-hazards-earth-syst-sci.net 1561-8633 1684-9981 8 1 2008 10.5194/nhess-8-47-2008 http://www.nat-hazards-earth-syst-sci.net/8/47/2008/ http://www.nat-hazards-earth-syst-sci.net/8/47/2008/nhess-8-47-2008.html http://www.nat-hazards-earth-syst-sci.net/8/47/2008/nhess-8-47-2008.pdf 47 58 2008-02-04 GIS-based two-dimensional numerical simulation of rainfall-induced debris flow C. Wang chunxiangwang@hotmail.com S. Li T. Esaki Geotechnical and Structure Engineering Center, Shandong University, China Institute of Environment Systems, Kyushu University, Japan This paper aims to present a useful numerical method to simulate the propagation and deposition of debris flow across the three dimensional complex terrain. A depth-averaged two-dimensional numerical model is developed, in which the debris and water mixture is assumed to be continuous, incompressible, unsteady flow. The model is based on the continuity equations and Navier-Stokes equations. Raster grid networks of digital elevation model in GIS provide a uniform grid system to describe complex topography. As the raster grid can be used as the finite difference mesh, the continuity and momentum equations are solved numerically using the finite difference method. The numerical model is applied to simulate the rainfall-induced debris flow occurred in 20 July 2003, in Minamata City of southern Kyushu, Japan. The simulation reproduces the propagation and deposition and the results are in good agreement with the field investigation. The synthesis of numerical method and GIS makes possible the solution of debris flow over a realistic terrain, and can be used to estimate the flow range, and to define potentially hazardous areas for homes and road section. Arai, M. and Takahashi, T.: The Karman constant of the flow laden with high sediment, Proc. 3rd Int. Symp. on River Sedimentation, Univ. of Mississippi, 824–833, 1986. Anderson, S. 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