Numerical Simulation of Debris Flows with Weighted Moving-least-square Local Approximation
Date Issued
2015
Date
2015
Author(s)
Chuang, Che-Kai
Abstract
Taiwan is located in the convergence of tectonic plates. The plate-tectonic movement makes Taiwan’s geological status quite vulnerable. On top of that, the concentrated rainfall, climate change, hillside development, and other influences cause the land disasters to occur more frequently. In the land disaster, it not only causes the loss of life or property of the local resident, but the remediation also is a huge burden for the society. In this research, the weighted moving-least-square local approximation method of the mesh-less method is used to analyze the debris flow in the movements of the deposition regions (mountain slopes, valleys, etc.). An analytical solution and laboratory experimental results are introduced to verify present model’s accuracy. This research uses the shallow water equations as the bases, combining the constitutive relation model of debris flow proposed by O’Brien & Julien (1985) to construct the mathematical model to characterize debris flows. The model has a good verification performance comparing with the analytical solution derived by 黃 (2003) and the laboratory experiments conducted by 洪 (2011). The established numerical model of debris flow can be used in debris flow prevention schemes and debris flow warning tools. Combining the data of potential debris flow stream and on-site DEM from authority, the debris flow movements and influence range can be rapidly obtained, without numerical grid construction. The model can efficiently provide information for the provision of debris flow hazard.
Subjects
shallow water equations
debris flow
constitutive relation
local polynomial approximation
weighted moving-least-square method (WLS)
mesh-less method
Type
thesis
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ntu-104-R02521319-1.pdf
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