Summary: | 碩士 === 國立成功大學 === 水利及海洋工程學系 === 102 === In order to predict the propagation, path and run-out distance of landslides and debris flows, it is of special interest to research the property of granular flows. In the present study, there is a non-material singular surface with mass flux through it which divides granular flows into two layers: a rapid surface flowing layer and a stagnant base. When landslides or debris flows occur, the erosion and deposition proceed between the two layers. The model equations are derived either in conventional Cartesian coordinates system with topographic correction or in curve-linear coordinate system with shallow curvature. Up to now, the contribution of the local curvature in the model equations is the centrifugal force alone. The study of the other effects caused by curvature on the flow behavior is rather rare. In this paper, we focus on how the local curvature influence the flow behavior, such as the flow thickness, run-out distance, erosion/deposition rate or even the mesh-size-dependency. The evolution of the topography is described by a moving coordinate model. For the numerical method, we use a shock-capturing non-oscillatory central (NOC) scheme. The numerical results show that our theory is a remarkably qualitative agreement between the simulation and the one-sided collapse flow experiment.
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