A well-balanced numerical scheme for debris flow run-out prediction in Xiaojia Gully considering different hydrological designs

作者：Han, Xudong; Chen, Jianping^*; Xu, Peihua; Zhan, Jiewei

来源：Landslides, 2017, 14(6): 2105-2114.

DOI：10.1007/s10346-017-0850-7

• Well-balanced numerical scheme
• Validity check
• Practical application

To simulate debris flow run-out, the governing equations for free-surface shallow flow are corrected by setting the basal flow resistance coefficients with the quadratic rheological friction model. A well-balanced numerical scheme is developed for its run-out simulation over irregular topography. A linear reconstruction is adopted for improving the spatial accuracy of the numerical scheme. Considering the complex friction terms of governing equations of debris flow, they are estimated with a full implicit scheme for ensuring stability of the numerical scheme. The validity check of run-out simulation is implemented based on general knowledge of fluid, and a well-studied case occurred in the Xiezi Gully in Yingxiu Town, Sichuan Province of China. For practical purpose, the present numerical scheme is used for run-out prediction of debris flow in Xiaojia Gully of Panzhihua City, Sichuan Province of China. Our work aims to present a well-balanced numerical scheme for debris flow run-out simulation prediction, which can be applied quite conveniently to solve other kinds of debris flow models and helpful to promote the development in debris flow numerical calculation.

• 单位
  吉林大学