The local meshless numerical model for granular debris flow. (English) Zbl 1521.76749
Summary: The article deals with the possibilities of using local meshless methods for modeling the movement of avalanches and rapid slopes movements. These are dangerous phenomena that can cause extensive damage to the infrastructure of mountainous areas and numerical models are therefore an important tool in their prediction. Today, meshless methods are increasingly developed in many different areas for their potential advantages over conventional numerical methods. For the development of the model of debris flow, the article used the local method of weighted squares, as it proved suitable for addressing this type of differential equations. To verify the possibilities of this method, in the article, we focused on the models of dry granular soil movement and compared the results of the solution to several known cases.
MSC:
| 76M99 | Basic methods in fluid mechanics |
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
| 76T25 | Granular flows |
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