A cellular automaton model for a pedestrian flow problem

نویسندگان

چکیده

The evacuation phenomena in the two dimensional pedestrian flow model are simulated. intended direction of escape pedestrians panic situations is governed by Eikonal equation model. A new two-dimensional Cellular Automaton (CA) proposed for simulation flow. solution used to define probability matrix whose elements express a moving finite set directions. novelty this paper lies construction density dependent matrix. relevant scenarios numerically solved. Predictions behavior pedestrians, various room geometries with multiple exits, demonstrated. mathematical justified comparison CA approach Finite Volume Method space discretization and Discontinuous Galerkin implicit time

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ژورنال

عنوان ژورنال: Mathematical Modelling of Natural Phenomena

سال: 2021

ISSN: ['1760-6101', '0973-5348']

DOI: https://doi.org/10.1051/mmnp/2021002