Abstract
A cellular automaton (CA) model is proposed to simulate the egress of pedestrians while gaseous hazardous material is spreading. The advection-diffusion with source term is used to describe the propagation of gaseous hazardous material. It is incorporated into the CA model. The navigation field in our model is determined by the solution of the Eikonal equation. The state transition of a pedestrian relies on the arrival time of cells in the Moore neighborhood. Numerical experiments are investigated in a room with multiple exits, and their results are shown.
Highlights
During the recent decades, the research on pedestrian flow has become an interesting and important issue to study
Many pedestrian evacuation models have been investigated by researchers on different levels of description, such as on macroscopic models and on microscopic models. e macroscopic models usually apply to the case of large crowd and involve averaged quantities, in particular density, velocity, and energy
Examples of macroscopic models used for the pedestrian flow model can be found in [1, 2] for the first order macroscopic models and in [3, 4] for second order macroscopic models. e microscopic models describe the time evolution of the position of each individual, addressed as a discrete particle
Summary
The research on pedestrian flow has become an interesting and important issue to study. A cellular automaton model is used to simulate pedestrian movements It is combined with the advectiondiffusion equation, which is applied to the gaseous hazardous material density. Is equation is used in many applications in science and engineering for fluid motion, heat transfer, and flow of gas or pollutant [13] We solve it Modelling and Simulation in Engineering numerically by the operator splitting method, which is an efficient approach to solve problems in multidimensions. For the navigation field in our model, the Eikonal equation is applied to attain the arrival time of each cell in the domain. E influences of the pedestrian density and the hazard source location on the arrival time and evacuation time are investigated and discussed.
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