Pedestrian flow Granular flow Materias Investigación: Física y Matemática aplicada
Chen, S., Alonso-Marroquin, F., Busch, J., Cruz-Hidalgo, R. (Raúl), Cruz-Hidalgo, R. (Raúl), Sathianandan, C., Ramírez-Gómez, A., Mora, P. ""Scaling laws in granular flow and pedestrian flow"", Powders and grains 2013 : Proceedings of the 7th International Conference on Micromechanics of Granular Media, pp. 157-160.
We use particle-based simulations to examine the flow of particles through an exit. Simulations involve both
gravity-driven particles (representing granular material) and velocity-driven particles (mimicking pedestrian dynamics).
Contact forces between particles include elastic, viscous, and frictional forces; and simulations use bunker geometry.
Power laws are observed in the relation between flow rate and exit width. Simulations of granular flow showed that the
power law has little dependence on the coefficient of friction. Polydisperse granular systems produced higher flow rates
than those produced by monodisperse ones. We extend the particle model to include the main features of pedestrian
dynamics: thoracic shape, shoulder rotation, and desired velocity oriented towards the exit. Higher desired velocity
resulted in higher flow rate. Granular simulations always give higher flow rate than pedestrian simulations, despite the
values of aspect ratio of the particles. In terms of force distribution, pedestrians and granulates share similar properties
with the non-democratic distribution of forces that poses high risks of injuries in a bottleneck situation.