The non-smooth view for contact dynamics by Michel Frémond extended to the modeling of crowd movements

P. Pecol (1) , Pierre Argoul (1) , Stefano Dal Pont (2) , Silvano Erlicher (3)

1 Dynamique des structures et identification
2 navier umr 8205 - Laboratoire Navier
3 EGIS

The non-smooth view of Michel Frfiemond has already been proven successful in managing collisions between rigid particles and in this paper, it will be adapted so as to represent pedestrians and their strategy of displacement. The developed discrete approach applies a rigorous thermodynamic framework in which the local interactions between particles are managed by the use of pseudopotentials of dissipation. It handles local interactions such as pedestrian-pedestrian and pedestrian-obstacle in order to reproduce the global and real dynamics of pedestrian trafic. Social forces are introduced and implemented in order to simulate the behavior of pedestrians and subgroups of pedestrians. The numerical implementation allows us to perform simulations in various situations so that the safety and comfort of public spaces can be enhanced.

Domaines: Sciences de l'ingénieur [physics]; Matériaux

P. Pecol, Pierre Argoul, Stefano Dal Pont, Silvano Erlicher. The non-smooth view for contact dynamics by Michel Frémond extended to the modeling of crowd movements. Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (2), pp.547-565. ⟨10.3934/dcdss.2013.6.547⟩. ⟨hal-00946128⟩