Microscopic and macroscopic models for pedestrian crowds
This thesis is concerned with microscopic and macroscopic models for pedes-
trian crowds. In the first chapter, we consider pedestrians exit choices and
model human behaviour in an evacuation process. Two microscopic models,
discrete and continuous, are studied in this chapter. The former is a cellular
automaton model and the latter is a social force model. Different numerical
test cases are investigated and their results are compared.
In chapter 2, a hierarchy of models for pedestrian flows is derived. We
examine a detailed microscopic social force model coupled to a local visibil-
ity model on the one hand and macroscopic models including the interaction
forces and a local visibility term on the other hand. Particle methods are
applied to solve these models. Numerical experiments are explored and com-
pared on the microscopic as well as on the hydrodynamic and scalar models.