HYBRID ANALYSIS OF PEDESTRIAN FLOW BY FINITE DIFFERENCE METHOD AND PARTICLE METHOD

Abstract

We develop a hybrid method using the finite difference method (FDM) and the smoothed particle hydrodynamics (SPH) to simulate evacuation of pedestrian. A distribution of potential that corresponds to the shortest path between arbitrary two points is determined by the FDM-based fast marching method. Using the potential distribution a partial differential equation model of pedestrian flow is solved by the SPH. We conduct simulations to discuss qualitative validity of our proposed method.