The lattice hydrodynamic model considering the human subconscious behavior for the counter flow

Publication Type:

Conference Paper

Source:

Pedestrian and Evacuation Dynamics PED (2012)

Abstract:

In this paper, based on the two-dimensional lattice hydrodynamic model considering the path change in the bidirectional pedestrian flow, a new lattice hydrodynamic model for the counter flow is proposed. In this model, the pedestrian’s habits included that the walkers prefer to walk on the right-hand side of road, and faster walkers are used to overtaking the preceding walkers in the same direction from the left-hand side of the road, are taken account. In our model, pcr, pcl are used to represent the magnitude of the walkers overtaking the preceding walkers from his or her right-hand and left-hand, respectively. pr, pl are used to represent the strength walking to the right-hand side or the left-hand side of road.

The computer simulations are carried out. The up and down boundaries are no-flux, the right and left boundaries are periodic. The initial conditions are chosen as follows: ρ( i, j)= ρc=ρ0=0.2 at t=0; then the local densities ρ( L/2, W/2) and ρ( L/2-1, W/2-1) at time t=1 are set as 0.1 and 0.3, where L and W is the length and width of the channel, and taking L=200, W=50. During the simulation, we take pr> pl and pcl> pcr. The results of the simulations indicate that, when pcr closes to pcl, the spatial distribution of the total density ρ takes on regularity, and the jam appears. When pcr is apparently smaller than pcl, the spatial distribution of the total density ρ takes on no-regularity, and the lane formation takes on.