A macroscopic model for crossing pedestrian streams
Abstract
We model a macroscopic multi-pedestrian flow by a convection-diffusion equation. The convection corresponds to a movement towards a strategic direction whereas the diffusion corresponds to a tactical movement that avoids jams. Different populations moving in different directions are represented by different phases.
- Publication:
-
Numerical Analysis and Applied Mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics
- Pub Date:
- September 2012
- DOI:
- 10.1063/1.4756610
- Bibcode:
- 2012AIPC.1479.2122S
- Keywords:
-
- convection;
- diffusion;
- pedestrians;
- 02.90.+p;
- 89.40.Bb;
- Other topics in mathematical methods in physics;
- Land transportation