Traffic flow model on networks using numerical fluxes at the junctions

Abstract

We describe the simulation of traffic flows on networks. On individual roads we use standard macroscopic traffic models.

The discontinuous Galerkin method in space and the explicit Euler method in time is used for the numerical solution. We introduce limiters to keep the density in an admissible interval as well as prevent spurious oscillations in the numerical solution.

To simulate traffic flow on networks, we construct suitable numerical fluxes at junctions.

Keywords

• Traffic flow
• discontinuous Galerkin method
• junctions
• numerical flux