Godunov-like numerical fluxes for conservation laws on networks

Abstract

We describe a numerical technique for the solution of macroscopic traffic flow models on networks of roads. On individual roads, we consider the standard Lighthill-Whitham-Richards model which is discretized using the discontinuous Galerkin method along with suitable limiters.

In order to solve traffic flows on networks, we construct suitable numerical fluxes at junctions based on preferences of the drivers. Numerical experiment comparing different approaches is presented.

Keywords

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