Discontinuous Galerkin method for macroscopic traffic flow models on networks using numerical fluxes at junctions

Abstract

Modelling of traffic flows will have an important role in the future. With a rising number of cars on the roads, we must optimize the traffic situation.

That is the reason we started to study traffic flows. It is important to have working models which can help us to improve traffic flow.

We can model real traffic situations and optimize e.g. the timing of traffic lights or local changes in the speed limit. The benefits of modelling and optimization of traffic flows are both ecological and economical.

Keywords

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