About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Vacek, Lukáš ; Kučera, Václav
Construction of fluxes at junctions for the numerical solution of traffic flow models on networks. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 149-158
MSC: 65M60, 76a30, 90B20 | DOI: 10.21136/panm.2020.15
Keywords:
traffic flow; discontinuous Galerkin method; junctions; numerical flux
Summary:
We deal with the simulation of traffic flow on networks. On individual roads we use standard macroscopic traffic models. The discontinuous Galerkin method in space and explicit Euler method in time is used for the numerical solution. We apply limiters to keep the density in an admissible interval as well as prevent spurious oscillations in the numerical solution. To solve traffic networks, we construct suitable numerical fluxes at junctions. Numerical experiments are presented.
Partner of
EuDML logo